PHYSICS - wfa.uz.zgora.plwfa.uz.zgora.pl/images/files/ects/fiz_2nd_eng_17-18.pdf · Antennas...

FACULTY OF PHYSICS AND ASTRONOMYINSTITUTE OF PHYSICS

ECTS COURSE CATALOGUE

PHYSICS

SECOND DEGREE STUDIES

SEMESTER I:1. English..........................................................................................................42. Physics laboratory II.....................................................................................73. Theoretical physics.....................................................................................114. Scientific programming in Python (FK)...................................................... 135. Monte Carlo Methods (FK).........................................................................166. Modern experimental physics (FŚ)............................................................ 197. Computer assistance for experiments (FŚ)............................................... 218. Mathematical methods in physics (FT)...................................................... 239. Astrophysics I (AK) ....................................................................................2610. Dosimetry and quality control in medical physics (FM) ............................29

SEMESTER II:11. Subject in the field of humanities - Philosophy of nature...........................3212. Quantum physics I..................................................................................... 3713. Introduction to atomic and molecular physics............................................3914. Applications of computer simulations (FK)................................................4115. Unix os programming (FK).........................................................................4416. Symbolic programming in physical processes simulations (FK)...............4617. Scripting languages in data analysis (FK).................................................4818. Computer simulations (FT, FŚ).................................................................. 5019. Computational methods in environmental physics (FŚ)............................5220. Environmental chemistry (FŚ)....................................................................5521. Packages for symbolic computations (FT).................................................5822. Statistical physics (FT)...............................................................................6023. Astrophysics II (AK)....................................................................................6224. Extragalactic astronomy and cosmology (AK)...........................................6525. Radiative processes in astrophysics (AK).................................................6826. Packages for statistical analysis (FM).......................................................7027. Medical image analysis algorithms (FM)...................................................7228. Mathematical methods in biophysics and medical physics (FM)...............75

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SEMESTER III:29. Physical education..................................................................................... 7730. Variety in unity in biological sciences.........................................................7931. Social subject - Bases of economics......................................................... 8132. Solid state physics..................................................................................... 8433. Nuclear and high energy physics...............................................................8634. Internet applications programming (FK)....................................................8835. Advanced spectroscopic methods (FŚ)..................................................... 9136. Quantum physics II (FT)............................................................................ 9437. Modern radio astronomy (AK)....................................................................9638. High-energy astrophysics (AK).................................................................. 9839. Elements of bioinformatics (FM).............................................................. 10040. Graduate seminar I.................................................................................. 10341. Monographic lecture I – Elements of the relativiry theory........................105

SEMESTER IV:42. Quantum systems simulations (FK).........................................................10743. Antennas radiation (FŚ)........................................................................... 10944. Ionizing radiation and radiological protection (FŚ)...................................11145. Field theory (FT).......................................................................................11446. Elementary particle physics (FT)..............................................................11747. Astrophysics of compact objects (AK).....................................................11948. Elements of neuroscience (FM)...............................................................12249. Elements of microbiology (FM)................................................................ 12550. Graduate seminar II................................................................................. 12751. General seminar.......................................................................................12952. Monographic lecture II – Introduction to quantum information theory.....131

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E N G L I S HE N G L I S H

Course code: 09.0-WF-FizD-JęAng

Type of course: compulsory

Language of instruction: Polish

Director of studies: mgr Grażyna Czarkowska

Name of lecturer: mgr Grażyna Czarkowska

Form ofinstruct ion

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Form of receiving a credit

for a course

Number ofECTS creditsa l l o c a t e d

PHYSICS – second degree studies2

Laboratory 30 2 I Exam

COURSE AIM:The course aims to enable students to improve speaking, reading and writing skills, as well aslistening comprehension in English. It will help students to develop their ability to apply languagefunctions to effective communication in everyday life. The course also aims to further developstudents’ ability to use the language of physics in order to discuss problems and read, withunderstanding, specialist texts. It also encourages students to master their skills of expressingideas using complex language structures, e.g. Passive Voice, and grammar tenses to describepresent, past and future activities. It provides an opportunity to revise the rules and master the skillsof giving a presentation in English.

ENTRY REQUIREMENTS:B1+/B2 of the Common European Framework of Reference for Languages specified by the Councilof Europe.

COURSE CONTENTS:During the course students will learn to or improve their ability to:

describe present, past and future events using different grammar tenses (4 hours)

understand and use Passive Voice, especially in specialist texts discussing problems typical forphysics (4 hours)

exchange information concerning physical problems (4 hours)

understand definitions of numbers (2 hours)

read numbers and mathematical operations (2 hours)

understand vocabulary used technical texts (2 hours)

use properly the language of physics in speaking and writing (4 hours)

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better understand specialist texts (4 hours)

prepare and deliver a presentation on a topic concerning physics (2 hours)

discuss problems of contemporary physics and its influence on modern society in class, give ar-guments for and against (2 hours)

TEACHING METHODS:The course focuses on communication activities in functional and situational context. It encouragesstudents to speak with fluency and develop the four skills of reading, writing, listening and speakingby means of group and pair work, discussion, presentation, listening, oral and written exercises.

LEARNING OUTCOMES AND LEARNING OUTCOMES VERIFICATION METHODS:

DESCRIPTION OF THE EFFECTSYMBOLS OF

EFFECTSVERIFICATION

METHODSFORM OFCLASSES

Upon successful completion ofthe course, the students:

are able to describe present, past and future events using dif-ferent grammar tenses

languageskills and

competenceon level B2 ofthe Common

EuropeanFramework

of Referencefor

Languages.

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presentation

exam

Classes(laboratory)

understand and use Passive Voice, especially in specialist texts discussing problems typi-cal for physics

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have the ability to exchange in-formation concerning physical problems

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know definitions of numbers K2A_U14

know how to read numbers and mathematical operations

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understand vocabulary used in technical texts

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use properly the language of physics in speaking and writing

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are able to form questions con-cerning physics

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can prepare and deliver a pre-sentation on a topic concerning physics

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are able to discuss problems of contemporary physics and its influence on modern society in class, give arguments for and against

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understand the need of a life-long education

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know how to work in a group K2A_K03

ASSESSMENT CRITERIA:Classes – exam: a condition for receiving a credit is a positive mark for the exam.

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STUDENT WORKLOAD:Contact time:

classes – 30 hours

consultation – 5 hours

Private study – 25 hours, students systematically prepare for the examination.

RECOMMENDED READING:[1] C. Oxenden, V. Latham-Koenig, P. Seligson, New English File Student’s Book, Oxford

University Press, 2007.

[2] C. Oxenden, V. Latham-Koenig, P. Seligson, New English File Workbook, Oxford University

Press, 2007.

[3] J. Pasternak-Winiarska, English in Mathematics, Oficyna Wydawnicza Politechniki

Warszawskiej, Warszawa, 2006.

OPTIONAL READING:

[1] FCE Use of English by V. Evans.

[2] L. Szkutnik, Materiały do czytania – Mathematics, Physics, Chemistry, Wydawnictwa Szkolne

i Pedagogiczne.

[3] Internet articles.

PROGRAM PREPARATION:Mgr Grażyna Czarkowska

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PHYSICS LABORATORY I IPHYSICS LABORATORY I I

Course code: 13.2-WF-FizD-PrFi2



Director of studies:The academic teacher directing the labo-ratory exercises

Name of lecturer:Academic teacher from the Faculty of Physics and Astronomy

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Laboratory 105 7 I Grade

COURSE AIM:The goal of the advanced lab is to become familiar with experimental physics research. It is a testrun as an experimental physicist with all responsibilities. This includes learning how to conductmeaningful experiments, mastering important experimental instrumentation and methods, analyzingdata, drawing meaningful conclusions from them and presenting your results in a succinct manner.For this, you will conduct several experiments and error-analysis exercises.

ENTRY REQUIREMENTS:- Physics laboratory I (General Physics Lab).

- calculus.

COURSE CONTENTS:Experiments at an advanced level:

- Study of natural background radiation.

- Measurement of thermionic electron work function in the metals.

- Current–voltage characteristic of the diodes. Determination of the Boltzmann constant.

- Stefan–Boltzmann law verification.

- Hall effect.

- Study of photoelectric effect, Planck constant.

- Examination of temperature dependence of resistance of various solids.

- Study of converse piezoelectric effect (stress in response to applied electric field) by the staticmethod.

- Electron paramagnetic resonance (EPR) and Nuclear magnetic resonance (NMR) spectroscopy.

- The study of piezoelectric and elastic properties of polycrystalline ferroelectrics.

- Spontaneous and forced birefringence in TGS crystal.

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- Malus Law verification. Pockels and Kerr effect investigation.

- Diffraction of laser beam on 2D grating. Reciprocal lattice.

TEACHING METHODS:Laboratory exercises - exercises in accordance with the instructions and recommendations of theinstructor (may increase the number of measurements to be done and recommend to performadditional analyzes on the basis of measurements).


DESCRIPTION OF THE EFFECTSYMBOLS

OF EFFECTSVERIFICATION


As a result of successfully completing this course, students will be familiar with modern methods of research in the field of solid state physics, optics and physics of atoms and molecules and should understand research limitations.

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Intro quiz or test.

Parts of the report from measurements (theory, measurement procedure, conclusions)

Lab

Furthermore student should know the safety rules in science experiments. Moreover student has the ability to plan complex physics experiments including different methods of measurement.

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Supervision of student work at the experimental station, and one of the elements to check the preparation for the measurement (question about the measurement procedure).

Lab

Student is able to handle complex measurement systems using electronic and information technology tools and has the ability to perform accurate measurements and data analysis and make presentation and interpretation of measurement results.

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Execution of measurements according to the teacher’s guidance, which constitute a modification of the standard exercise. Analysisand presentation of the results of measurements inthe report.

Lab

ASSESSMENT CRITERIA:To pass the laboratory the student should make a reasonable number of exercises in order to get a total of 7.5points, with the following scores for the exercise:

1,2,3,6 – 1.0 points,

4,7,8,9 – 1.25 points,

5,11,13,14 – 1.5 points,

10,12 – 2.0 points.

The experiments will be conducted in groups of two students. Each student should submit his/her own report.The lab grade consists of two parts: the lab pre-quiz is worth 25% and the lab report is worth 75% of the gradefor each lab.

Pre-quiz: Students are expected to prepare for lab by reading the appropriate literature in advance of their lab.The pre-quiz will be taken at the beginning of each lab session and will consist of several questions onmaterial covered in the lab manual.

Lab report: The lab report is a summary of what the student has observed and understood during the lab.Although you will work in twos in the lab, lab reports are to be done individually.

The format is as follows:

Introduction: Briefly give a general overview of the experiment, your expectations (a hypothesis) and thetheory behind it. Summarize the main point of doing the lab. Your introduction should be about a 2 pages long.

Results: Present the data in the form of a table or a graph. Usually you will give details of what you observedin the lab. Show any calculations carried out etc. Remember to include units.

Discussion/Conclusion: Discuss in your own words and from your point of view your results.

Example: Looking at your results, tables or graph, can you see any general trend? What is the behaviour of the graph/line? What was the aim of the experiment? Have we achieved anything? If not, how large is the

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error? Does your result make sense? Can you compare your result to those from the books? What does the book say?

Lab reports are due one week after completion of the last measurement in the experiment.

During the last 3 weeks of the semester the students will have the option to do an extra lab to replace theworst grade and/or to run a make-up lab. At this time, any student who missed a lab, regardless if the absencewas excused or unexcused, can make up one lab.

STUDENT WORKLOAD:- Participation in classes: 15 weeks x 7 hours. = 105 hours.

- Preparation for classes: 5 x 6 = 30 hours.

- Specialized literature-reading: 12 x 5 = 60 hours.

- Analysis of performed exercises and writing reports: 6 x 10 = 60 hours.

- Participating in consultations: 10 hours.

Total: 265 hours, 12 ECTS.

Effort associated with activities that require direct participation of teachers: 115 hours, 5,2 ECTS.

RECOMMENDED READING:[1] Each task has its own list of references. The instructor helps the student to choose the most appropriate position, or suggest other items.

OPTIONAL READING:In Polish:

Poniżej wymienione książki stanowią źródło wiedzy niezbędne w II Pracowni Fizycznej:

[1] R. P. Feynman, R. B. Leighton, M. Sands, Feynmana wykłady z fizyki, t. 1-3, Wydawnictwo Naukowe PWN, Warszawa 2001.

[2] David Halliday, Robert Resnick, Jearl Walker. Podstawy fizyki, t. 1-5. Wydawnictwo Naukowe PWN, Warszawa 2005/2006.

[3] D. Halliday, R. Resnik, Fizyka, PWN, Warszawa 1994.

[4] I. Sawieliew, Wykłady z fizyki, PWN, Warszawa 2002.

[5] J. Orear, Fizyka, tom 1-2, WNT, Warszawa 2008.

[6] Cz. Bobrowski, Fizyka - krótki kurs, WNT, Warszawa 2004.

[7] P.G. Hewitt, Fizyka wokół nas, PWN, Warszawa 2008.

Fizyka atomowa i spektroskopia:

[1] Hermann Haken, Hans Christoph Wolf, Atomy i kwanty. Wprowadzenie do współczesnej spektroskopii atomowej, Wydawnictwo Naukowe PWN, Warszawa 1997.

[2] Wolfgang Demtröder, Spektroskopia laserowa, Wydawnictwo Naukowe PWN, Warszawa 1993.

Fizyka ciała stałego:

[1] Neil W. Ashcroft, N. David Termin, Fizyka ciała stałego, Państwowe Wydawnictwo Naukowe, Warszawa 1986.

[2] C. Kittel. Wstęp do fizyki ciała stałego, Państwowe Wydawnictwo Naukowe, Warszawa 1974.

[3] K. W. Szalimowa, Fizyka półprzewodników, Państwowe Wydawnictwo Naukowe, Warszawa 1974.

Optoelektronika i fizyka laserów:

[1] Bernard Ziętek, Lasery, Wydawnictwo Naukowe Uniwersytetu Mikołaja Kopernika, Toruń 2008.

[2] Bernard Ziętek, Optoelektronika. Wydawnictwo Uniwersytetu Mikołaja Kopernika, Toruń 2004.

[3] Koichi Shimoda, Wstęp do fizyki laserów, Wydawnictwo Naukowe PWN, Warszawa 1993.

Fizyka jądrowa:

[1] Ewa Skrzypczak, Zygmunt Szefliński, Wstęp do fizyki jądra atomowego i cząstek elementarnych, Wydawnictwo Naukowe PWN, Warszawa 1995.

[2] Adam Strzałkowski, Wstęp do fizyki jądra atomowego, Państwowe Wydawnictwo Naukowe, Warszawa 1979.

[3] Janusz Araminowicz, Krystyna Małuszyńska, Marian Przytuła, Laboratorium fizyki jądrowej, Państwowe Wydawnictwo Naukowe, Warszawa 1978.

In English:

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For each exercise, the instructor will indicate the literature. However, you may find useful:

General Physics

[1] Richard P. Feynman, Robert B. Leighton and Matthew Sands, The Feynman Lectures on Physics, Addison Wesley; 2 edition (August 8, 2005).

[2] David Halliday, Robert Resnick, Jearl Walker, Fundamentals of Physics, Wiley; 9 edition (March 16, 2010).

[3] Paul G. Hewitt, Conceptual Physics, Addison Wesley; 9th edition (July 2, 2001).

[4] Jay Orear, Physics, MacMillan Publishing Company (May 3, 1979).

Atomic Physics and Spectroscopy:

[1] Hermann Haken, Hans Christoph Wolf, W. D. Brewer, The Physics of Atoms and Quanta: Introduction to Experiments and Theory, pringer; 7th rev. and enlarged ed. 2005 edition (October 19, 2005).

[2] Wolfgang Demtröder, Laser Spectroscopy: Vol. 1: Basic Principles, Springer; 4th edition (July 29, 2008).

[3] Wolfgang Demtröder, Laser Spectroscopy: Vol. 2: Experimental Techniques, Springer; 4th edition (September 17, 2008).

Solid State Physics:

[1] Neil W. Ashcroft and N. David Mermin, Solid State Physics, Brooks Cole; 1 edition (January 2, 1976).

[2] Charles Kittel, Introduction to Solid State Physics, Wiley; 8 edition (November 11, 2004).

[3] Marius Grundmann, The Physics of Semiconductors: An Introduction Including Nanophysics and Applications, Springer; 2nd ed. 2010 edition (December 24, 2010).

Optoelectronics and laser physics:

[1] Koichi Shimoda, Introduction to Laser Physics, Springer; 2nd edition (September 3, 1986).

[2] Orazio Svelto, Principles of Lasers, Springer; 5th ed. 2010 edition (December 28, 2009).

Nuclear physics:

[1] Carlos A. Bertulani, Nuclear Physics in a Nutshell, Princeton University Press; 1 edition (April 3, 2007).

[2] Kenneth S. Krane, Introductory Nuclear Physics, Wiley; 3 edition (October 22, 1987).

PROGRAM PREPARATION:Dr Bartosz Brzostowski

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THEORETICAL PHYSICSTHEORETICAL PHYSICS

Course code: 13.2-WF-FizD-FiTeo



Director of studies: The academic teacher giving the lecture


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PHYSICS – second degree studies

10Lecture 45 3

I Exam

Cla s s 60 4 Grade

COURSE AIM:To familiarize students with the basic concepts of theoretical physics, which are the basis for thedevelopment of the whole of modern physics, including a description of the properties of matter,both as a discrete system of points and the continuum, or ensembles made up of large numbers ofmolecules.

ENTRY REQUIREMENTS:Knowledge of foundations of physics and mathematics corresponding to educational level undergraduate.

COURSE CONTENTS:Lectures:

Classical mechanics: Kinematics and Dynamics of particles and rigid bodies. Galileo transforms.Constrains, D’Alambert’s principle, Lagrange equations. Variational principles and conservationlaws. Noether theorem. Phase space, Hamilton equations. Invariants of canonical transformations,constants of motion. Relativistic kinematics – Lorentz transformations Minkowski space. Elementsof relativistic dynamics. Elements of elastic continuum mechanics.

Statistical mechanics: Elements of classical statistical mechanics, Elements of quantum statisticalmechanics.

Classes:

Examples of Newton equations, Kepler problem, two body problem, Euler equation for the rigidbody. Lagrange and Hamilton equations, variational principles, phase space, stability of phasetrajectories. Elements of relativistic kinematics and dynamics. Elements of classical and quantumstatistical mechanics.

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TEACHING METHODS:Conventional lectures and classes





Skill of theoretical interpretations known experimental physics factsand using mathematical methods and methods of theoretical physics to solve problems and t to describe the processes occurring in nature. Understanding the role of mathematics in physics.

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The exam Conventional

lectures

Credits of exercises Conventionalclasses

ASSESSMENT CRITERIA:LECTURE: The exam

CLASS: Credits of exercises

FINAL SCORE: (60%) exam score + (40%) classes score.

STUDENT WORKLOAD:- Participation in the lectures: 45 hours

- Participation in the exercises: 60 hours

- Participation in the examination: 2 hours

- Participation in consultation: 5 hours

- Preparation for exam: 40 hours

- Preparation for exercises: 55 hours

Total: 207 hours, 10 ECTS points.

Effort associated with activities that require direct participation of teachers: 112 hours, 5,3 ECTS.

RECOMMENDED READING:[1] L. D. Landau, E. M. Lifszic, Teoria pola, PWN, Warszawa 1976.

[2] W. Garczyński, Mechanika teoretyczna, Wyd. Uniwersytetu Wrocławskiego, Wrocław 1978.

[3] I. I. Olchowski, Mechanika teoretyczna, PWN, Warszawa 1978.

[4] J. R. Taylor, Mechanika klasyczna, PWN, Warszawa 2006.

[5] K. Huang, Mechanika statystyczna, PWN, Warszawa 1987.

OPTIONAL READING:[1] I. Arnold, Metody matematyczne mechaniki klasycznej, PWN, Warszawa 1981.

[2] H. Goldstein, Classical mechanics.

[3] F. Schutz, Chaos deterministyczny PWN, Warszawa 1995.

PROGRAM PREPARATION:Dr hab. Krzysztof Urbanowski, prof. UZ

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SCIENTIFIC PROGRAMMING IN PYTHONSCIENTIFIC PROGRAMMING IN PYTHON

Course code: 11.3-WF-FizD-PNwJP





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6Lecture 30 2

I

(FK)

Exam

Laboratory 30 2 Grade

COURSE AIM:The course aim is to introduce the Python as the scientific programming tool. Python is a general purpose,high-level and modern programming language and the capabilities of its standard library as well as theexternal modules to handle the numerical analysis in physics and related fields will be presented.

ENTRY REQUIREMENTS:Basic knowledge in programming and object oriented programming.

COURSE CONTENTS:1. General Python introduction

- Language syntex and data types

- Flow-control and exceptions

- Interactive shell

- Scripts

- Functions

- Modules

2. File I/O operations

- Writing to and saving files

- Data serialization

- Typical I/O operations errors

3. Object Oriented Programming

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- Classes and objects

- Inheritance and polymorphism

- Abstractions

4. Introduction to software engineering

- Version control systems

- Linux as IDE

- Introduction to unit-tests

- Software efficiency and profiling

5. Numerical analysis and computer simulations introduction

- The math module

- NuPy's arrays

- Random numbers

- Basic linear algebra operations in NumPy

- Differential equations solvers in NumPy

- Data visualisations in the matplotlib module

- Introduction to parallel computing with mpi4py

6. Visualization, animations and image processing

- The canvas and graphical primitives

- Plots

- Animations

- Image processing with openCV (computer vision) module

TEACHING METHODS:Lecture and computer lab, discussions, individual students readings of technical documentation



EFFECTSVERIFICATION METHODS

FORM OFCLASSES

Student is able to use Python and its standard library to implement a simple software that numerically solves a classical physics problem.

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Activity during laboratories,Projects, Discussions

Laboratory, lecture

Student is able to find out, learnand use the external Python libraries that will help him with the numerical analysis of physical problems.

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Laboratory, lecture

Student is able to perform graphical data analysis and data visualization using Python and its modules.

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Laboratory, lecture

Student is able to solve and present (in spoken and printed form) the outcomes of assignedproject.

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Laboratory, lecture

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ASSESSMENT CRITERIA:Lecture: to pass the exam the student will be asked to numerically solve a certain problem of the classicalphysics or data analysis. The examined knowledge fields and the final exam grade will be evaluated using thefollowing aspects: the problem analysis, presentation of the algorithms used in the problem solution, thepresentation of the source code and the validity of the results.

Lab: The final grade will be constructed from the grade related to the report from the project developed duringthe course (70% of the final grade) and the individual grades obtained during the laboratories (30% of the finalgrade)

STUDENT WORKLOAD:- Lecture - 30 h

- Laboratory - 30 h

- Laboratory preparations - 20 h

- Semester project - 20 h

- Examination preparation - 20 h

- Consultations - 5 h

- Examination - 2 h

Total: 127 h, 6 ECTS.

The workload requiring the participation of the teacher: 67 h, 3,2 ECTS.

RECOMMENDED READING:[1] Mark Lutz, Learning Python, Fifth Edition, O'Reilly, June 2013.

[2] http://python.org

[3] http://python-ebook.blogspot.com/

[4] http://numpy.scipy.org

PROGRAM PREPARATION:Dr Sebastian Żurek

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http://numpy.scipy.org/

http://python-ebook.blogspot.com/

http://python.org/

MONTE CARLO METHODSMONTE CARLO METHODS

Course code: 11.3-WF-FizD-MeMoC

Type of course: optional




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6Lecture 30 2

IExam


COURSE AIM:The aim of the course is to gain knowledge of Monte Carlo methods and computer simulations. Students should acquire skills of implementation of this knowledge by designing an algorithm and a computer program to model the phisical systems and then interpreting the results of computer simulations.

ENTRY REQUIREMENTS:Programming skills in structural and object oriented programming.

COURSE CONTENTS:Monte Carlo basics

A) Introduction to MC

- base notions and the history of MC

- knowledge check in probability theory and statistics

- knowledge check in thermodynamics and statistical mechanics

- applications examples

B) Random numbers generators

- Random and pseudo-random numbers

- random numbers generators (RNG)

- RNG validations

- discrete random variable generator

- continuous random variable generator

C) Discrete processes simulations

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- queue systems and queueing theory

D) Monte Carlo integrations

- knowledge checki in numerical integration

- single-variable MC integration

- multiple variable MC integration

Monte Carlo methods in physics

1) Percolations

2) Random walk

3) Gas systems

4) Spins systems:

- Ising model

- Heisenberg model

- Potts model

5) Thermodynamic systems

- NVE simulations

- NVT simulations

- NPT simulations

Monte Carlo in other fields

1) MC in social sciences

2) MC in biology

3) MC in economy

TEACHING METHODS:

Lectures and laboratory exercises, discussions, independent work with a specialized scientific literature in Polish and English, and work with the technical documentation, search for information on the Internet.Before taking the exam the student must be credited with the exercises.



OFEFFECTS

VERIFICATION METHODSFORM OFCLASSES

Students are able to implement MC algorithms that solve a specific physical problem.

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Lecture,Laboratory

Students know how to find (in the Internet) the ready-to-use programming libraries that implement some of the MC related tools and algorithms and are ableto use these libaries to solve problems inphysics.

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Lecture,Laboratory

Students are skilled to analyse and visualise the data acquired with the MC computer experiments.

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Lecture,Laboratory

Students are able to solve given physicalproblem and report its analysis in a semiscientific article and/or oral

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Lecture,Laboratory

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presentation. K1A_U07K1A_U08K1A_U09K1A_K04

ASSESSMENT CRITERIA:Lecture: positive evaluation of the examinations – students will be asked to model and simulate (using MC techniques implemented in computer program) a physical system. The problem analysis, algorithms used and its implementation quality will be verified and evaluated.

Laboratory: positive evaluation of the tests, the execution of the project.The final evaluation of the laboratory: evaluation of tests of 30%, the assessment of the project 70%.Final grade: arithmetic mean of the completion of the lecture and in classes.

STUDENT WORKLOAD:- Participation in lectures: 30 h

- Participation in lab exercises: 30 h

- Preparation for the lab exercises: 20 h

- Project preparation: 20 h

- Preparation for the completion of the lecture: 20 h

- Consulting or the lectures and exercises: 5 h

- Examinations: 2 h

TOTAL: 127 hours, 6 ECTS.

Contact hours: 67 h, 2 ECTS

RECOMMENDED READING:[1] S. Asmussen and P.W. Glynn: Stochastic Simulation, Algorithms and Analysis, Springer, 2007.

OPTIONAL READING:[1] Internet.

PROGRAM PREPARATION:Dr Sebastian Żurek

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M O D E R N E X P E R I M E N TA L P H Y S I C SM O D E R N E X P E R I M E N TA L P H Y S I C S

Course code: 13.2-WF-FizD-WFDoś





Form ofinstruct ion

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2Lecture 15 1

I

(FŚ) Exam

COURSE AIM:Study of the theoretical fundamentals and techniques of methods of the modern experimentalphysics, in particular, methods and equipment of the structural and spectroscopic investigations.

ENTRY REQUIREMENTS:The knowledge of fundamentals of the modern physics including thermodynamics and statisticalphysics, electrodynamics, atomic and nuclear physics, and quantum mechanics in the framework ofuniversity courses.

COURSE CONTENTS:Structure of condensed matter research methods of X-rays diffraction (Debye-Sherrer method,Laue method, rotating crystal method, powder method).

Other methods of structural investigations of the condensed matter (electron diffraction, neutrondiffraction, diffraction of helium atoms and hydrogen molecules.

The methods of magnetic resonances spectroscopy including nuclear magnetic resonance (NMR),electron paramagnetic resonance (EPR), ferromagnetic resonance (FMR), and other magneticresonance methods.

The optical spectroscopy methods (Raman spectroscopy, optical absorption, luminescence).

Other spectroscopic methods for investigations of the condensed matter (X-ray spectroscopy,gamma resonance (or Mössbauer) spectroscopy, beta-ray spectroscopy, alfa-ray spectroscopy,neutron spectroscopy, spectroscopy of other elementary particles.

TEACHING METHODS:Conventional lecture. Work with books including special monographs and original articles in thescientific journals.


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He has extensive knowledge in the field of physics, including its historical development, both in terms of methodology, the research and the relevance of physics to the progress of science, knowledge of the world and of human development.

K2A_W01 Lecture Exam

He knows the experimental and observational techniques along with theirlimitations. K2A_W03 Lecture Exam

He knows the theoretical basis for the operation of scientific instruments in the field of sciences and scientific disciplinesrelevant to physics.

K2A_W04 Lecture Exam

He able to plan and carry out basic experiments or observations about physical problems.

K2A_U02 Lecture Exam

Understands the need for learning throughout life, is able to inspire and organize the learning process of others.

K2A_K01 Lecture Exam

He is aware of the social impact of research typical for physics.

K2A_K05 Lecture Exam

ASSESSMENT CRITERIA:Oral examination of the full range of material. Passing the exam for a passing grade.


- Preparing for exam: 20 h

- Consultations: 3 h

- Participation in the exam: 2 h


Effort associated with activities that require direct participation of the teacher – 20 hours, 1 ECTS.

RECOMMENDED READING:[1] V. Acosta, C. L. Cowan, B.J. Graham, Podstawy fizyki współczesnej, PWN, Warszawa 1981.

[2] J. A. Weil, J. A. Bolton. J. E. Wertz, Electron Spin Resonance. Elementary Theory and Practical Applications, John Wiley & Sons, New York 1994.

[3] A. Oleś, Metody doświadczalne fizyki ciała stałego, WNT, Warszawa 1998.

OPTIONAL READING:[1] Encyklopedia fizyki współczesnej, PWN, Warszawa 1983.

[2] H. Ibach, H. Luth, Fizyka ciała stałego, PWN, Warszawa 1996.

[3] Monografie i artykuły oryginalne o metodach doświadczalnych fizyki współczesnej.

PROGRAM PREPARATION:Dr hab. Bohdan Padlyak, prof. UZ

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C O M P U T E R A S S I S TA N C E F O R E X P E R I M E N T SC O M P U T E R A S S I S TA N C E F O R E X P E R I M E N T S

Course code: 13.2-WF-FizD-KoWsE



Director of studies:The academic teacher directing the labo-ratory exercises


Form ofinstruct ion

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4Laboratory 30 2

I

(FŚ)Grade

COURSE AIM:To teach students the use of computer technology necessary for supporting physical experiments.

ENTRY REQUIREMENTS:Foundations of mathematical statistics and data analysis, the ability to program in any programming languate,the knowledge of mathematical methods of physics

COURSE CONTENTS:- Introduction to the R programming language

- Data types, the representation of datatypes in R.

- Collecting, storage, transformation and re-use of data.

- Experiment planning, the basic design of experiments, sample size calculation.

- Elements of statistical modelling.

- Linear models, least squares metod, polynomial fit.

- Nonlinear models, the Marquardt-Levenberg method.

- Elements of generalized linear models.

- Elements of signal analysis, Fourier analysis, signal filtering

TEACHING METHODS:Computer laboratory

LEARNING OUTCOMES:The student is able to describe the model of data from a specific experiment or the model expectedin an experiment (K2A_W03, K2A_U02, K2A_U03, K2A_U04). He or she can transform data and

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appreciates the collection, storage and re-use of data in a correct way (K2A_U04, K2A_U05). Thestudent can describe the difference between a static and a dynamic model (K2A_W03, K2A_W04).He or she is able to calculate the sample size for a specific experiment (K2A_W03, K2A_U04,K2A_U05). The student is able to build and test linear and nonlinear statistical models of data(K2A_W03, K2A_U04, K2A_U05). The students knows the foundations of spectral analysis andfiltering of signals (K2A_W03, K2A_W04, K2A_U05).

LEARNING OUTCOMES VERIFICATION AND ASSESSMENT CRITERIA:Final test, completion of an assigned project.

STUDENT WORKLOAD:- Participation in the laboratory: 30h

- Preparation for the laboratory: 20h

- Completion of the assigned project: 20h

- Consultations: 10h

Total: 80 hours, 4 ECTS.The workload requiring the direct participation of the teacher: 40 hours, 2 ECTS.

RECOMMENDED READING:[1] R. Nowak, Statystyka dla fizyków, PWN, Warszawa 2002.

[2] Steven W. Smith, Cyfrowe przetwarzanie sygnałów DSP. Praktyczny poradnik dla inżynierów i naukowców, Wydawnictwo BTC, 2007.

OPTIONAL READING:[1] Optimal Design of Experiments: A Case Study Approach, Peter Goos , Bradley Jones,

Wiley

PROGRAM PREPARATION: Dr hab. Jarosław Piskorski, prof. UZ

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http://www.amazon.com/s/ref=ntt_athr_dp_sr_2?_encoding=UTF8&sort=relevancerank&search-alias=books&ie=UTF8&field-author=Bradley%20Jones

http://www.amazon.com/Peter-Goos/e/B001KDJ5S4/ref=ntt_athr_dp_pel_1

M AT H E M AT I CM AT H E M AT I C AL METHODS IN PHYSICSAL METHODS IN PHYSICS

Course code: 11.1-WF-FizD-MeMaF





Form ofinstruct ion

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6Lecture 15 1

I

(FT)

Exam

Cla s s 30 2 Grade

COURSE AIM:To teach the students basic mathematical tools of differential geometry and tensor analysisnecessary to study general relativity.

ENTRY REQUIREMENTS:Mathematical analysis I and II, and algebraic and geometric methods in physics.

COURSE CONTENTS:- Elements of multivariable functions analysis: functions from R^n to R^m, continuity, limits,differentiability, Jacobi matrix of transformation, inverse and implicit function theorems.

- Elements of differential geometry: Cartesian and curvilinear coordinate systems, in R^n and in adomain of R^n, Curves in Euclidean space, length of curve, Riemannian metrics, naturalparametrisation of curve, curvature and torsions, Serret-Frenet formulae, surfaces in R^3, first andsecond fundamental form of surfaces, mean and Gauss curvatures, hypersurfaces immersed inhigher-dimensional flat spaces, notion of differential manifold, coordinates on differential manifold,tangent and cotangent spaces.

- Elements of tensor algebra. Space dual to a vector space, multilinear mapping, transformationlaws for tensor and tensor fields, algebraic operations on tensors, differential forms as skew-symmetric tensors, examples of applications of tensors in physics.

- Elements of tensor analysis: affine connection, covariant derivative, Christoffel symbols, torsion,Riemannian connection, parallel displacement, equation of parallel displacement, geodesics,curvature tensor, Euclidean coordinate, properties of the Riemann curvature tensor, curvaturescalar.

TEACHING METHODS:

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Conventional lecture with emphasis on contents useful for studies of general relativity

During class students solve exercises illustrating the content of the lecture with examples related togeneral relativity



EFFECTSVERIFICATION


The student knows and understands selected issuesmultivariate analysis, differential geometry andtensor algebra and analysis. He is familiar with theterminology used in these sciences.

K2A_W02 Exam, grade Lectures,

classes

Student can use mathematical methods to describeand model physical phenomena and processes.

K2A_W05 Exam, grade,Discussion

Lectures,

classes

Student knows and applies various curvilinearcoord ina tes , de te rmines domain o f the i rdef in i teness, Student determines natura lparametrisation of given curves, calculatescurvatures and torsions of curves. Studentcalculates fundamental forms and curvatures ofsurfaces.


Exam, grade Lectures,

classes

Student can transform of tensor fields of varioustypes under change of coordinates, make algebraicoperations of tensors, calculate Christoffel symbolsfrom metrics and from geodesic equations,determines geodesics. Student calculates curvaturetensor and curvature scalar, knows properties ofcurvature tensor and apply them.



classes

Student can find on their own various teachingmaterials concerning differential geometry andtensor calculus in Polish and English.

K2A_U09 Exam, grade Lectures,

classes

Student is aware of his knowledge and skills.Student recognise the necessity of permanenttraining and improvement of his knowledge fromapplication of mathematics to general relativity aswell as to contemporary physics.

K2A_K01 Discussion Classes

ASSESSMENT CRITERIA:Lecture:

The course credit is obtained by passing a final written exam composed of tasks of varying degreesof difficulty.

Class:

A student is required to obtain at least the lowest passing grade from tests organized during class.

To be admitted to the exam a student must receive a credit for the class

Final grade: average of grades from the class and the exam.

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 1 hour = 15 hours

- Preparation for lectures: 15 hours

- Participation in exam: 2 hours


- Participation in class: 15 weeks x 2 hours = 30 hours

- Preparation for class including preparation for tests: 30 hours

- Attending lecturers’ office hours: 10 hours


Workload connected with lectures and class requiring direct participation of the teacher amounts to57 hours. This corresponds to 2,85 ECTS points.

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RECOMMENDED READING:[1] L. M. Sokołowski, Elementy analizy tensorowej, Wydawnictwo Uniwersytetu Warszawskiego, 2010.

[2] M. Spivak, Analiza na rozmaitościach, Wydawnictwo Naukowe PWN, Warszawa 2006.

[3] A. Goetz i inni, Zewnętrzne formy różniczkowe, WNT, Warszawa 1965.

[4] S. Lovett, Differential geometry of Manifolds, A K Peters, Ltd, Natick, Massachusetts 2010.

[5] A. S. Mishchenko, A. Fomenko, A course of Differential Geometry and Topology, Mir Publishers Moscow 1988.

[6] B. A. Dubrovin, A.T. Fomenko, S.P. Novikov, Modern Geometry – Methods and Applications, Springer 1992.

[7] A. S. Mishchenko, Yu. P. Solovyev, A. T. Fomenko, Problems in Differential Geometry and Topology, Mir Publishers, Moscow 1985.

OPTIONAL READING:[1] P. M. Gadea, J. Munoz Masque, Analysis and Algebra on Differentiable Manifolds, Springer, 2009.

[2] T. Banchoff, S. Lovett, Differential Geometry of Curves and Surfaces, A K Peters, Ltd, Natick, Massachusetts 2010.

[3] S. Chandrasekhar, The Mathematical Theory of Black Holes, Clarendon Press, Oxford 1983.

[4] E. Karaśkiewicz, Zarys teorii wektorów i tensorów, Państwowe Wydawnictwo Naukowe, Warszawa 1964.

PROGRAM PREPARATION: Dr hab. Maria Przybylska, prof. UZ

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ASTROPHYSICS IASTROPHYSICS I

Course code: 13.7-WF-FizD-Astr1





Form ofinstruct ion

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6Lecture 15 1I

(AK)

Exam

Cla s s 30 2 Grade

COURSE AIM:An extension of the knowledge about stellar astrophysics, stellar evolution and binary starsevolution, and the final stages of the stellar evolution.

ENTRY REQUIREMENTS:Basic knowledge in the field of astrophysics, namely the structure and evolution of stars. Basicknowledge of celestial mechanics.

COURSE CONTENTS:- The strucrure of stars. Basic laws governing the stellar structure.

- Stellar atmospheres.

- The origin of stellar spectra.

- The influence of physical properties of a star on the shape of spectral lines.

- Evolution of stars of various masses.

- Interstellar clouds, proto-stars, circumstellar disks.

- Properities of main sequence stars of various mass and chemical composition.

- Post-main sequence evolution – giants and supergiants.

- Horizontal branch and asymptotic branch.

TEACHING METHODS:Classic lecture. Computational exercises during class plus a project method – an extended study ofa selected topic from the lecture area of interest.

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Student can name and explain the basic laws governing teh structure of stars, with the particular focus on the hydrostatic equilibrium. Based on his knowledge of physics and astronomy he can describe the structure of stars of various masses, point out and explain the reasons behind the differences. Student can explain the origin of the stellar spectrum and the influence of various physical properties on the spectral characteristic. Student has extended knowledge of the stellar evolution. He can describe the structure of a star during various stages of the evolution, based on the star’s and chemical composition. He can explain the process of stellar formation. He is able to point out and explain the differences in the evolution of stars of different mass.

K2A_W01K2A_W03

Oral exam lecture

Student has extended knowledge of the stellar evolution. He can describe the structure of a star during various stages of the evolution, based on the star’s and chemical composition. He can explain the process of stellar formation. He is able to point out and explain the differences in the evolution of stars of different mass. Using the acquired theoretical knowledge student can solve simple analytical problems concerning the stellar structure and evolution. He can independently study a chosen topic from the field of stellar evolution using the available literature. He is able to present the results of his research in a written form.

K2A_U01

K2A_U03K2A_U05K2A_U07K2A_U11K2A_U12K2A_U13K2A_K01

K2A_K03

Written test, project grade class

ASSESSMENT CRITERIA:Lecture: Oral exam, passing condition – positive grade.

Class: Written test – solving computational exercises( passing condition – positive grade), and a positive grade from the written research report.

Final grade: a weighted average of the exam grade (70%) and the class grade (30%).

STUDENT WORKLOAD:- Participation in lectures: 15 x 1 = 15 h

- Participation in classes: 15 x 2 = 30 h

- Preparation for classes: 15 x 2 = 30 h

- Homework: 15 x 1 = 15 h

- Working on a research project: 15 h


- Exam preparations: 13 h


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TOTAL: 125 h, 6 ECTS.

Workload involving direct teacher participation: 52 h corresponding to 2,5 ECTS.

RECOMMENDED READING:[1] F. Shu, Galaktyki, gwiazdy, życie, Prószyński i S_ka, 2003.

[2] M. Kubiak, Gwiazdy i materia międzygwiazdowa, PWN, 1994.

OPTIONAL READING:[1] J. Mullaney, Double & Multiple Stars and how to observe them, Springer 2005.

[2] R. Kippenhann, A. Weigert, Stellar structure and evolution, Springer 1996.

PROGRAM PREPARATION:Dr Wojciech Lewandowski

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DOSIMETRY AND QUALITY CONTROL IN MEDICALDOSIMETRY AND QUALITY CONTROL IN MEDICALP H Y S I C SP H Y S I C S

Course code: 13.2-WF-FizD-DKJwFM





Form ofinstruct ion

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6Lecture 15 1

I

(FM)

Exam


COURSE AIM:The aim of the course is to teach the students the foundations of dosimetry and quality control to the extentthat is required in healthcare centres. After completing the course the sudent is able to work with anydosimetric equipment that can be encountered in modern healthcare as well as being able to describe thepurpose and procedure of quality control in the medical setting.

ENTRY REQUIREMENTS:Competed course in radiological protection and basics of nuclear medicine.

COURSE CONTENTS:1. Trends in medical exposures

2. Units used in dosimetry, conversions, tables and software

3. Exposure and exposure cut-offs determination,

4. Practical methods of exposure determination, operating medical dosimeters

5. Patient and staff dose assesment

6. Metrology and calibration requirements

7. Clinical applications,

8. Standards in dosimetry,

9. Quality control procedures in diagnostic nuclear medicine

10. Radiopharmaceutics contaminations and the related risks

11. Quality control pipeline in diagnostic nuclear medicine,

12. Quality control in therapeutic nuclear medicine,

13. Quality tests and procedures in therapeutic nuclear medicine,

14. Handling of faults and accidents.

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TEACHING METHODS:Lecture and nuclear medicine lab, visits and training at the nuclear medicine division of the local hospital




FORM OFCLASSES

The student can name the risks connected with modern nuclear and imaging medicine. The student is able to describe the risks related with exposure to ionizing radiation connected with various nuclear medicine procedures.

K2_W03

K2_W04

K2_W07

K2_U01

K2_U07

K2_K01

Activity during laboratories,Discussions

Laboratory, lecture

The student is able to name and use the dosimetric units used in nuclear medicine and isalso able to convert between them using appropriate tables and software.

K2_W01

K2_U01

K2_U05


Laboratory, lecture

The student is able to independently read the documentation of dosimetric equipment as well as describingthe purpose and inner working of this equipment.

K2_W03

K2_W04

K2_U02

K2_U11

K2_U14

K2_K01


Laboratory, lecture

The student is able to describe the aims and the importance of quality control in nuclear medicine, both diagnostic and therapeutic.

K2_W01

K2_W07

K2_U07

K2_K01

K2_K05


Laboratory, lecture

The student can perform most dosimetric measurements with the equipment provided.

K2_W03

K2_W04

K2_U02

K2_U04

K2_K01


Laboratory, lecture

The student is able to assist during quality control procedureat a medical centre.

K2_W03

K2_W04

K2_U01

K2_U02

K2_U11

K2_K01

K2_K03


Laboratory, lecture

The student is able to prepare areport from a dosimetric or quality control procedure. The students can work in a group towards this end

K2_W07

K2_W06

K2_U01

K2_U05

K2_U10

K2_U12

K2_K03


Laboratory, lecture

ASSESSMENT CRITERIA:

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Lecture: Passing the examination involving detailed knowledge of dosimetric units, procedures as well asquality control procedures.

Lab: The final grade will be granted based on the grades achieved during laboratory exercises and hospitalpractice. These will be determined by reviewing the reports prepared by the students.

Final grade: arithmetic mean of the examination and laboratory grade.

STUDENT WORKLOAD:- Lecture - 30 h

- Laboratory - 30 h

- Laboratory preparations - 30 h

- Semester project - 30 h

- Examination preparation - 30 h

- Consultations - 10 h

- Examination - 2 h


The workload requiring the participation of the teacher: 72 h, 3 ECTS.

RECOMMENDED READING:[1] F. Jaroszyk, Biofizyka, Wydawnictwo Lekarskie PZWL, Poznań 2008.

[2] Patient Dosimetry and Quality Control in Diagnostic Radiology: Radiation dose measurements,quality criteria and quality control in digital and interventional radiology

[3] https://www.iaea.org/About/Policy/GC/GC53/GC53InfDocuments/English/gc53inf-3-att2_en.pdf

PROGRAM PREPARATION:Dr hab. Jarosław Piskorski

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SUBJECT IN THE FIELD OF HUMANITIES-SUBJECT IN THE FIELD OF HUMANITIES-PHILOSOPHY OF NATUREPHILOSOPHY OF NATURE

Course code: 08.1-WF-FizD-FiPrz



Director of studies: dr hab. Krzysztof J. Kilian, prof. UZ

Name of lecturer: dr hab. Krzysztof J. Kilian, prof. UZ

Form ofinstruct ion

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2Lecture 15 1 II Grade

COURSE AIM:The presentation of the fundamental problems in the philosophy of nature with an emphasis onthe philosophical assumptions and problems present in the natural sciences.

ENTRY REQUIREMENTS:No prerequisites

COURSE CONTENTS:[1] An overview of the methods of and currents within the philosophy of nature (FN)

Currents: (a) traditional approaches (philosophy-oriented): FN as autonomous to metaphysics; FN aspart of metaphysics; (b) non-traditional approaches (science-oriented): FN as synthesis of the results of theparticular natural sciences; FN as an extrapolation and generalisation of the results of the particular naturalsciences; FN as philosophy in science; scientific FN as the discipline on the borderline between the ontology ofnature and philosophy of science.

Methods: (a) traditional approaches: considering FN as dependent on metaphysics; considering FN asindependent of metaphysics; (b) non-traditional approaches: logic-, history- and metodology-based analyses of:assumptions, hypotheses, laws, theories, language and methods used in science aimed at capturing andanalysis of the philosophical component of scientific theories.

[2] The birth of the philosophy of natureThe posing of questions: about a change, the beginning of nature, the structure of the universe and

giving specific answers to such questions by means of searching for regularities in nature and by explaining suchregularities by only referring to what is nowadays (commonly) known as „material reality”.

The conditions that had to occur for such questions to have been posed − the emergence of specifiedlanguage allowing such explanations.

Language and the cosmology it assumes.

[3] Philosophy of nature in the initial phase of development of sciencePhilosophy as a factor hindering the development of science − logical empirists on the non-sensicallity of

philosophyPhilosophy as a factor dynamising the development of science − metaphysical research projects

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[4] Philosophy as an important part of science as suchNouvelle critique des sciences − the place of metaphysics in science, an external base of science;

relations between FN and metodology and the scientific viewpoint on the nature of reality; impact of the beliefson reality on the values accepted by scientists (e.g. simplicity, beauty, precision); changes in ontology andchanges in the language describing scientific theories; colloquial language as a non-reflexive and most generaltheory of reality; FN and moral attitutes of scientists; the impact of accepted PN on the descisions made byscientists; „good, scientific and empirical metaphysics”; metaphysical cores of scientific theories; quasi-metaphysical beliefs (ontological and heuristic models)

[5] Philosophy as the source of aprori and sine qua non conditions for scientificityDemarcation criteria and the „Laudan test” (question about accuracy; questions about precision − about

the necessary and sufficient condition; question about consequences); metodological decisions and the sine quanon conditions; the requirements for protecting and predicting of the events; foundationalism (requirements forseeking final justifications and ways of deducing of theories from the first causes) and fallibilism; methodologicalnaturalism and anti-naturalism; strong and weak sine qua non conditions of scientificity

[6] Methodological naturalism and the epistemic frames of reference Darwin's influence on the contemporary notion of science − vera causa and methodological naturalism;

methodological naturalism and anti-naturalism; epistemic frames as strong sine qua non conditions of scientificity

TEACHING METHODS:

Depending on circumstances, three forms of lecture will be used: informational, conversational andsynthetic. The first one is used to expose the students to the specific problems. The second one is used toengage the student to short discussion and question asking, especially when exposed to problems that are stillunclear. The third one is used to summarize the presented material and facilitate understanding of the keyconcepts.



OF EFFECTSVERIFICATION METHODS

FORM OFCLASSES

Studen t i s f am i l i a r w i t h bas i cterminology from philosophy of nature –is able to define the fundamentalnotions in philosophy of nature.

K2A_W06 Active participation in classes lecture

Student has an ordered knowledge andunderstanding of the main problems inphilosophy of nature − is able todescribe the problems and present theirproposed solutions.

K2A_W01 Active participation in classes lecture

Student is familiar with and understandsthe argumentation presented by chosenauthors on the basis of independentreading of their papers – is able tor e c o n s t r u c t t h e a s s u m p t i o n s ,hypotheses and arguments used.

K2A_U01 Active participation in classes lecture

Student can effectively organise his orher work and critically evaluate theprogress – is able to plan particular stepsaimed at realising given goal andevaluate their progress.

K2A_K06 Revisions and exam Independentwork

ASSESSMENT CRITERIA:Oral exam, during which the student: (a) answers correctly to two questions regarding the material covered;(b) independently prepares one chosen problem on the basis of the reading list below.

STUDENT WORKLOAD:

Contact hours

(attendance; office hours; exam)20

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Independent work

(revisions; reading)20

Total 40

ECTS

Activity with the teacher 1

Activity without the tearcher 1

Total 2

RECOMMENDED READING:Problem area [1]:

Zygmunt HAJDUK, Filozofia przyrody, w: Andrzej MARYNIARCZYK (red). Powszechna Encyklopedia Filozofii, Polskie Towarzystwo Tomasza z Akwinu, Lublin 2003, http://www.ptta.pl/pef/pdf/f/filozofiapr.pdf ;

Kazimierz JODKOWSKI, Filozofia przyrody jako warunek sine qua non powstania i rozwoju nauki, „Roczniki Filozoficzne” 2005, t. 53, nr 2, s. 424-427, http://www.ifil.uz.zgora.pl/images/Jodkowski.publikacje/Jodkowski,_Filozofia_przyrody_jako_warunek_sine_qua_non_powstania_i_rozwoju_nauki.pdf ;

Anna LATAWIEC, W poszukiwaniu obrazu współczesnej filozofii przyrody, w: Mariola KUSZYK−BYTNIEWSKA,Andrzej ŁUKASIK (red.), Filozofia przyrody współcześnie, Universitas, Kraków 2010, s. 29-42, http://bacon.umcs.lublin.pl/~lukasik/Konferencja%20(teksty%20referatow)/Latawiec.pdf ;

Andrzej ŁUKASIK, Wprowadzenie, w: KUSZYK−BYTNIEWSKA, ŁUKASIK (red.), Filozofia przyrody współcześnie…, s. 5-28, http://www.publio.pl/files/samples/81/22/bf/49415/Filozofia_przyrody_wspolczesnie_demo.pdf ;

Andrzej ŁUKASIK, Filozofia przyrody. Podstawowe zagadnienia, cz. 1, „Wiadomości Uniwersyteckie” nr 3 (144), marzec 2008, s. 21-22; idem, Filozofia przyrody. Podstawowe zagadnienia, cz. 2, „Wiadomości Uniwersyteckie” nr 4 (145), kwiecień 2008, s. 25-28, http://goskli.republika.pl/praca/fil_pliki/fp1_pz.pdf , https://ostojafilozoficzna.files.wordpress.com/2010/05/filozofia-przyrody-podstawowe-zagadnienia.pdf .

Problem area [2]:

Paul. K. FEYERABEND, Przeciw metodzie, przekł. Stefan WIERTLEWSKI, Wydawnictwo Siedmioróg, Wrocław 2001, rozdział 16;

Karl R. POPPER, Z powrotem do presokratyków, w: idem, Droga do wiedzy. Domysły i refutacje, przekł.Stefan AMSTERDAMSKI, Wydawnictwo Naukowe PWN, Warszawa 1999, s. 233-260;

Bruno SNELL, Odkrycie ducha. Studia o greckich korzeniach europejskiego myślenia, przekł. Agna ONYSYMOW, Fundacja Aletheia, Warszawa 2009, rozdziały: 1,9,10.

Problem area [3]:

Rudolf CARNAP, Przezwyciężenie metafizyki przez logiczną składnię języka, w: Barbara STANOSZ (red.), Empiryzm współczesny, Wydawnictwa Uniwersytetu Warszawskiego, Warszawa 1991, s. 52-74,Karl R. POPPER, A Metaphysical Epilogue, w: idem, Quantum Theory and the Schism in Physics. Fromthe Postscript to The Logic of Scientific Discovery, Roman and Littlefield, Totowa 1982, s. 159-209,http://www.the-rathouse.com/2010/Metaphysical_Epilogue.pdf

Problem area [4]:

Pierre DUHEM, La theorie physique − son objet, et sa structure, przekł. Monika SAKOWSKA, w: Krzysztof SZLACHCIC, Filozofia nauk empirycznych…, s. W36-W95;

Paul K. FEYERABEND, Przeciw metodzie…, rozdział 19;Kazimierz JODKOWSKI, Metodologiczne aspekty kontrowersji ewolucjonizm − kreacjonizm, „Realizm,

Racjonalność, Relatywizm” t. 35, Wydawnictwo UMCS, Lublin 1989, s. 233-238;Thomas S. KUHN, Postscriptum, w: idem, Struktura rewolucji naukowych, przekł. Justyna NOWOTNIAK,

Aletheia, Warszawa 2001, s. 301-360;Imre LAKATOS, Lakatos, Criticism and the Methodology of Scientific Research Programmes,

„Proceedings of the Aristotelian Society. New Series” 1968-1969, vol. 69, s. 149-186;Henryk MEHLBERG, O niesprawdzalnych założeniach nauki, w: Tadeusz PAWŁOWSKI (red.), Logiczna

teoria nauki, PWN, Warszawa 1966, s. 341-361;Henri POINCARÉ, Nauka i Hipoteza, Warszawa 1908, rozdz. IX: Hipotezy w fizyce.

Problem area [5]:

A. Rupert HALL, Rewolucja naukowa 1500 − 1800. Kształtowanie się nowożytnej postawy naukowej,przekł. Tadeusz ZEMBRZUSKI, Instytut Wydawniczy PAX, Warszawa 1966, rozdziały 6, 7;

34

http://www.the-rathouse.com/2010/Metaphysical_Epilogue.pdf

https://ostojafilozoficzna.files.wordpress.com/2010/05/filozofia-przyrody-podstawowe-zagadnienia.pdf

http://goskli.republika.pl/praca/fil_pliki/fp1_pz.pdf

http://www.publio.pl/files/samples/81/22/bf/49415/Filozofia_przyrody_wspolczesnie_demo.pdf

http://bacon.umcs.lublin.pl/~lukasik/Konferencja%20(teksty%20referatow)/Latawiec.pdf

http://www.ifil.uz.zgora.pl/images/Jodkowski.publikacje/Jodkowski,_Filozofia_przyrody_jako_warunek_sine_qua_non_powstania_i_rozwoju_nauki.pdf

http://www.ifil.uz.zgora.pl/images/Jodkowski.publikacje/Jodkowski,_Filozofia_przyrody_jako_warunek_sine_qua_non_powstania_i_rozwoju_nauki.pdf

http://www.ptta.pl/pef/pdf/f/filozofiapr.pdf

Jerzy KIERUL, Izaak Newton. Bóg światło i świat, Oficyna Wydawnicza Quadrivium, Wrocław 1996, http://www.strony.toya.net.pl/~jerzykierul/Newton; http://wiedzaiedukacja.eu/wp-content/uploads/2008/11/jerzykierul_isaacnewtonbogswiatloswiat.pdf ;

Larry LAUDAN, Zgon kryterium demarkacji, w: Zbysław MUSZYŃSKI (red.), Z badań nad prawdą, nauką i poznaniem, „Realizm, Racjonalność, Relatywizm” t. 31, Wydawnictwo UMCS, Lublin 1998, s. 63-79,

Problem area [6]:

Piotr BYLICA, Naturalizm metodologiczny jako warunek naukowości w kontekście relacji nauki i religii, „Przegląd Filozoficzny – Nowa Seria” 2004, r. 13, nr 3 (51), s. 163-175, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/414-pr-art-38 ;

Piotr BYLICA, Wpływ teizmu chrześcijańskiego na rozumienie nauki oraz relacji między sferą przyrodniczą i nadprzyrodzoną w okresie rewolucji naukowej XVI-XVII w. a teza o wrodzonym konflikcie między nauką a religią, „Kwartalnik Historii Nauki i Techniki” 2013, r. 58, nr 1, s. 73-90, http://www.nauka-a-religia.uz.zgora.pl/index.php/grupa-lokalna/czlonkowie/15-przedruki/465-pr-art-88

Kazimierz JODKOWSKI (red.), Teoria inteligentnego projektu − nowe rozumienie naukowości?, „Biblioteka Filozoficznych Aspektów Genezy” t. 1, Wydawnictwo MEGAS, Warszawa 2007, http://www.nauka-a-religia.uz.zgora.pl/index.php/component/content/article/15-przedruki/332-pr-art-7 ;

Kazimierz JODKOWSKI, Epistemiczne układy odniesienia i „warunek Jodkowskiego”, w: Anna LATAWIEC, Grzegorz BUGAJAK (red.), Filozoficzne i naukowo-przyrodnicze elementy obrazu świata 7, Wydawnictwo Uniwersytetu Kardynała Stefana Wyszyńskiego, Warszawa 2008, s. 108-123, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/438-pr-art-62 ;

Dariusz SAGAN, Naturalizm metodologiczny − konieczny warunek naukowości?, „Roczniki Filozoficzne” 2013, t. LXI, nr 1, s. 73-91, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/455-pr-art-78 ;

Dariusz SAGAN, Teoria inteligentnego projektu - argumenty za i przeciw, Stanisław JANECZEK, Anna STAROŚCIC, Dariusz DĄBEK i Justyna HERDA (red.), Filozofia przyrody, „Dydaktyka Filozofii” t. III, Wydawnictwo Katolickiego Uniwersytetu Lubelskiego, Lublin 2013, s. 335-383, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/775-pr-art-109 .

OPTIONAL READING:Problem area [1]:

Kazimierz KŁÓSAK, Z teorii i metodologii filozofii przyrody, Księgarnia Św. Wojciecha, Poznań 1980;Zygmunt HAJDUK, Filozofia Przyrody: Filozofia Przyrodoznawstwa: Metakosmologia, Towarzystwo

Naukowe KUL, Katolicki Uniwersytet Lubelski Jana Pawła II, Lublin 2007.

Problem area [2]:

Paul K. FEYERABEND, Conquest of Abundance. A Tale of Abstraction versus The Richness of Being,The University of Chicago Press, Chicago and London 1999;

Kazimierz JODKOWSKI, Teza o niewspółmierności w ujęciu Thomasa S. Kuhna i Paula K. Feyerabenda, „Realizm. Racjonalność. Relatywizm” t. 1, Wydawnictwo UMCS, Lublin 1984;

Kazimierz JODKOWSKI, Krzysztof KILIAN, Feyerabendowskie rozwiązanie problemu psychofizycznego, w: Wiesław DYK (red.), Sozologia systemowa. Tom V. Ekosfera: Człowiek i jego środowisko w aspekcie przyrodniczym, filozoficznym i teologicznym, Wydawnictwo Uniwersytetu Szczecińskiego, Szczecin 2013, s. 61-76, http://www.nauka-a-religia.uz.zgora.pl/index.php/grupa-lokalna/czlonkowie/15-przedruki/770-pr-art-108 .

Problem area [3]:

Pierre DUHEM, Physique de croyant, przekł. Monika SAKOWSKA, w: Krzysztof SZLACHCIC, Filozofia nauk empirycznych Pierre’a Duhema, Wydawnictwo Uniwersytetu Wrocławskiego, Wrocław 2011, s. W96-W109;

Kazimierz JODKOWSKI, Filozofia przyrody a nauki przyrodnicze, „Colloquia Communia” 2007, 1-2 (82-83),s. 15-22;

Kazimierz JODKOWSKI, W poszukiwaniu twardego jądra ewolucjonizmu, „Filozofia Nauki” 2001, nr 2, s. 7-18, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/330-pr-art-5 ;

Krzysztof J. KILIAN, Od metody do metafizyki. Poznanie teoretyczne w ujęciu Karla R. Poppera, Wydawnictwo WSP, Rzeszów 2001, s. 65-72;Karl R. Popper, Nędza historycyzmu, przekł. Stanisław Żerski, Wydawnictwo KRĄG, Warszawa 1984, s. 53-54;

Karl R. POPPER, O chmurach i zegarach. Zarys teorii racjonalności i wolności człowieka, w: idem, Wiedza obiektywna. Ewolucyjna teoria epistemologiczna, przekł. Adam Chmielewski, Wydawnictwo Naukowe PWN, Warszawa 1992, s. 306-307;

Karl R. POPPER, Dwa oblicza zdrowego rozsądku. Argument w obronie zdroworozsądkowego realizmu i przeciwko zdroworozsądkowej teorii wiedzy, w: idem, Wiedza obiektywna…, s. 98-99;

Karl R. POPPER, Nieustanne poszukiwania. Autobiografia intelektualna, Wydawnictwo ZNAK, przekł. Adam Chmielewski, Kraków 1997, s. 235−239.

35

http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/330-pr-art-5

http://www.nauka-a-religia.uz.zgora.pl/index.php/grupa-lokalna/czlonkowie/15-przedruki/770-pr-art-108







http://www.nauka-a-religia.uz.zgora.pl/index.php/component/content/article/15-przedruki/332-pr-art-7

http://www.nauka-a-religia.uz.zgora.pl/index.php/component/content/article/15-przedruki/332-pr-art-7





http://wiedzaiedukacja.eu/wp-content/uploads/2008/11/jerzykierul_isaacnewtonbogswiatloswiat.pdf

http://www.strony.toya.net.pl/~jerzykierul/Newton

Problem area [4]:

Kazimierz JODKOWSKI, Nienaukowy fundament nauki, w: Zbigniew PIETRZAK (red.), Granice nauki, „Lectiones & Acroases Philosophicae” 2013, t. VI, nr 1, s. 59-108, http://www.nauka-a-religia.uz.zgora.pl/index.php/nowosci/15-przedruki/462-pr-art-85 ;

Andrzej ŁUKASIK, Filozofia przyrody a nauki przyrodnicze, „Ostoja filozoficzna. Blog” 2010, nr 1, s. 32-39, https://ostojafilozoficzna.files.wordpress.com/2010/05/filozofia-przyrody-a-nauki-przyrodnicze.pdf .

Problem area [5]:

Stefan AMSTERDAMSKI, Kłopoty z kryterium demarkacji, w: idem, Między doświadczeniem a metafizyką,PWN, Warszawa 1973, s. 40–72

Kazimierz JODKOWSKI, Metafizyczne opowieści nauki jako fundament pluralizmu naukowego, w: Phillip E.JOHNSON, Wielka metafizyczna opowieść nauki (z posłowiem Kazimierza Jodkowskiego), „Archiwum Na Początku...” z. 13, Polskie Towarzystwo Kreacjonistyczne, Warszawa 2003, s. 74-85.

Problem area [6]:

Michael J. BEHE, Czarna skrzynka Darwina. Biochemiczne wyzwania dla ewolucjonizmu, przekł. Dariusz Sagan, „Biblioteka Filozoficznych Aspektów genezy” t. 4, Wydawnictwo MEGAS, Warszawa 2008;

Kazimierz JODKOWSKI, Spór ewolucjonizmu z kreacjonizmem. Podstawowe pojęcia i poglądy, „Biblioteka Filozoficznych Aspektów Genezy” t. 1, Wydawnictwo MEGAS, Warszawa 2007, http://www.nauka-a-religia.uz.zgora.pl/index.php/seria-ksiazkowa/15-przedruki/331-pr-art-6

PROGRAM PREPARATION:Dr hab. Krzysztof J. Kilian, prof. UZ

36

http://www.nauka-a-religia.uz.zgora.pl/index.php/seria-ksiazkowa/15-przedruki/331-pr-art-6

http://www.nauka-a-religia.uz.zgora.pl/index.php/seria-ksiazkowa/15-przedruki/331-pr-art-6

https://ostojafilozoficzna.files.wordpress.com/2010/05/filozofia-przyrody-a-nauki-przyrodnicze.pdf



QQ UANTUM PHYSICS IUANTUM PHYSICS I

Course code: 13.2-WF-FizD-Fkwa1





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7Lecture 30 2

II Exam

Cla s s 45 3 Grade

COURSE AIM:To teach the student advanced methods of quantum mechanics. To teach approximation methods and givefoundations for relativisitc quantum mechanics.

ENTRY REQUIREMENTSKnowledge of first course of quantum mechanics

COURSE CONTENTS:- Postulates of quantum mechanics – recollection.- Approximate methods:

- Perturbation theory (time independent). Non-degenerate case. Interpretation of Stern-Gerlach effect and Zeeman effect. Degenerate case. Stark effect.- Variational principle and variational method. Many-body problem of interacting particles. Mean field approach,self-consistent method.

- Symmetries and conservation laws:- Unitary transforamations. General formulation. - Translations and conservation of momentum.- Rotations and conservation of angular momentum.- Translations in time and conservation of energy.- Space inversion and parity conservation.

- Second quantization, occupation number representation. Creation and anihilation operators for fermions.- Occupation number representation. Creation and anihilation operators for bosons.- Elements of relativistic quantum mechanics:

- Klein-Gordon equation.- Dirac equation.- Free electron motion in Dirac theory. Negative energy states.- Magnetic moment of electron.- Spin.- Hydrogen atom in Dirac theory.

- Universal properties of wave packet dynamics in bounded systems.- Fermi and Bose statistics.

TEACHING METHODS:

37

Lectures on problems and discussions. Oral practice, in which students solve tasks.





Student derives conclusions from particular postulates of quantum mechanics.

K2A_W02 Disscussion, tests, exam Class

Applies several approximate methods. K2A_W02 Disscussion, tests, exam Class

Is familiar with different representations of physical operator.


Student is able to link symmetries of the quantum system with particular conservation laws.

K2A_U06 Disscussion, tests, exam Class

Is aware of relativistic effects (like spin offermions) present in quantum systems.


ASSESSMENT CRITERIA:LECTURE: A course credit for the lectures is obtained by taking a final exam composed of tasks ofvarying degrees of difficulty.

CLASS: During the classes the preparation of the students will be checked as well as theirunderstanding of the lecture content at the time of the lectures.

To obtain a course credit for the exercises 50% of the maximum number of points will be required,which can be achieved through two cumulative tests. A student who achieves at least 10% of themaximum points and who does not exceed the class absence limit has the right to a resit test of theentire material before the examination date. The result of the exam is also affected by classparticipation and preparation for the class.

Entrance to the exam requires prior accreditation of the course exercises.

STUDENT WORKLOAD:Contact hours:

- Lectures: 30 hours

- Exercises: 45 hours

- Consultation: 5 hours

- Exam; 2 hours

Total: 82 hours, 3,7 ECTS.

Individual workload of student:

- Preparation for lectures and exam: 30 hours

- Preparation for exercises and tests: 45 hours


RECOMMENDED READING:[1] P. Rozmej, Lecture Notes, pdf file, delivered to students.

[2] St. Szpikowski, Elementy mechaniki kwantowej, Wyd. UMCS, 1999.

OPTIONAL READING:[1] I. Białynicki-Birula, M. Cieplak, J. Kamiński, Theory of quanta, PWN, Warszawa 2001.

[2] A. L. Schiff, Quantum mechanics, PWN, Warszawa 1987.

PROGRAM PREPARATION:Prof. dr hab. Piotr Rozmej

38

INTRODUCTION TO ATOMIC AND MOLECULARINTRODUCTION TO ATOMIC AND MOLECULARP H Y S I C SP H Y S I C S

Course code: 13.2-WF-FizD-WdFAC





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6Lecture 30 2II

Exam

Cla s s 30 2 Grade

COURSE AIM:The aim of the course is to teach the students methods and applications of quantum mechanics indescription of matter-matter interactions; at the scale of one or a few atoms and energy scalesaround several electron volts. In particular we present the approximated methods, method of selfconsistent field and variational methods in atomic physics.

ENTRY REQUIREMENTS:Quantum mechanics and Classical electrodynamics courses.

COURSE CONTENTS:LECTURE: One-electron atoms. Eigenvalues, quantum numbers, degeneracy, Zeeman effect, spin.The orbit-spin interaction. Identical particles, Pauli rule Multielectron atoms. Hartree-Fock theory,the self consistent field. The periodic table. Optical excitations, atomic spectra. Molecules, Born-Oppenheimer theory, LCAO MO theory. Molecular spectra, rotation, vibration-rotation and electronspectra. Raman effect.

CLASS: A hydrogen atom, quantum numbers, atom orbitals, spin. Multielectron atoms, the periodictable. The orbit-spin interaction, atomic spectra. Molecules spectra.

TEACHING METHODS:Conventional lectures, calculate class.





Skill of theoretical interpretation of experimental facts

K2A_W03 Exam, controlling duringcalculate class

class

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http://en.wikipedia.org/wiki/Electron_volt

http://en.wikipedia.org/wiki/Atom

Application of mathematical methods in solving physical problems

K2A_W02 Exam, controlling duringcalculate class

class

The basic aim of the course is a presentation of approximated methods in description od atoms andmolecules. The course is devoted to increasing the students working knowledge of physicsprinciples and problem solving skills.

ASSESSMENT CRITERIA:LECTURE: The exam

CLASS: Credits of exercises


- Participation in the exercises: 30 hours

- Participation in the examination: 2 hours





Effort associated with activities that require direct participation of teachers: 72 hours, 3.3 ECTS.

RECOMMENDED READING:[1] W. Kołos, J. Sadlej, Atom i cząsteczka, WNT, Warszawa 2007.

[2] J. Ginter, Wstęp do fizyki atomu, cząsteczki i ciała stałego, PWN, Warszawa 1986.

[3] I. Białynicki-Birula, M. Cieplak, J. Kamiński, Teoria kwantów, PWN, Warszawa 1991.

[4] W. Kołos, Chemia kwantowa, PWN, Warszawa 1980.

[5] L. Schiff, Mechanika kwantowa, PWN, Warszawa 1977.

OPTIONAL READING: -

PROGRAM PREPARATION:Dr hab. Anatol Nowicki, prof. UZ

40

APPLICATIONS OF COMPUTER SIAPPLICATIONS OF COMPUTER SI M U L AT I O N SM U L AT I O N S

Course code: 11.3-WF-FizD-SKwZa





Form ofinstruct ion

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6Lecture 30 2

II

(FK)

Exam


COURSE AIM:The aim of the course is to gain a knowledge of computer simulation methods, their applications,strong and weak sides. Students should acquire skills in implementation of this knowledge bydesigning the proper algorithms and then interpreting the results of computer simulations.

ENTRY REQUIREMENTS:Object oriented programming in Java or Python or C++, introduction to computer simulations,basics of MD and MC algorithms and techniques.

COURSE CONTENTS:- Random walk – lattice and off-lattice, lattice gas model

- Percolation

- MC simulations of spin system with interactions

- Queue systems

- Computer simulations of polymers

- Basics of Molecular Dynamic – revision

- System with two atom interactions

- Molecular mechanics and force field

- NVE, NPT, NVT ensemble – MD simulations

TEACHING METHODS:Lectures and laboratory exercises, discussions, independent work with a specialized scientificliterature in Polish and English, and work with the technical documentation and search forinformation on the Internet.


41




Students expand their ability to acquire knowledge in different ways using a varietyof sources.

K2A_U10 activity during laboratories, project, discussion, exam

laboratory,lecture

They have practical knowledge on modeling using pseudo-random number generator and deterministic methods.

K2A_W02 activity during laboratories, project, discussion, exam

laboratory,lecture

Students have an extended knowledge of classical physics of interacting systems. They know numerical error analysis, numerical methods of solvingdifferential equations, they can use molecular dynamics methods, methods of Monte Carlo.

K2A_W01 K2A_W05

activity during laboratories, project, discussion, exam

laboratory,lecture

They have skills in data analysis, they posses knowledge which is acquired during studies of the scientific literature.

K2A_U05 K2A_U03 K2A_U10


laboratory,lecture

Characteristic feature is the expanding awareness of the need to update the technical knowledge on the available techniques and simulation resultss well as awareness ofthe impact of research on thedevelopment of computer technology, including in particular nanotechnology.

K2A_K01 K2A_K05


laboratory,lecture

ASSESSMENT CRITERIA:- Lecture: positive evaluation of the practical exam.

- Laboratory: evaluation of laboratories of 30%, the assessment of the project 70%.

- Before taking the examination the student needs to obtain passing grade in the laboratory exercises.

- The final grade: the arithmetic average of the examination grade and laboratory exercises grade.

STUDENT WORKLOAD:- Participation in lectures: 30 hours

- Participation in exercises: 30 hours

- Preparation for the exercises: 20 hours

- Project preparation: 20 hours

- Consulting for the lectures and exercises: 10 hours

- Preparation for the completion of the lecture: 15 hours

- Exam: 2 hours


Contact hours: 72 hours, 3,4 ECTS.

RECOMMENDED READING:[1] D. Frenkel, B. Smit, Understanding Molecular Simulation. From Algorithms to Applications,

Academic Press 2002.

[2] M. P. Allen, D. J. Tildesley, Computer Simulation of Liquids, Oxford University Press 1990.

[3] D. P. Landau, K. Binder, A guide to Monte Carlo Simulations in Statistical Physics, Cambridge

42

University Press, 2005.

[4] K. Binder, D. W. Heerman, Monte Carlo Smulation in Statistical Physics, Springer 2010. (5th

ed).

OPTIONAL READING: -

PROGRAM PREPARATION:Dr Marcin Kośmider

43

U N I X O S P R O G R A M M I N GU N I X O S P R O G R A M M I N G

Course code: 11.3-WF-FizD-UNIX



Director of studies:The academic teacher directing the laboratory exercises


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3Laboratory 30 2

II

(FK)Grade

COURSE AIM:To teach students how to *UNIX operating systems and how to write scripts in Python

ENTRY REQUIREMENTS:Basics of *UNIX and basics of programming

COURSE CONTENTS:- Working with system shell

- Using tools like find, grep, awk, etc.

- Writing scripts in Python

- Functions, conditionals, loops

- Input/output

TEACHING METHODS:Computer lab, discussions, individual students readings of technical documentation.



EFFECTSVERIFICATION


Ability to use *UNIX operating systems.

K2A_W05 K2A_U05 K2A_U06

Working with computer, oral answer, written answer, current control

laboratory

Programming with GNU tools and other open-source tools.

K2A_U05 K2A_U06

Working with computer, oral answer, written answer, current control

laboratory

Programming in Python and using it K2A_U05 Working with computer, laboratory

44

for scientific work. K2A_U06 oral answer, written answer, current control

ASSESSMENT CRITERIA:Presence on classes, activity, answering questions asked during classes, writing programs.

STUDENT WORKLOAD:- Laboratory: 30 h

- Laboratory preparation: 20 h

- Individual projects workload: 20 h


Total: 75 h, 3 ETCS.

The workload requiring the participation of the teacher: 35 h, 1.5 ECTS.

RECOMMENDED READING:[1] Peteresn Arbenz, Introduction to Parallel Computing, Oxford University Press, 2004.

[2] Intel(R) 64 and IA-32 Architectures Optimization Reference Manual (http://developer.intel.com/assets/pdf/manual/248966.pdf

OPTIONAL READING:[1] Papers on MPI applications: http://www.open-mpi.org/papers/

[2] GNU Emacs Manual (http://www.gnu.org/software/emacs/manual/emacs.pdf)

PROGRAM PREPARATION:Dr Senastian Żurek

45

http://www.open-mpi.org/papers/

http://developer.intel.com/assets/pdf/manual/248966.pdf

SYMBOLIC PROGRAMMING IN PHYSICALSYMBOLIC PROGRAMMING IN PHYSICALPROCESSES S IMULATIONSPROCESSES S IMULATIONS

Course code: 11.3-WF-FizD-PSSPF





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Number ofECTS credits

a l l o c a t e d


3Laboratory 30 2

II

(FK)Grade

COURSE AIM:Students can use a Computer Algebra Systems (Mathematica, Sage, Maxima as examples) insymbolic problem solving in physics and verification of analytical calculations.

ENTRY REQUIREMENTS:Knowledge of calculus and linear algebra and the basis of classical mechanics, classicalelectrodynamics and quantum mechanics. Programming in C or Fortran.

COURSE CONTENTS:1) Introduction to computer algebra (wxMaxima, Mathematica):

- Sessions, evaluation of expressions, environment variables,- Differentiation and integration,- Systems of linear equations,- 2D and 3D plots and data visualization,- Differential equations.

2) Classical Mechanics:- Harmonic oscillator,- Coupled harmonic oscillators,- Two-body problem.

3) Electrodynamics:- Discrete distribution of charges,- Poisson equation,- Charged particle in an electromagnetic field.

4) Quantum Mechanics:- Potential barrier,- Potential well,- Harmonic oscillator,- Hydrogen atom.

46

TEACHING METHODS:Laboratory classes in the computer lab. Working in groups. Joint solving of more complex or laborious examples.





Student can present a problem in terms of the physical laws and principles to propose its mathematical model.

K2A_W02

K2A_U03

completion of all exercises laboratoryclasses in thecomputer lab

Student can use the CAS system to analyze the experimental data and for graphical representations of data; is ableto analyze the results, present and discuss conclusions.

K2A_W05

K2A_U03

K2A_U04

K2A_U05

Student can use symbolic and numerical calculations in the CAS to solve physical problems; is able to analyze the obtainedsolution and perform its verification by comparison with known analytical solution (if it exists).

K2A_W02

K2A_W05

K2A_U04

K2A_U06

ASSESSMENT CRITERIA:The condition of positive assessment is the accomplishment of all programming exercises.

Final assessment: the weighted average of the final test (50%) and programming exercises (50%).

STUDENT WORKLOAD:- Laboratory classes: 30 h

- Self-learning on homework tasks: 30 h



Workload directly involving teacher: 35 h, 1.62 ECTS.

RECOMMENDED READING:[1] L. D. Landau, E. M. Lifszyc, Mechanics, Vol. 1, (3rd ed.), Butterworth–Heinemann 1976.

[2] D. J. Griffiths, Introduction to Electrodynamics, (3rd ed.), Addison Wesley 1999.

[3] L. Piela, Ideas of Quantum Chemistry, (1st ed.), Elsevier 2006.

[4] S. Wolfram, The mathematica book, 5-th ed., Wolfram Media 2003.

[5] http://maxima.sourceforge.net/docs/tutorial/en/gaertner-tutorial-revision/Contents.htm

OPTIONAL READING: -

PROGRAM PREPARATION:

Dr Tomasz Masłowski

47

http://maxima.sourceforge.net/docs/tutorial/en/gaertner-tutorial-revision/Contents.htm

SCRIPT ING LANGUSCRIPT ING LANGU AGES IN DATA ANALYSISAGES IN DATA ANALYSIS

Course code: 11.3-WF-FizD-JSwAD





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3Laboratory 30 2

II

(FK)Grade

COURSE AIM:The primary language is the Python programming language and by using it students should acquire the ability to analyze data on examples of specific tasks. Students should familiarize themselves with the available Python libraries, data analysis methods and they should be able to use them in practical tasks.

ENTRY REQUIREMENTS:It is assumed elementary programming skills in any programming language, and knowledge of basic mathematical methods of data analysis.

COURSE CONTENTS:- Introduction to programming in Python.

- Python libraries: NumPy, pandas, matplotlib, SciPy.

- Basics of NumPy (data processing using arrays, mathematical and statistical methods, read and write data to disk in binary or text).

- Basics of Matplotlib: data plots, visualization.

- Time series (methods of analysis).

TEACHING METHODS:Laboratory exercises, individual work and group work, exchange of ideas, work with documentation, self-knowledge acquisition, project.



EFFECTSVERIFICATION


Student knows the information technology used to solve common problems in the field of physical sciences and understands their limitations.

K2A_W05 Working with computer, oral answer, written answer, current control

laboratory

Student understands the complexity ofthe issues relating to access to the

K2A_U03 Working with computer, oral answer, written

laboratory

48

data, the appropriate analysis of data and data storage. Based on empirical data, student can build simple mathematical models adequate to physical problems.

answer, current control

Student is able to work effectively in a group assuming different roles according to the situation.

K2A_K03 Working with computer, oral answer, written answer, current control

laboratory

ASSESSMENT CRITERIA:Score: average grades achieved during the activity and short tests advances in science (50% of thefinal mark) and the assessment of the semester project (50% of the final mark). To pass thesemester project is its preparation and commitment within the prescribed period of the projectreport as well as its presentation.

STUDENT WORKLOAD:- Participation in laboratory: 30 h

- Preparation for the laboratory: 20 h


- Consulting: 5 h


Contact hours: 35 h, 1,5 ECTS.

RECOMMENDED READING:[1] Allen Downey, Think Python. How to Think Like a Computer Scientist, 2013. Green Tea Press,

Needham, Massachusetts.

[2] Wes McKinney, Python for Data Analysis, O'Reilly Media Inc. (2013)

OPTIONAL READING:[1] Internet

PROGRAM PREPARATION:Dr Krzysztof Krzeszowski

COMPUTER S IMULATIONSCOMPUTER S IMULATIONS

49

Course code:13.2-WF-FizD-FŚ-SyKom

13.2-WF-FizD-FT-SyKom





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7Lecture 30 2 II

(FT,FŚ)

Exam


COURSE AIM:The aim of the course is to gain basic knowledge of computer simulation methods and the ability to choose the appropriate simulation model to the considered problem. Students should acquire skills in implementation of this knowledge by designing the proper algorithms and then interpreting the results of computer simulations.

ENTRY REQUIREMENTS:

Ability to use some programming language.

COURSE CONTENTS:- Representation of numbers, excess and underflow errors, truncation error (finite difference method), the stability of numerical algorithms.- Algorithms for solving the equations of motion: Euler, Verlet, velocity Verlet, numerical solution of the harmonic oscillator.- Monte Carlo algorithms (random number generators, random variables with different probability distributions, Metropolis algorithm, stochastic equations).- Selected examples of applications (simulation of phase transitions, relaxation of the electric dipole)




EFFECTSVERIFICATION


Students expand their ability to acquire K2A_U10 discussion exercise

50

knowledge in different ways using a variety of sources.They have practical knowledge on modeling using pseudo-random number generator and deterministic methods.

K2A_W02K2A_W02

test

exam

exercise

lecture

Students have an extended knowledge of classical physics of interacting systems.

K2A_W01 discussion exercise

Students know numerical error analysis, numerical methods of solving differential equations, they can use molecular dynamics methods, methods of Monte Carlo.

K2A_W05 discussion

test

exam

exercise

exercise

lecture

They have skills in data analysis, they posses knowledge which is acquired during studies of the scientific literature.


discussion

test

exam

exercise

exercise

lecture

Characteristic feature is the expanding awareness of the need to update the technical knowledge on the available techniques and simulation results as wellas awareness of the impact of research on the development of computer technology, including in particular nanotechnology.

K2A_K01K2A_K05

discussion

test

exam

exercise

exercise

lecture

ASSESSMENT CRITERIA:Lecture: positive evaluation of the test.Laboratory: positive evaluation of the tests, the execution of the project.The final evaluation of the laboratory: evaluation of tests of 60%, the assessment of the project 40%.Before taking the exam the student must be credited with the exercises.Final grade: arithmetic mean of the completion of the lecture and in excersises.





- Consulting for the lecturees and exercises: 10 hours


- Exam: 2 hours

TOTAL: 137 hours, 7 ECTS

Contact hours: 72 hours, 3.68 ECTS.

RECOMMENDED READING:[1] J. C. Berendsen and W. F. Van Gunsteren, Practical Algorithms for Dynamic Simulations inMolecular dynamics simulations of statistical mechanical systems, Proceedings of the Enrico FermiSummer School, p. 43 - 45, Soc. Italinana de Fisica, Bologna 1985.

[2] Stephen Wolfram, Statistical mechanics of cellular automata, Rev. Mod. Phys. 55, 601 - 644(1983).

OPTIONAL READING:[1] William H. Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery, Numerical recipes, The artof scientific computing, third edition 2007.

PROGRAM PREPARATION:Dr hab. Mirosław Dudek, prof. UZ

COMPUTATIONAL METHODS IN ENVIRONMENTALCOMPUTATIONAL METHODS IN ENVIRONMENTALP H Y S I C SP H Y S I C S

51

Course code: 13.2-WF-FizD-MOwFŚ



Director of studies:The academic teacher directing the classes


Form ofinstruct ion

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3Cla s s 30 2

II

(FŚ)Grade

COURSE AIM:Students can apply the appropriate laws of physics to describe the environmental issues, can usespreadsheets for presentations and analysis of empirical data, have the ability to interpolate andextrapolate the empirical data.

ENTRY REQUIREMENTS:Knowledge of linear algebra and mathematical analysis, basic knowledge of MS Office orOpenOffice, the ability to program in C or another language. Fundamentals of Physics.

COURSE CONTENTS:The methods of presenting of measurement data, typical dependences used to represent physicallaws (linear, quadratic, inverse proportionality, inverse quadratic, exponential, periodic).

Spreadsheet (eg. MS Excel) as a tool for mathematical calculations.

Using the defined functions and creation of own ones. Generation of charts and histograms.

Interpolation and extrapolation of data. The use of a polynomial interpolation to calculate thetemperature dependance of the surface tention of water. The use of Richardson's extrapolation todetermine the coefficient of viscosity of the water, comparing the received values with the tabledata.

Threats to the environment – the model of a failure and the probability of its occurrence,Rasmussen's method for genealogy of accident. Discussion of the frequency of accidents on theexample of nuclear reactor accidents, fires and earthquakes.

The laws of physics in the environment on the example of water flow in the soil. The water flowunder the influence of gradient of capillary and hydrostatic pressures (Poiseuille and Darcy's law).

Conservation laws and equations of fluid dynamics (Bernoulli's principle, Navier-Stokes equation),dimensional analysis and the similarity numbers (Strouhal, Euler, Freude'a, Reynolds andRichardson numbers).

52

The proliferations of contamination. Diffusion equation, advection. The spread of gaseous pollutantsin the atmosphere.

TEACHING METHODS:Laboratory exercises in the computer lab. Working in groups, common solving of more complexexamples.





Student is able to explain the flow of water based on Poiseuille and Darcy's laws, understanding their approximate character and understands the importance of that description to the society.

K2A_W01

K2A_W02

K2A_U01

K2A_K02

tests classes, laboratoryexercises in the

computer lab

Student knows what is dimensional analysis and the similarity numbers.

K2A_W02

K2A_U07

Student is able to define and describe theoretically the risk to the environment as a result of possible human factors andthe effects of natural elements using the method of Rasmussen.

K2A_W02

K2A_W05

K2A_U03

Student understands the effects of natural disasters, accidents and environmental factors.

K2A_K05

Student is able with the aid of the spreadsheet to interpret data and using methods of interpolation and extrapolation provide additional results.

K2A_U04

K2A_U05

Student after the preparation of the final project is able to assess the degree of his or her knowledge and complete it using the available literature and the internet.

K2A_U09

K2A_U10

ASSESSMENT CRITERIA:Classes: passing two tests, and performing the final project.

Final evaluation of laboratory exercises: arithmetic mean of the tests and the project.

STUDENT WORKLOAD:- Participation in the exercises: 30 hours.

- Preparing for exercises: 20 hours.

- Preparation of the final project: 10 hours.

- Consultation: 5 hours.


Workload directly involving teacher: 35 hours, 1.61 ECTS.

RECOMMENDED READING:[1] Maria Przybylska, Fizyka środowiska – zanieczyszczenie środowiska naturalnego, skrypt, Zielona Góra 2012.

[2] Henryk Szydłowski, Pracownia fizyczna, Wydawnictwo Naukowe PWN, Warszawa 1994.

[3] Wojciech Szymański, Elementy nauki o promieniowaniu jądrowym dla kierunków ochrony środowiska, Wydawnictwo Uniwersytetu M. Kopernika, Toruń 1999.

[4] Stanisław Przestalski, Elementy fizyki, biofizyki i agrofizyki, Wydawnictwo Uniwersytetu Wrocławskiego, Wrocław 2001.

53

[5] Jerzy Lech Kacperski, I Pracownia fizyczna, Wydawnictwo Uniwersytetu Łódzkiego, Łódź 1998.

[6] David M. Bourg, Excel w nauce i technice - Receptury, Helion, Gliwice 2006.

[7] Zbigniew Smogur, Excel w zastosowaniach inżynieryjnych, Helion, Gliwice 2008.

OPTIONAL READING:[1] Maciej Matyka, Symulacje komputerowe w fizyce, Helion, Gliwice 2002.

[2] Edward Mulas, Przykłady symulacji komputerowej w fizyce, Oficyna Wydawnicza Politechniki Warszawskiej, Warszawa 2006.

PROGRAM PREPARATION:Dr Tomasz Masłowski

E N V I R O N M E N TA L C H E M I S T RYE N V I R O N M E N TA L C H E M I S T RY

54

Course code: 13.3-WF-FizD-CheŚr



Director of studies: dr hab. Jacek J. Kozioł, prof. UZ

Name of lecturer:dr hab. Jacek J. Kozioł, prof. UZ

mgr Bartłomiej Zapotoczny

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5Lecture 30 2

IIExam


COURSE AIM:Transfer of knowledge on the structure of matter with a particular focus the elements andcompounds, and their role in nature, including in living organisms.

ENTRY REQUIREMENTS:Knowledge of chemistry at the high school level.

COURSE CONTENTS:Lecture: Basic concepts and laws of chemistry. The periodic table of elements. Structure of themolecules. Chemical bonding. The polarity of the molecules. Acids, bases, salts, amphotericcompounds. Properties of solutions: strong and weak electrolytes, electrolytic dissociation in thewater and the concept of pH, hydrolysis of salts. Buffer solutions. Solubility. Types of chemicalreactions. Elements of Organic Chemistry: basic types of organic methods for their preparation andtheir physical and chemical properties.Exercises: Solutions: preparing standard solutions, precipitation, purification by dissolving thesubstance, crystallization, extraction. Properties of actual and colloidal solutions and appropriate:synthesis, degradation. Types of chemical compounds: methods of preparation, properties.Properties of electrolyte solutions. pH indicators. Redox reactions. Selected methods of quantitativeanalysis.

TEACHING METHODS:By providing (lecture in the form of a multimedia presentation)

- practical (lab exercises using basic chemical laboratory equipment).



OF EFFECTSVERIFICATION METHODS

FORM OFCLASSES

55

Has extensive knowledge of chemistry, including its historical development, bothin terms of methodology, the research and the relevance of chemistry to the progress of science, knowledge of the world and of human development.

K2A_W01

Final examination for whichthe student is allowed under

the prior credit exercises,carried out in writing. The

exam lasts 60 minutescontains 5 issues requiring

discussion

Lecture

He knows the experimental and observational techniques along with theirlimitations.

K2A_W03

Able to plan and carry out basic experiments or observations on the physico-chemical aspects.

K2A_U02

Able to critically assess the results of experiments, observations and theoretical considerations, including those discussed measurement errors.

K2A_U04

Can understand the problems of knowledge areas common to physics and science related to it as chemistry or biology.

K2A_U07

Understands the need for learning throughout life, can inspire and organize the learning process of others people.

K2A_K01

Able to work effectively in a group, assuming different roles according to thesituation.

K2A_K03

Knows the experimental and observational techniques and their limitations.

K2A_W03

Present the results ofexperiments in the form of areport appearing in the daily

laboratory. Verification ofknowledge in writing - test.

Laboratoryexercises

Knows the rules and safety sufficiently towork independently in the profession of physics.

K2A_W07

Able to plan and carry out basic experiments or observations on the physico-chemical issues.

K2A_U02

Able to critically evaluate the results of experiments, observations and theoretical considerations, including the measurement errors discussed.

K2A_U04

Can understand the problems of knowledge areas common to physics and science related to it such as chemistry or biology.

K2A_U07

ASSESSMENT CRITERIA:Lecture. Final examination for which the student is allowed under the prior credit exercises, carriedout in writing. The exam lasts 60 minutes contains 5 issues requiring discussion. To pass theassessment, it is necessary to obtain sufficient 60 points (60%) of 100 points possible to get.

Exercise. Implementation of the program exercises course (attendance is mandatory in cases ofabsence, the student should fill the gaps in the time agreed with the teacher). Present the results ofexperiments in the form of a report appearing in the daily laboratory. Verification of knowledge inwriting - test. Final evaluation is the arithmetic mean of the partial.

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 2 hrs. = 30 hours

- Participation in the exercises: 15 weeks x 1 hour = 15 hours

- Participation in consultations: 4 hours

- To prepare for the written test: 25 hours

- Participation in the exam: 2 hours

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- Preparation for laboratory classes: 9 hours

- Keeping a journal lab: 6 hours

- Individual preparation for the written tests: 10 hours


RECOMMENDED READING:[1] P. A. Cox, Chemia nieorganiczna, Wydawnictwo Naukowe PWN, Warszawa 2004.

[2] L. Jones, P. Atkins, Chemia ogólna, Wydawnictwo Naukowe PWN, Warszawa 2004.

[3] G. Patrick, Chemia organiczna, Wydawnictwo Naukowe PWN, Warszawa 2004.

[4] A. G. Whittaker, A. R. Mount, M. R. Heal, Chemia fizyczna, Wydawnictwo Naukowe PWN,

Warszawa 2004.

OPTIONAL READING:[1] A. Bielański, Chemia ogólna i nieorganiczna, Wyd. 8, PWN, Warszawa 1982.

[2] W. Kołos, J. Sadlej, Atom i cząsteczka, WNT, Warszawa 1998.

PROGRAM PREPARATION:Dr hab. Jacek J. Kozioł, prof. UZ

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PACKAGES FOR SYMBOLIC COMPUTATIONSPACKAGES FOR SYMBOLIC COMPUTATIONS

Course code: 11.3-WF-FizD-PdObS





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3Laboratory 30 2

II

(FT)Grade

COURSE AIM:Student's abillity to use Packages for Symbolic Computations and as a support in solving problemsin Physics and Mathematics and for Data Visualization.

ENTRY REQUIREMENTS:Knowledge of Linear Algebra and Mathematical Analysis (Ordinary and Partial DifferantialEquations). Programming Skills in C or other language.

COURSE CONTENTS:Functions and Structures in “Mathematica”.

Numerical Calculations, Variables and Formatting (N, Round, Random).

Logical Variables and Operators.

Lists, Vectors and Matrices. (Range, List, Table, Array, Length).

Operations on Strings (Union, Join, StringJoin).

Algebraic Manipulation (Cancel, Together, Apart, Expand, Factor, Collect, Simplify).

Differentiation and Integration (D, Integrate, Nintegrate).

Solving of Algebraic and Differential Equations (Solve, FindRoot, DSolve).

Generating of Two- and Three-Dimensional Graphics (Plot, Plot3D, ListPlot).

Visualization and Data Manipulation (Fit, Histogram).

Special Functions.

The Use of Packages.

Other programms for symbolic computation (Maple, Maxima).

TEACHING METHODS:Laboratory classes. Working in groups, joint solving of more complicated or laborious examples.

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Student knows necessary Mathematica'sfunctions (operations on matrices, on text variables, algebraical operations, solving of algebraical and differential equations, symbolical and numerical integration, etc.) which helps in solving and visualization of certain problems in Classical Mechanics, Classical Electrodynamics and Quantum Mechanics; knows Mathematica's formats .nb, .m i .mx.

K2A_W05 Accomplishment ofprogramming exercises

laboratoryclasses

Student can analyze empirical data using Mathematica's functions (Fit, Histogram, BarChart); can make use of graphical functions and their options to emphasize desired informations on a plot(PlotStyle, Mash, Filling); can solve basicdifferential equations of Classical Electrodynamics and Quantum Mechanics and present them graphically.

K2A_U03

Student can make use of built-in as well as external Mathematica's packages (.m format) to solve simple problems in Physics; can create their own packages.

K2A_U06






Workload directly involving teacher: 32 hours, 1.55 ECTS.

RECOMMENDED READING:[1] S. Wolfram, The mathematica book, 5-th ed., Wolfram Media 2003.

[2] E. Don, Mathematica, McGraw-Hill, 2001.

[3] R. Grzymkowski, A. Kapusta, D. Słota, Mathematica narzędzie inżyniera, Wyd. Pracowni

Komputerowej J. Skalmierskiego, Gliwice 1994.

OPTIONAL READING: -

PROGRAM PREPARATION:Dr Tomasz Masłowski

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STATIST ICAL PHYSICSSTATIST ICAL PHYSICS

Course code: 13.2-WF-FizD-FiSta





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5Lecture 15 1

II

(FT)

Exam

Cla s s 30 2 Grade

COURSE AIM:The aim of the course is to present the methods of modern statistical physics in ergodic theory, critical phenomena, nonlinear chemical physics, physics of quantum systems, transport theory.

ENTRY REQUIREMENTS:It is assumed knowledge of thermodynamics, general physics and mathematical methods.

COURSE CONTENTS:5) Equilibrium statistical mechanics

- Methods of thermodynamics (the method of thermodynamic potentials, equation of state)

- Ergodic theory

- Statistical ensembles (microcanonical ensemble, the canonical ensemble, grand canonical ensemble)

- Theory of solid state (classical theory of solids, Einstein theory of solids, Debye theory of solids)

- Ideal gas (classical and quantum gases, Maxwell-Boltzmann gas, Bose-Einstein gas, Fermi-Dirac gas)

- Order-disorder phase transitions (van der Waals equation, Ising model, Lee-Yang theory of phase transitions)

- Critical phenomena (scaling, critical exponents, renormalisation group transform)

6) Transport theory (kinetic theory, Boltzmann equation)

7) Fluctuation-dissipation theorem

Exercises to the lecture concern specific topics, increase calculation skills. Emphasized are the equation of state, the equilibrium statistical mechanics soluble models, classical and quantum fluids.

60

TEACHING METHODS:In addition to traditional lectures multimedia resources are used, the internet etc. In exercisesstudents gain skills while calculating thermodynamic features of the physical systems, theyparticipate in the discussion.



EFFECTSVERIFICATION


Students are familiar with the basic statistical models that can be used todescribe the phenomena of equilibrium and non-equilibrium physics. They are able to distinguishbetween classical and quantum description. They can explain physical phenomena.

K2A_W01 K2A_W04

test

discussion

exam

exercise

excersise

lecture

They can present the basic theoremsand physical laws with their justification.

K2A_U01 test

discussion

exam

exercise

excersise

lecture

They have skills in application of the statistical physics in the overlapping fields of science at he same time fulfilling social requirements.

K2A_U07 K2A_K05

test

discussion

exam

exercise

excersise

lecture

ASSESSMENT CRITERIA:The lecture ends with the completion of the evaluation. Examination is a written test of theoreticalknowledge and practical computational skills. Exercise assessments are made for partial tasks, thefinal evaluation is a written test and assessment of calculation skills using methods of statisticalphysics.







Contact hours: 50 hours, 2.5 ECTS

RECOMMENDED READING:[1] L. E. Reichl, A Modern Course in Statistical Physics, E. Arnold (Publishers) LTD, University of Texas Press 1980.

[2] J. J. Binney, N. J. Dowrick, A. J. Fisher, and M. E. J. Newman, The Theory of Critical Phenomena. An Introduction to the Renormalization Group, Clarendon Press, Oxford 1992.

OPTIONAL READING:[1] F. Reif, Fundamentals of Statistical and Thermal Physics, Mc Graw-Hill, Singapore 1985.

[2] K. Huang, Introduction to Statistical Physics, CRC Press 2001.


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A S T R O P H Y S I C S I IA S T R O P H Y S I C S I I

Course code: 13.7-WF-FizD-Astr2





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6Lecture 30 2II

(AK)

Exam

Cla s s 30 2 Grade

COURSE AIM:An extension of the knowledge about stellar astrophysics, stellar evolution and binary stars evolution, and thefinal stages of the stellar evolution.

ENTRY REQUIREMENTS:Basic knowledge in the field of astrophysics, namely the structure and evolution of stars. Basic knowledge ofcelestial mechanics.

COURSE CONTENTS:- Final stages of stellar evolution.

- The basics of degenerated matter physics.

- Basic ideas of the General Relativity theory.

- White dwarves, neutron stars and black holes.

- Binary and multiple stars.

- Roche surfaces and Lagrange points.

- The types of binary systems: detached, semi-detached and contact.

- The evolution of close binary systems. Cataclysmic variables and X-ray binaries. \

- Astrophysics of the star clusters.

- Interstellar medium

TEACHING METHODS:Classic lecture. Computational exercises during class plus a project method – an extended study ofa selected topic from the lecture area of interest.


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Student has extended knowledge of the final stages of stellar evolution: white dwarves, neutron stars and black holes. He is able to explain how these objects properties are the outcome of the previous evolution. He can explain the observational properties of these objects based on their physical parameters. Student understands the differences between the solitary star evolution and the evolution in a binary system, and is able to explain them. He can describe the mechanics of a binary system, and its influence on the stellar evolution. He can explain how the mass transfer can affect the evolution of the stars in a binary. He can name and describe the standard types of binaries. Based on the current parameters of a binary star he can describe its earlier and future evolution. Student can characterize the types of stellar clusters, and describe their origin and evolution. He can Describe the basic components of the interstellar medium.

K2A_W01K2A_W03

Oral exam lecture

Using the acquired theoretical knowledge student can solve simple analytical problems concerning binary star and star cluster astrophysics. He can independently study a chosen topic from the field of stellar evolution or binary star astrophysics, using the available literature. He is able to present the results of his research in a written form.

K2A_U01

K2A_U03K2A_U05K2A_U07K2A_U11K2A_U12K2A_U13K2A_K01

K2A_K03

Written test, project grade class

ASSESSMENT CRITERIA:Final grade: weighted average of the exam grade (70%) and the class grade (30%).

Lecture: Oral exam passing condition – positive grade.

Class: written test – solving computational exercises (passing condition – positive grade), and apositive grade from the written research report.

STUDENT WORKLOAD:- Participation in lectures: 15 x 2 = 30 h

- Participation in classes: 15 x 2 = 30 h

- Preparation for classes: 20 h

- Homework: 15 x 1 = 15 h

- Working on a research project: 20 h


- Exam preparations: 10 h


TOTAL: 137 h, 6 ECTS.

Workload involving direct teacher participation: 72 h corresponding to 3.15 ECTS.

RECOMMENDED READING:[1] F. Shu, Galaktyki, gwiazdy, życie, Prószyński i S_ka, 2003.

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[2] M. Kubiak, Gwiazdy i materia międzygwiazdowa, PWN, 1994.

OPTIONAL READING:[1] J. Mullaney, Double & Multiple Stars, and how to observe them, Springer 2005.

[2] R. Kippenhann, A. Weigert, Stellar structure and evolution, Springer 1996.

PROGRAM PREPARATION:Dr Wojciech Lewandowski

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EXTRAGALACTIC ASTRONOMY AND COSMOLOGYEXTRAGALACTIC ASTRONOMY AND COSMOLOGY

Course code: 13.7–WF-FizD-APiKo





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4Lecture 15 1

II

(AK)

Grade

Cla s s 30 2 Grade

COURSE AIM:Knowledge of the current state of research on the structure and evolution of the Universe.

ENTRY REQUIREMENTS:Basic knowledge of general relativity. Ability to program and use numerical methods

COURSE CONTENTS:- Cosmological Principle (Copernican)

- Fundamental Cosmological Observations

- Components of the Universe: radiation, baryonic matter, dark matter and dark energy

- Evolution of the flat Friedman-Lemaitre models

- The formation of cosmic structures

- The comological parametrs

- CMB

- The evolution of galaxies and the Universe at high redshift

- The hypothesis of cosmic inflation

- Nucleosynthesis

- Active Galactic Nuclei

TEACHING METHODS:Lecture and class



EFFECTSVERIFICATION


65

Students can describe the standard cosmological model, Copernican principle and provide observations to justify its validity. They are able to clasify galaxies and explain the differences between them. They can explain methods of determining the rotation curve of the Galaxy, and interpret its shape in the context of the existence and distribution of dark matter. Students know and understand the methods of estimating the age of galaxies. They know the evolution of galaxies, groups of galaxies (in particular the Local Group of Galaxies), the theory of the Big Bang, the thermal history of the Universe and the fundamental cosmological models. They understand the expansion of the universe, the Hubble law, the importance of the cosmological constant and the microwave background radiation. They can describe the process of light elements after the Big Bang and the results of observational measurement of the abundance of light elements and their impact on the cosmological models.

K2A_K01

K2A_K02

K2A_K05

K2A_W01

K2A_W03

K2A_W04K2A_W06

K2A_U01

test,

discussion

lecture

A student can perform, taking into account existing knowledge, calculations to solve basic problems and issues in extragalactic astrophysics and cosmology. Students are able to interpret astronomical observations. Can use their knowledge to construct a simple astrophysical research projects. A student understands the need for further training and is able to understand the lectures of specialists in the field of relativistic astrophysics. Can analyze astrophysical problems and formulate questions to have deeper understanding of problems arising in extragalactic astronomy and cosmology.. Can use his knowledge to give a lecture or write an article for general public – popularization of science. Is able to search for information in english literature.

K2A_W04

K2A_W05K2A_U01K2A_U02K2A_U03K2A_U05

K2A_U11

K2A_U12

current control,homeworkexercises,discussion,

passing writtentests

class

ASSESSMENT CRITERIA:Lecture: Positive passing of final test.

Class: Handing in homework exercises, passing written tests. Positive marks of all activities.

Final grade: weighted average of the lecture test grade and class grade (50% and 50%respectively).



- Preparation to classes: 15 x 1 hours = 15 hours

- Homework exercises: 15 x 1 hours = 15 hours

- Participation in the consultations: 10 hours

- Preparation for the test: 10 hours


Workload involving direct teacher participation: 40 hours, which corresponds to 2 ECTS.

RECOMMENDED READING:[1] James B. Hartle, Grawitacja, 2009, ISBN 9788323504764.

[2] Barbara Rydel, Introduction to Cosmology, ISBN-13: 978-0805389128,

Addison-Wesley; 1st edition (October 18, 2002).

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[3] P. Schneider, Extragalactic astronomy and Cosmology, Springer, 2006.

[4] A. Liddle, Wprowadzenie do kosmologii współczesnej, Prószyński i S-ka, 2000.

[5] M. Jaroszyński, Galaktyki i budowa Wszechświata, PWN, 1993.

OPTIONAL READING: [1] Internet

PROGRAM PREPARATION:Dr hab. Dorota Rosińska, prof. UZ

67

R A D I AT I V E P R O C E S S E S I N A S T R O P H Y S I C SR A D I AT I V E P R O C E S S E S I N A S T R O P H Y S I C S

Course code: 13.7-WF-FizD-PrPwA


Language of instruction: English/Polish



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5Lecture 30 2II

(AK)

Exam

Cla s s 45 3 Grade

COURSE AIM:The expansion of the knowledge of the theory of generation and propagation of radiation. Totransfer messages from astrophysics allowing the students to understand on an advanced levelmost of the phenomena that involve the formation and evolution of the observed radiation fromastronomical objects.

ENTRY REQUIREMENTS:

Knowledge of general astronomy, mathematical analysis and the basis of theoretical physics.

COURSE CONTENTS:- The basic properties of radiation.

- The radiation flux.

- Macroscopic description of the radiation transfere.

- A stream of an isotropic source.

- The intensity of radiation and its moments.

- The energy density of radiation.

- Radiation pressure.

- The radiation transfer.

- The thermal radiation.

- Einstein coefficients.

- The scattering effects, random walking.

- The radiation diffusion.

- The basic theory of radiation field.

- Polarization and Stokes parameters.

- Radiation from moving charges.

- Lienard-Wiecharta potentials.

- Radiation reaction.

- Synchrotron radiation.

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- Compton scattering.

- The plasma effects.

TEACHING METHODS:The conventional lectures, the conventional classes.



EFFECTSVERIFICATION


Students can describe and discuss the fundamental laws of the radiation transfer, the physical processes responsible forthe generation of electromagnetic waves and mutual interaction of waves and matter, with particular emphasis on those that apply to astrophysical issues. The student knows,understands and is able to describe the basic physical laws that govern the generations and propagation of radiation.

K2A_W01K2A_U01

Oralexamination

Lecture

The student has a basic knowledge on the polarization of electromagnetic waves and the Stokes parameters. He can name and describe the radiative processes occurring in the astronomical objects.


Oralexamination

Lecture

Taking into account their knowledge of the laws of physics, students can solve some the problems and issues of astrophysics. They are able to interpret simple observation of radiation sources and based on them estimate the most important physical parameters: brightness, size, temperature.

K2A_W01K2A_U03

Written test Classes

The student has a basic knowledge on the polarization of electromagnetic waves and the Stokes parameters. He can name and describe the radiative processes occurring in the astronomical objects.

K2A_U04 Written test Classes

ASSESSMENT CRITERIA:Lecture: Oral examination; Condition assessment - a positive mark of the exam.

Classes: Written test - positive mark of the test.

Final grade: weighted average of exam and class grades (70% and 30% respectively)

STUDENT WORKLOAD:- Attendance of the lectures: 15 weeks x 2 hours = 30 hours- Attendance of the classes: 15 x 3 = 45 hours- Preparation for the classes: 15 x 1 = 15 hours- Homework: 15 x 1 = 10 hours- Participation in the consultations: 5 hours- Preparation for the exam: 15 hours- Participation in the exam: 2 hoursTOTAL: 127 hours, 5 ECTS

Workload involving direct teacher participation: 82 hours corresponding to 3.23 ECTS.

RECOMMENDED READING:[1] Notatki z wykładów.

[2] G. Rybicki, A. Lightman, Radiative processes in astrophysics, John Wiley @ sons, 1979.

OPTIONAL READING:[1] K. R. Lang, Astrophysical formulae, a compedium for the physicist and astrophysicist, Springer-

Verlag 1980.

[2] V. L. Ginzburg, Theoretical Physics and Astrophysics, Pergamon Press PRES.

PROGRAM PREPARATION:prof. dr hab. Giorgi Melikidze

69

PACKAGES FOR STATISTICAL ANALYSISPACKAGES FOR STATISTICAL ANALYSIS

Course code: 11.3-WF-FizD-PdObSt





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3Laboratory 30 2

II

(FM)Grade

COURSE AIM:The student can use packages for statistical analysis to support biomedical statistical data analysisas well as data visualisation. The student is also able to support less advanced users of statisticalpackages in their day-to-day work.

ENTRY REQUIREMENTS:The knowledge of statistical methods, with the special emphasis on biostatistics. Familiarity withMicrosoft office, especially the Excel spreadsheat or LibreOffice and Calc. Ability to program usingR.

COURSE CONTENTS:Overview of statistical packages and trends in their applications

Aims and methods of general purpose statistical packages

Spreadsheet based graphical user interface

Data transformations in a spreadsheet

Elements of Visual Basic for spreadsheets

Data transformations in spreadsheet with Visual Basic

File and format exchange between R and xls and ods with the XLCONNECT library

Excel/Calc graphics vs R graphics

Elements of the SPSS package with GNU PSPP

File and format exchange between SPSS and R with the use of the foreign library

TEACHING METHODS:Laboratory classes. Working in groups, joint solving of more complicated or laborious examples.


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EFFECTSVERIFICATION


The students knows the necessary functions of Excel and Calc. He or she is able to transform and filter data using both the graphical interface nad Visual Basic

K2_W05

K2_U05

Accomplishment ofprogramming exercises

laboratoryclasses

The student is able to carry out all the statistical analyses available in the given statistical package.

K2_W05

K2_U05

The student can analyze biostatistical data and transform between various dataformats

K2_U03

K2_U04

K2_U05

K2_U07

K2_K06

The student is able tu use statistical packages whether or not he or she has encountered them before, which entails the ability to independently read the documentation and gain knowledge. Thestudent is able to support less proficient users.

K2_U05

K2_U10,

K2_K01

K2_K03






Workload directly involving teacher: 40 hours, 2 ECTS.

RECOMMENDED READING:[1] S. Wolfram, The mathematica book, 5-th ed., Wolfram Media 2003.

[2] E. Don, Mathematica, McGraw-Hill, 2001.

[3] R. Grzymkowski, A. Kapusta, D. Słota, Mathematica narzędzie inżyniera, Wyd. Pracowni

Komputerowej J. Skalmierskiego, Gliwice 1994.

OPTIONAL READING: -

PROGRAM PREPARATION:Dr hab.Jarosław Piskorski

71

ALGORITHMS OF MEDICAL IMAGE ANALYSISALGORITHMS OF MEDICAL IMAGE ANALYSIS

Course code: 12.8-WF-FizD-AAOB





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7Lecture 30 2

II

(FM)

Exam


COURSE AIM:The aim of the course is to become familiar with basic image analysis algorithms as well as gaining practical skillsin medical image analysis.

ENTRY REQUIREMENTS:The ability to program with the use of the Python programming language. Basic signal analsysis course as well as

medica diagnostics and instrumentation course.

COURSE CONTENTS:1) Medical image physics, instrumentation and acquisition

2) 2d and 3d image formation, SNR, CNR (signal-to-noise, contrast-to-noise)

3) Image enhancement algorithms

4) Image feature detection

5) Elements of segmentation techniques

6) Backprojection algorithm and Radon theorem

7) Classification and clustering algorithms

8) Image quality and quality validation


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EFFECTSVERIFICATION


Students expand their ability to acquire knowledge in different ways using a variety of sources.

K2_W02K2_W05K2_U05K2_U07K2_U09K2_U10K2_U14K2_K01K2_K02K2_K03

discussion exercise

They are able to read a digital image andapply transformation to it

K2_W02 K2_W03K2_W05K2_U05K2_U06K2_U10K2_K03

test

exam

exercise

lecture

Students understand the structure of a image analysis algorithm and can apply existing solutions to images.

K2_W02K2_W05K2_U05K2_U06K2_U07

discussion exercise

The students can name the most important medical image analysis algorithms. They can apply at least one impolementation of such algorithms to a medical image.

K2_W05K2_W06K2_U05K2_U06

discussion

test

exam

exercise

exercise

lecture

Students are able to independently learn the details of new algorithms and their numerical implementations.

K2_W01K2_W03K2_U07K2_U09K2_U10K2_U14K2_K01K2_K02

discussion

test

exam

exercise

exercise

lecture

Characteristic feature is the expanding awareness of the need to update the technical knowledge on the available techniques and algorithms.

K2_W04K2_U09K2_U11K2_K01K2_K02K2_K05

discussion

test

exam

exercise

exercise

lecture

ASSESSMENT CRITERIA:Lecture: positive evaluation of the test.Laboratory: positive evaluation of the tests, the execution of the project.The final evaluation of the laboratory: evaluation of tests of 60%, the assessment of the project 40%.Before taking the exam the student must be credited with the exercises.Final grade: arithmetic mean of the completion of the lecture and in excersises.







- Exam: 2 hours

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Contact hours: 72 hours, 3 ECTS.

RECOMMENDED READING:[1] Klaus D. Toennies, Guide to Medical Image Analysis: Methods and Algorithms (Advances in

Computer Vision and Pattern Recognition) 2012th Edition.

[2] Atam P. Dhawan, Medical Image Analysis 2nd Edition

OPTIONAL READING:[1] Kathy McQuillen Martensen, Radiographic Image Analysis, 4e 4th Edition.


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MATHEMATICAL METHODS OF BIOPHYSICS ANDMATHEMATICAL METHODS OF BIOPHYSICS ANDMEDICAL PHYSICSMEDICAL PHYSICS

Course code: 11.1-WF-FizD-MeMaBFM





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5Lecture 15 1

II

(FM)

Exam

Cla s s 30 2 Grade

COURSE AIM:The aim of the course is to present the mathematical methods which a most often used in biology, biophysics and medical physics

ENTRY REQUIREMENTS:The knowledge of calculus, linear algebra and mathematical methods of physics is assumed.

COURSE CONTENTS:1) Studying complex systems with interactions

2) Biological complex systems with interactions

3) Probabilistic methods in biological systems

4) Probability theory in bioinformatics

5) Stochastic processes

6) The dynamics of contagious diseases in animals and humans

7) Monte Carlo methods in experimental medical physics

Exercises to the lecture concern specific topics, increase calculation skills. The emphasis is on differential equations, probability theory problems, stochastic processes analysis and mathematical foundations of simulational methods.

TEACHING METHODS:In addition to traditional lectures multimedia resources are used, the internet etc. In exercisesstudents gain skills while calculating thermodynamic features of the physical systems, theyparticipate in the discussion.

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EFFECTSVERIFICATION


Students are familiar with the basic dynamical and stochastic modes applicable in biological systems analysis.

K2_W01 K2_W02

K2_W05

K2_U01

K2_U03

K2_U07

K2_K05

test

discussion

exam

exercise

excersise

lecture

The student is able to describe the mathematical aspects of the Monte Carlo methods in biophysica as well as applying the existing methods to analyzing a specific problem, given the boundary conditions.

K2_W01 K2_W02

K2_W05

K2_U03

K2_U07

They can present the basic theoremsand physical laws used in biophysica and medical physics along with their justification.

K2_W02

K2_W05

K2_U01

K2_U07

test

discussion

exam

exercise

excersise

lecture

They have skills in application of the mathematical methods of physics in the overlapping fields of science at he same time fulfilling social requirements.

K2_W01 K2_W02

K2_W05

K2_U02

K2_U03

K2_U07

K2_K05

test

discussion

exam

exercise

excersise

lecture

ASSESSMENT CRITERIA:The lecture ends with the completion of the evaluation. Examination is a written test of theoreticalknowledge and practical computational skills. Exercise assessments are made for partial tasks, thefinal evaluation is a written test and assessment of calculation skills using mathematical methods.







Contact hours: 50 hours, 2 ECTS

RECOMMENDED READING:[1] J. David Logan and William Wolesensky, Mathematical Methods in Biology

[2] Jack Lancaster, Bruce Hasegawa, Fundamental Mathematics and Physics of Medical Imaging.

OPTIONAL READING:


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P H Y S I C A L E D U C AT I O NP H Y S I C A L E D U C AT I O N

Course code: 16.1-WF-FizD-WF



Director of studies: mgr Tomasz Grzybowski

Name of lecturer:Teachers Physical Education and Sports Department

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Cla s s 30 2 III Pass/Fail

COURSE AIM:Development of skills to meet the needs associated with the movement, physical fitness, and carefor their own health.

ENTRY REQUIREMENTS:-

COURSE CONTENTS:General characteristics and basic rules of selected sport disciplines. Practical skills in selectedsports. Health education through physical education and sport.

TEACHING METHODS:Lectures, practical exercises, group activities

LEARNING OUTCOMES:

Knowledge: Student know the impact of physical activity on the proper functioning of the body; know the health risks resulting from unhygienic living; have a basic understanding of the rules and principles of playing different sports

Skills: Student is able to diagnose the state of his/her physical fitness; can use various forms of activities depending on the state of health, well-being, atmospheric conditions; carries out various forms of physical activity independently and is aware of its impact on the functioning of the body

Competence: Student is able to function in the group with the principles of social coexistence,responsibility for the safety of myself and others, helping less efficient is able to compete with theprinciples of "fair play", showing respect for the competitors and understanding for differences in thelevel of physical fitness; knows the health hazards due to the improper use of the sports equipment andappliances

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LEARNING OUTCOMES VERIFICATION AND ASSESSMENT CRITERIA:

Exercise - credit on the basis of progress, commitment and student activities in classes and skills in thechosen sports.

Knowledge: observation of the student behaviour during the physical activity

Skills:

- Physical education (standard level) assessment of physical fitness and motor skills using standardized tests determining the level of motor development and technical skills

- Physical education (low level of physical fitness) evaluation of the student's knowledge of diagnostic methods for health and physical fitness and the ability to use exercise to improve movement dysfunction, physiological and morphological with the individual (depending on the type of disability) indicators of the body's functions

Competence: observation of the student behaviour in competitive Sports and in conditions that require thecooperation in the group

STUDENT WORKLOAD:Contact hours: 30 hours, 1 ECTS

RECOMMENDED READING:[1] M. Bondarowicz, Zabawy i gry ruchowe w zajęciach sportowych, Warszawa 2002.

[2] T. Huciński, E. Kisiel, Szkolenie dzieci i młodzieży w koszykówce, Warszawa 2008.

[3] R. Karpiński, M. Karpińska, Pływanie sportowe korekcyjne rekreacyjne, Katowice 2011.

[4] A. Kosmol, Teoria i praktyka sportu niepełnosprawnych, Warszawa 2008.

[5] T. Stefaniak, Atlas uniwersalnych ćwiczeń siłowych, Wrocław 2002.

[6] J. Talaga, ABC Młodego piłkarza. Nauczanie techniki, Warszawa 2006.

[7] J. Uzarowicz, Siatkówka. Co jest grane? Wrocław 2005

[8] B. Woynarowska, Edukacja zdrowotna Podręcznik akademicki, Warszawa 2010.

[9] J. Wołyniec, Przepisy gier sportowych w zakresie podstawowym, Wrocław 2006.

OPTIONAL READING: -

REMARKS: -

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VARIETY IN UNITY IN BIOLOGICALVARIETY IN UNITY IN BIOLOGICAL S C I E N C E SS C I E N C E S

Course code: 13.2-WF-FizD-RwJNP



Director of studies: prof. dr hab. Andrzej Drzewiński

Name of lecturer: prof. dr hab. Andrzej Drzewiński

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2Lecture 30 2 III Pass/Fail

COURSE AIM:The purpose of this course is to familiarize students with the development of concepts and methods of natural sciences, especially physics, chemistry and biology on historical background. Particular emphasis will be placed to indicate the characteristics common to modern methods associated with these different sciences. Thanks to accompanying multimedia presentations, verbal communication is illustrated with numerous examples.

ENTRY REQUIREMENTS:Knowledge of the issues discussed during the first two semesters of study in physics.

COURSE CONTENTS:- Origin of knowledge and its division.- Prehistory of sciences.- Natural sciences in the ancient times.- Natural sciences in the Middle Ages.- Foundations of modern science: experiment and quantitative laws.- From the Scientific Revolution to the Age of Enlightenment.- Birth of physiology and microbiology.- Dominance of classical physics.- Into the world of molecules.- Development of quantum physics and chemistry.- Great teams, great equipment, great discoveries.- Contemporary medical diagnostics.- Genetic Engineering.- Physics, chemistry and cosmology.- What is next and how to go from here?

TEACHING METHODS:Teaching takes the form of lectures combined with discussion.

LEARNING OUTCOMES. LEARNING OUTCOMES VERIFICATION:

DESCRIPTION OF THE EFFECT SYMBOLS OF VERIFICATION FORM OF

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EFFECTS METHODS CLASSESStudent knows the stages of developmentof the life sciences with particular emphasis on physics, chemistry and biology. The student is aware of the coupling between the development and changes in the social, cultural and worldview. Student is able to specify the person who made the greatest contribution to the development of physicsand astronomy, including the Polish scientists.

K2A_W01

K2A_W03

K2A_U07

K2A_K02

The first part of afinal essay (two A4

pages)

lecture

Student is able to identify common characteristics of scientific methods appropriate to natural science. Student understands the role of physics, in everyday life, but also is aware of the dangers posed by it.

K2A_W04

K2A_W06

K2A_U07

K2A_K03

K2A_K05

The second part of afinal essay (two A4

pages)

lecture

ASSESSMENT CRITERIA:Students are assessed on the basis of essay writing. The teacher provides the list of topics a monthbefore the end of classes.

STUDENT WORKLOAD:Participation in the lecture: 15 x 2 = 30 hours

Preparation to discuss: 15 x 1 = 15 hours

Consultations: 2 hours

Essay preparation: 5 hours


RECOMMENDED READING:[1] Dzieje nauki. Nauki ścisłe i przyrodnicze, Wydawnictwa Szkolne PWN 2011.

[2] W. H. Brock, Historia chemii, Prószyński i S-ka, Warszawa 1999.

OPTIONAL READING:[1] M. Bragg, R. Gardiner, Na barkach gigantów. Wielcy badacze i ich odkrycia od Archimedesa do DNA,Prószyński i S-ka, Warszawa 2005.

[2] A. Drzewiński, J. Wojtkiewicz, Opowieści z historii fizyki, PWN 2001.

[3] M. Friedman, G. W. Friedland, Dziesięć największych odkryć w medycynie, Prószyński i S-ka,Warszawa 2000.

[4] A. K. Wróblewski, Historia fizyki, PWN 2007.

PROGRAM PREPARATION:Prof. dr hab. Andrzej Drzewiński

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SOCIAL SCIENCE SUBJECTSOCIAL SCIENCE SUBJECT -- E L E M E N T S O F E C O N O M I C SE L E M E N T S O F E C O N O M I C S

Course code: 14.3-WF-FizD-PodEk



Director of studies: prof. zw. dr hab. Eulalia Skawińska

Name of lecturer:teachers of the Department of Macroeconomics and Finances, Faculty of Economic and Management

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3Lecture 30 2 III Grade

COURSE AIM:Familiarizing students with basic concepts and issues in the field of economics. Explanation of economicphenomena and problems occurring in the modern economy. Presentation of the development of the maintheories and concepts in the field of Economics and showing their practical use by individual entities and inthe economic policy. Acquiring skills and competences to understand and to use the basic categories ofthe market economy. Enabling students to analyze various aspects of functioning of different parts of theeconomy at the macro- and micro- level.

ENTRY REQUIREMENTS:Basic knowledge in mathematics. Ability to understand, analyze, and interpret various phenomena.

COURSE CONTENTS:The place of Economics in science, subject matter, scope, main problems, division of Economics, appliedmethods and tools. Overview of the development of the economic thought (mainstream economics,alternative economics, and economics of complexity). The fundamental problems of economic choice. Themechanism of functioning of the market. The market balance. Forms of market failure and the ways of theirovercoming. Calculation of the social product. Economic growth (the theory of the sustainabledevelopment, the theory of the exogenous growth, theories of the endogenous growth). Economicprosperity. The money market and the fiscal policy. Inflation. The labor market and unemployment. Thestate budget. The foreign trade and the balance of payments. The international economic integration.Economic issues of globalization and the contemporary world (benefits and risks). The role of a state in themodern economy.

TEACHING METHODS:Lecture: a conventional, a problem lecture.


DESCRIPTION OF THE EFFECT SYMBOLS VERIFICATION FORM OF

81

OF EFFECTS METHODS CLASSESA student shall make a description and classification of macro- and microeconomic phenomena as well asof economic processes; shall indicate their causes and effects, understand and classify basic economic categories; shall be able to identify factors affecting their levels, explain mechanisms of functioning of themarket economy and the basic economic policy issues.

K2A_W10 a written test lecture

A student shall be familiar with objectives and functions of the main actors in the market, i.e. households, businesses and the state.

A student shall be able to define the factors shaping levels of the basic macroeconomic categories such as inflation and unemployment; know how to measure them.

K2A_W10 a written test lecture

A student shall know how to use sources of economic data and make their interpretation and analysis.

K2A_U10a description of

case studieslecture

A student shall use the knowledge about economic phenomena and processes to solve economic problems.

K2A_U10a description of

case studieslecture

A student shall be able to supplement and improve the knowledge and skills in the field of economics independently.

K2A_K06a description of

case studieslecture

A student shall be able to use economic analysis tools to solve economic problems.

K2A_K06a description of

case studieslecture

ASSESSMENT CRITERIA:A prerequisite to get a lecture credit is to obtain a positive mark for the written test, which shall be organized at thesame time for all students (open and closed questions). The test shall be passed, if at least 51% of the points areobtained. Evaluation criterion: very good (91 - 100%), good + (81 - 90%), good (71 - 80%), satisfactory + (61 -70%), satisfactory (51 - 60%). In order to obtain a positive mark one shall master the content of the lecturematerial and familiarize with the mandatory literature.

STUDENT WORKLOAD:

The balance of the student workload:

contact hours:

participation in lectures (in hours) 30

participation in consultations(in hours) 10

independent work:

study of literature (in hours) 20

preparation for getting the lecture credit (in hours) 15

THE TOTAL AMOUNT OF the student workload (in hours) 75

Total number of ECTS credits 3

Activities with participation of an academic teacher 2 ECTS

Practical classes 1 ECTS

RECOMMENDED READING:[1] Begg D., Vernasca G., Fisher S., Dornbusch R. (2014), Mikroekonomia, PWE, Warszawa.

[2] Begg D., Vernasca G., Fisher S., Dornbusch R. (2014), Makroekonomia, PWE, Warszawa.

[3] Skawińska E., Sobiech K., Nawrot K. (2011), Makroekonomia. Teoretyczne i praktyczne aspekty gospodarki rynkowej, PWE, Warszawa.

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[4] Ratajczak M. (2012), Współczesne teorie ekonomiczne, Wydawnictwo Uniwersytetu Ekonomicznego w Poznaniu, Poznań.

[5] Marciniak S. (red.) (2013), Makro i mikroekonomia. Podstawowe problemy, Wydawnictwo Naukowe PWN, Warszawa.

[6] Czarny B. (2011), Podstawy ekonomii, PWE, Warszawa.

OPTIONAL READING:

[1] Księżyk M. (2015), Ekonomia współczesnej gospodarki rynkowej, AGH, Kraków.

[2] Nowak A.Z., Zalega T. (2015), Makroekonomia, PWE, Warszawa.

[3] Mączyńska E. (red.) (2014), Ekonomia dla przyszłości. Fundamentalne problemy teorii ekonomii i polityki gospodarczej, PTE, Warszawa.

[4] Bartkowiak R. (2013), Ekonomia rozwoju, PWE, Warszawa.

[5] Mielewski R., Kwiatkowski E. (red.) (2012), Podstawy ekonomii, Wydawnictwo Naukowe PWN, Warszawa 2012.

PROGRAM PREPARATION: dr JOANNA WYRWA

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SOLID STATE PHYSICSSOLID STATE PHYSICS

Course code: 13.2-WF-FizD-FFaSk





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7Lecture 30 2III

Exam

Cla s s 45 3 Grade

COURSE AIM:The aim of the course is to provide students with basic knowledge of solid state physics and thecorresponding research methods with the learning outcomes in the area of science. Studentsshould know the basics of crystallography, the concept of reciprocal lattice, diffraction methods fordetermining the crystal structure, they should be familiar with the issue of an electron in a periodicpotential, the question of the formation of the band structure in solids, the harmonic crystalapproximation, they should know in detail the selected problems of condensed phase in thequantum description, including superconductivity.

ENTRY REQUIREMENTS:It is assumed that students know subjects of general physics and they have got basic course ofmathematical analysis (knowledge and skills that meet the criteria K2A_W01).

COURSE CONTENTS:- Crystal lattices, the classification of Bravais lattices and crystal structures.

- Reciprocal lattice, diffraction methods to determine the crystal structure (Laue condition, Braggequation, Brillouin zones, geometric structural factor).

- An electron in a periodic potential, the Bloch theorem, Kronig-Penney Model.

- Band theory of solids: metals, semiconductors and dielectrics, examples of band structures.

- Crystal in the harmonic approximation (classical and quantum theory), dispersion relations, normalmodes in 1D monatomic Bravais lattices, one-dimensional chain with basis, acoustic and opticalbranches at Brillouin zone boundary.

- Selected issues: continuum linear elastic theory, wave propagation, specific heat, Debye model.

- Superconductivity.

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TEACHING METHODS:Teaching methods have two forms: lecture and exercises.During the lecture both theory and selected examples are presented. Next, the examples are recommended to be extended at exercises. Students increase their computational skills by solving these examples in detail. In addition, they discuss selected problems.





Students have a basic knowledge of the methods of condensed matter physics. General knowledge is supported by a detailed skills in computing for selected models such as one-dimensional model Kröning-Penney'go one-dimensional chain of atoms - unions dispersion, specific heat, which allow broader understanding of the more general theoretical frameworks.

K2A_W01 test

discussion

exam

exercise

exercise

lecture

Students can explain and describe particular phenomena.

K2A_W01K2A_W04

test

discussion

exam

exercise

exercise

lecture

ASSESSMENT CRITERIA:The course ends with an exam grade. Examination is a written test of theoretical knowledge andpractical skills in accounting. The effects of exercise training are reviewed by partial reviews oncompleted tasks, evaluation of written tests and assessment of accounting skills and understandingof selected topics of condensed matter physics.

Overall rating: arithmetic mean score of the exam and exercises.






- Exam: 2 hours


Contact hours: 85 hours, 4 ECTS.

RECOMMENDED READING:[1] Neil W. Ashcroft, N. David Mermin, Solid State Physics, Harcourt College Publishers 1976

[2] C. Kittel, Introduction to solid state physics, John Wiley& Sons Inc, 1996.

[3] L. E. Reichl, A Modern Course in Statistical Physics, E. Arnold (Publishers) LTD, University of Texas Press 1980.

OPTIONAL READING:[1] Donald A. MCQuarrie, The Kroning-Penney Model: A Single Lecture Illustrating the Band

Structure of Solids, in The Chemical Educator VOL. 1. 1996 Springer-Vellag New York,

inc.

[2] F. Reif, Fundamentals of Statistical and Thermal Physics, Mc Graw-Hill, Singapore 1985.


85

NUCLEAR AND HIGH ENERGY PHYSICSNUCLEAR AND HIGH ENERGY PHYSICS

Course code: 13.2-WF-FizD-FJFWE





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6Lecture 30 2

III Exam

Cla s s 30 2 Grade

COURSE AIM:Introduction to fundaments of nuclear physics and high energy physics.

ENTRY REQUIREMENTS:Basic knowledge of classical and quantum mechanics.

COURSE CONTENTS:

- Subjects of nuclear physics and high energy physics

- Physical quantities characterizing nuclei and elementary particles; mass, charge, life-time, barion and lepton numbers, spin, magnetic moment, isospin, parity.

- Nucleon-nucleon interaction. Theory of deuteron.

- Nuclear models: Liquid Drop Model, Fermi gas model, shell model, self-consistent model.

- Mean field theory. Nuclear potentials.

- Residual interactions, quasi-spin model, BCS theory.

- Collective motion. Rotational and vibrational excitations.

- Spontaneous decay of nuclei; α, β, γ, fission.

- Nuclear reactions, Collisions with low, medium and high energies.

- Elements of the standard model and high energy physics.

TEACHING METHODS:Lectures on problems and discussions. Oral practice, in which students solve tasks.


DESCRIPTION OF THE EFFECT SYMBOLS OF VERIFICATION FORM OF

86

EFFECTS METHODS CLASSESThe student knows and understands the fundamental properties of atomic nuclei.

K2A_W01K2A_U01

Disscussion, tests,exam

Class

The student knows mean field approach to many body problem.

K2A_W06 Disscussion, tests,exam

Class

The student understands several models applicable in nuclear physics: liquid drop model, Fermi gas model. The student is able to estimate basic nuclear propertis on the ground of those models.

K2A_U03 Disscussion, tests,exam

Class

The student knows general mechanisms of nuclear reactions and recognizes collective excitations.

K2A_W03

K2A_U03

Disscussion, tests,exam

Class

The student knows elementary particles according to the standard model.

K2A_W05 Disscussion, tests,exam

Class

ASSESSMENT CRITERIA:A course credit for the lectures is obtained by taking a final exam composed of tasks of varying degrees of

difficulty.

During the classes the preparation of the students will be checked as well as their understanding of thelecture content at the time of the lectures. To obtain a course credit for the exercises 50% of the maximumnumber of points will be required, which can be achieved through two cumulative tests. A student whoachieves at least 10% of the maximum points and who does not exceed the class absence limit has the rightto a resit test of the entire material before the examination date. The result of the exam is also affected byclass participation and preparation for the class.





- Exam; 2 hours

Total: 70 hours, 3,4 ECTS.


- Preparation for lectures: 8 hours


- Preparation for tests: 15 hours



Final total: 128 hours, 6 ECTS.

RECOMMENDED READING:[1] P. Rozmej, Lecture Notes, plik pdf.

[2] B. Nerlo-Pomorska, K. Pomorski, Zarys teorii jądra atomowego, PWN, Warszawa 1999.

OPTIONAL READING:[1] E. Skrzypczak, Z. Szefliński, Wstęp do fizyki jądra atomowego i cząstek elementarnych, PWN,

Warszawa 1995.

[2] W. S. C. Williams, Nuclear and particle physics, Oxford: Clarendon Press, 1997.


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INTERNET APPLICATIONS PROGRAMMINGINTERNET APPLICATIONS PROGRAMMING

Course code: 11.3-WF-FizD-PrApI





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4Lecture 15 1III

(FK)

Exam


COURSE AIM:The aim of this course is to introduce the programming techniques required to develop and createinternet applications – how to design and code frontend in css and html, hot to store and analysedata (relational databases). Open source software is important part of this course.

ENTRY REQUIREMENTS:Basic programming in python (with OOP)

Relational databases on the basic level

COURSE CONTENTS:1. HTML

- Document structure

- Blok and „in-line” elements

- Data presentation

- Links

- Graphics

- Lists

- Tables

- Forms

- HTML 5

2. CSS

- Selectors

- Data formating

- Box model

- Positioning

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- Layouts

- Menu

3. JQuery

- JavaScript – introduction

- JQuery – introduction

- Jquery UI

- Plugins

- Ajax

4. Django framework

- Python – OOP techniques

- Django installation and configuration

- View and urls

- Models and relational databases

- Admin panel

- Forms

TEACHING METHODS:Lecture:

Convencional lecture, work with problems, discusiion, workshop.

Laboratory:

Laboratory exercise, project, work in group, presentation, work with documentation, independedwork, brain storm.





Student can find, choose anduse external libraries, frameworks and other solutions according to the licences and the law. Studentcan describe what OpenSource means and discuss why Open Source Software is a good alternative to commercial software and why is worth to use.

K2A_W09K2A_U09K2A_U10 K2A_K04

activity during laboratories,project, discussion, exam

laboratory,lecture

Student can prepare web page according to the W3C standards. Student can discuss why data and presentation layer should be separated.

K2A_W09K2A_U09 K2A_U10 K2A_K04


laboratory,lecture

Student can design databasebased internet service and create it in Django framework. Student can discuss role of the database web services in modern world.

K2A_U09 K2A_U10 K2A_K04


laboratory,lecture


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final procject – 40% (Html + CSS + Jquery), 40% design, quality of code, 20% presentation and discussion.

Laboratory:

20% - tests during laboratories

40% - frontend project

40% - Django project

STUDENT WORKLOAD:- Lectures: 15 h

- Laboratories: 30 h

- Preparation for laboratory: 20 h


- Consultation: 3 h

- Exam: 1 h

Sum: 94 h, 4 ECTS.

Lecturer direct participation: 49 h, 2 ECTS.

RECOMMENDED READING:[1] http://www.w3.org/Style/Examples/011/firstcss

[2] http://www.w3schools.com/

[3] http://docs.jquery.com/Tutorials

[4] http://www.djangobook.com/

[5] https://docs.djangoproject.com/en/1.3/

OPTIONAL READING:[1] http://www.smashingmagazine.com/

[2] Internet

PROGRAM PREPARATION:Dr Marcin Kośmider

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http://www.smashingmagazine.com/

https://docs.djangoproject.com/en/1.3/

http://www.djangobook.com/

http://docs.jquery.com/Tutorials

http://www.w3schools.com/

http://www.w3.org/Style/Examples/011/firstcss

ADVANCED SPECTROSCOPIC METHODSADVANCED SPECTROSCOPIC METHODS

Course code: 13.2-WF-FizD-ZaTSp





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4Lecture 15 1

III

(FŚ)

Exam


COURSE AIM:In-depth knowledge of modern methods, techniques and equipment of the magnetic resonance spectroscopyincluding nuclear magnetic resonance (NMR), electron paramagnetic resonance and ferromagnetic resonance(EPR and FMR) and optical spectroscopy for the study of various substances in the physics of environment.

ENTRY REQUIREMENTS:Basic knowledge of modern physics, including foundations of electrodynamics, atomic and nuclear physics,quantum mechanics in the framework of university courses as well as methods of modern experimentalphysics, in particular, optical and magnetic resonance spectroscopy.

COURSE CONTENTS:Lecture: Classification and short description of magnetic resonance spectroscopy methods.Nuclear magnetic resonance (NMR). The experimental techniques and applications of NMR spectroscopy.Diamagnetic, paramagnetic, and superparamagnetic solids. Ordered magnetic structures in solids, their classification and models. Magnetic resonance spectroscopy of solids. EPR study of the electronic and local structure of the paramagnetic centres. The FMR investigations of the magnetically-ordered solids and magnetic nanocomposites.Optical properties of ordered (crystalline) and disordered (glassy or vitreous) undoped solids. Optical absorption and intrinsic luminescence of crystals and glasses. Inter-band transitions.Impurity states in solids. Ions of transition and rare-earths metals groups in crystals and glasses. The energetic structure of the transition and rare-earth ions in the crystal field. Optical and EPR spectroscopy of ions of the transition and rare-earths groups in crystals and glasses.Intrinsic and radiation-induced point defects in crystals and glasses, their classification and models. Spectroscopic methods (EPR, optical absorption, photoluminescence, thermoluminescence and other) of investigations of the electronic and local structure of intrinsic and radiation-induced point defects in solids.

Laboratory: Registration, analysis and interpretation of the EPR spectra of transition ions in crystals and glasses.Registration, analysis and interpretation of the EPR spectra of rare-earth ions in crystals and glasses.

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Registration, analysis and interpretation of the FMR spectra of magnetic nanoparticles of iron group elementsand their oxides of various compositions.Registration, analysis and interpretation of luminescence spectra (excitation and emission) and the kinetics ofluminescence of the transition ions in crystals and glasses.Registration, analysis and interpretation of luminescence spectra (excitation and emission) and the kinetics ofluminescence of the rare-earth ions in crystals and glasses.Registration, analysis and interpretation of EPR spectra of the radiation-induced point defects in crystals andglasses.

TEACHING METHODS:Conventional lecture. Working with books including special monographs and original articles in the scientificjournals.Laboratory works.





He knows the exper imental andobservational techniques along with theirlimitations.

K2A_W03 Grade Laboratory

He knows the theoretical basis for the operation of scientific instruments in the field of scientific fields and disciplines relevant to physics.

K2A_W04 Exam Lecture

He knows the rules of safety and healthat work sufficiently to work independentlyin a profession physics.

K2A_W07 Grade Laboratory

Able to plan and carry out basicexperiments or observations aboutphysical problems.

K2A_U02 Grade Laboratory

Can understand the problems of areas ofknowledge common to physics andscience related to it as chemistry andbiology.

K2A_U07 Exam Lecture

Understands the need to learn throughout their lives, can inspire and organize the learning process of others.

K2A_K01 Exam Lecture

Is aware of the social impact of researchtypical of physics.


ASSESSMENT CRITERIA:Laboratory: the presence and active participation in lab works, pass on a positive assessment oflaboratory reports within the prescribed period.

Examination of the course: a positive evaluation of the oral examination of the full range ofmaterial.

Overall rating: Arithmetic means pass the exam and laboratory.

STUDENT WORKLOAD:- Participation in lectures: 15 h.

- Participation in lab works: 30 h.

- Prepare for lab works: 25 h.

- Preparation for exam: 15 h.

- Consultation and participation in exam: 5 h.

Total: 90 h, 4 ECTS credits.

Efforts associated with activities that require direct participation of teachers: 50 h, 2.22 ECTS.

RECOMMENDED READING:

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[1] J. A. Weil, J. A. Bolton. J. E. Wertz, Electron Spin Resonance. Elementary Theory and Practical Applications, John Wiley & Sons, New York 1994.

[2] B. Henderson, G. F. Imbush, Optical Spectroscopy of Inorganic Solids, Clarendon Press, Oxford 1989.

OPTIONAL READING:[1] Special literature (monographs and original articles) on investigations of different substances by modern

methods of the magnetic resonance and optical spectroscopy.

REMARKS:Before taking the exam a student must obtain a pass from the laboratory.

PROGRAM PREPARATION:Dr hab. Bohdan Padlyak, prof. UZ

93

QUANTUM PHYSICS I IQUANTUM PHYSICS I I

Course code: 13.2-WF-FizD-FKwa2





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4Lecture 15 1

III

(FT)

Exam

Cla s s 30 2 Grade

COURSE AIM:To teach the student several general features of quantum systems. To give foundations for variouspossible applications

ENTRY REQUIREMENTS:Knowledge of first and second course of quantum mechanics

COURSE CONTENTS:

LECTURE:

- The density operator.

- The evolution operator.

- Gauge invariance.

- Unstable states; lifetimes.

- Bound sates of a particle in a potential well of arbitrary shape.

- Unbound states of a particle in the presence of a potential well or barrier of arbitrary shape.

CLASS:

Essentially the same topics, but with extension of particular calculations and interpretations onseveral examples.

TEACHING METHODS:Lectures on problems and discussions. Oral practice, in which students solve tasks.


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EFFECTSVERIFICATION


The student is aware of importance of density operator in quantum mechanics.


The student knows gauge invariance and its consequences.


The student knows methods of studying time evolution of quantum systems.


The student is familiar with unbound states of physical systems their decay and lifetimes.


Is able to study both bounded and unbounded states of a particle in arbitrary potential.



CLASS: During the classes the preparation of the students will be checked as well as theirunderstanding of the lecture content at the time of the lectures.

To obtain a course credit for the exercises 50% of the maximum number of points will be required,which can be achieved through two cumulative tests. A student who achieves at least 10% of themaximum points and who does not exceed the class absence limit has the right to a re sit test ofthe entire material before the examination date. The result of the exam is also affected by classparticipation and preparation for the class.

Entrance to the exam requires prior accreditation of the course exercises.





- Exam: 2 hours

Total: 52 hours, 2.14 ECTS





RECOMMENDED READING:[1] C. Cohen-Tannoudji, B. Diu, F. Laloe, Quantum Mechanics, 1992.

[2] I. Białynicki-Birula, M. Cieplak, J. Kamiński, Theory of quanta, PWN, Warszawa 2001.

[3] Pdf file delivered to the students.

OPTIONAL READING:[1] A. L. Schiff, Quantum mechanics, PWN, Warszawa 1987.


95

MODERN RADIO ASTRONOMYMODERN RADIO ASTRONOMY

Course code: 13.7-WF-FizD-RadWs





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2Lecture 30 2

III

(AK) Grade

COURSE AIM:Gaining knowledge about modern radio astronomy. Overview modern research instruments andtechniques of observation. Presentation of the current knowledge about the radio sources in theuniverse. Overview of key research projects XXI century astronomy.

ENTRY REQUIREMENTS:Radio astronomical fundamentals

COURSE CONTENTS:Modern techniques of observations in radio astronomy. Construction and operation of moderntelescopes. Interferometry. Radio sources in the Universe. Projects: ALMA, FAST, LOFAR, SKA.

TEACHING METHODS:Lecture





1. The student is able to define and explain the fundamental problems of radio astronomy.

K2A_W02 Discussion/test Lecture

2. Student can discuss the modern tools and techniques of observation in radio astronomy.

K2A_W04

K2A_W06

Discussion/test Lecture

3. Student can discuss the basic properties of radio sources.

K2A_W06K2A_K01

Test Lecture

4. Student can describe the projects: K2A_W06 Discussion/test Lecture

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ALMA, FAST, LOFAR and SKA. K2A_K01K2A_K05

ASSESSMENT CRITERIA:Final grade: Written test. Positive passing of final test (80%) and discussion (20%).

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 2 hours = 30 hours

- Preparation for the lecture: 10 hours

- Participation in the consultations: 2 hours

- Preparation for the test: 10 hours


Workload involving direct teacher participation: 32 hrs corresponding to 1.23 ECTS.

RECOMMENDED READING:[1] Astronomia popularna, praca zbiorowa, PWN, Warszawa 1990.[2] F. H. Shu, Fizyka Wszechświata, Prószyński i S-ka, Warszawa 2003.[3] J. D. Kraus, 1986, Radio Astronomy, 2nd edition, Cygnus-Quasar Books, Powell, OH.[4] T. L. Wilson, K. Rohlfs, S. Huttemeister, Tools of Radio Astronomy, Fifth Edition, Springer-Verlag, Berlin 2009.[5] B. F. Burke and F. Graham-Smith, An Introduction to Radio Astronomy, Third Edition, Cambridge University Press, 2010.

OPTIONAL READING:[1] D. Lorimer and M. Kramer, Handbook of Pulsar Astronomy, Cambridge University Press, Cambridge, 2005.

[2] Single-dish radio astronomy techniques and applications: proceedings of the NAIC-NRAO Summer School held at National Astronomy and Ionosphere Center, Arecibo Observatory, Arecibo, Puerto Rico, USA, 10-15 June 2001.[3] A. R. Thompson, J. M. Moran, G.W. Swenson Jr., Interferometry and Synthesis in Radio Astronomy, Second Edition; WILEY-VCH Verlag GmbH & Co. KgaA, Weinheim, 2004.

PROGRAM PREPARATION: Dr hab. Jarosław Kijak, prof. UZ

97

H I G H - E N E R G Y A S T R O P H Y S I C SH I G H - E N E R G Y A S T R O P H Y S I C S

Course code: 13.7-WF-FizD-AsWEn





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2Lecture 30 2

III

(AK)Exam

COURSE AIM:Consolidation and expansion of the basic concepts of high-energy astrophysics. Forward the message to enable

the understanding of high-energy astrophysical processes.

ENTRY REQUIREMENTS:Knowledge from the introduction to astrophysics, compact objects, Astrophysics I and II.

COURSE CONTENTS:- Special Theory of Relativity.- Physics of fluids.- Radial processes.- Star supernovae.- Neutron stars, pulsars and magnetars.- Binary systems of compact objects.- Gamma-ray bursts and gamma-ray burst afterglow.- Active Galactic Nuclei.

TEACHING METHODS:Lecture with exercises conventional accounting.



EFFECTSVERIFICATION


The student knows and understands the cource content.

K2A_W03 K2A_W04 K2A_W06

Exam Lecture

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Student is able to carry out the bills forsolving problems and issues high-energy astrophysics. Able to interpret astronomical observations carried out in the X-and gamma of the electromagnetic spectrum, and on this basis to estimate the most important physical parameters such as binary systems with a compact object as one of the ingredients.

K2A_U02 K2A_U03

K2A_U07

Exam Lecture

Student is able to use their knowledge to construct a simple research projects, as well as to present their knowledge in a popular science.


Student can use the English-language literature.

K2A_U14 K2A_K01

Exam Lecture


Final grade: Oral examination, Condition Assessment - a positive evaluation of the test.

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 2 hours = 30 hours- Preparation for the lecture: 10 hours- Participation in the consultations: 2 hours- To prepare for the exam: 10 hours- Participation in the exam: 2 hoursTOTAL: 54 hours, 2 ECTS.

Workload involving direct teacher participation: 34 hours corresponding to 1.26 ECTS.

RECOMMENDED READING:[1] U. Kolb, Extreme Environment Astrophysics, Cambridge, 2010.

[2] S. Rossweg, M. Brueggen, Introduction to High-Energy Astrophysics, Cambridge, 2007.

[3] M. S. Longair, High Energy Astrophysics, Cambridge, 2011.

OPTIONAL READING:[1] M. Camenzind, Compact objects in astrophysics, Springer, 2007.

[2] W. H. G. Lewin, M. van der Klis, Compact Stellar X-ray Sources, Cambridge Uni. Press, 2006.

[3] F. Shu, Galaktyki, gwiazdy, życie, Prószyński i S-ka, 2003.

PROGRAM PREPARATION:Dr Agnieszka Słowikowska

99

ELEMENTS OF BIOINFORMATICSELEMENTS OF BIOINFORMATICS

Course code: 11.3-WF-FizD-PoBio





Form ofinstruct ion

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4Lecture 15 1

III

(FM)

Exam


COURSE AIM:T o familiarize the student with the theoretical, computational and practical elements ofbioinformatics. Preparation for work at a bioinformatics laboratory either in a medical healthcarecenter or a research facility.

ENTRY REQUIREMENTS:Knowledge of the elements of probability theory, programming and mathematical methods ofbioinformatics. The ability to programi in either Python or R

COURSE CONTENTS:

1) Fundamentals of genes and genomes.

2) Fundamentals of molecular evolution

3) Genomic technologies

4) Data, databases, formats, search and retrieval / genome browsers

5) Large volume data analysis in bioinformatics / big data in bioinformatics

6) Sequencie alignment and similarity search

7) Sequencing

8) Microarrays analysis

9) Protein structure

In the laboratory the students will carry out programming exercises covering the above topics in the Python orR programming languages.

TEACHING METHODS:Lectures on problems and discussions. Laboratory, programming asignments and projects.

100



EFFECTSVERIFICATION


The student can name the aims and methods of bioinformatics and their relation to physics and biophysics

K2_W01

K2_W03

K2_W04

K2_W05

K2_U01

K2_U07

K2_K05

Examin and laboratoryproject

Class

The student knows the basic terminology and methodologyof bioinformatics

K2_W03

K2_W04

K2_U01

K2_U07


Class

The student can search suitable databases on the internet, he or she can also use the available tools

K2_W05

K2_W08

K2_W09

K2_U05

K2_U06

K2_U10

K2_K01


Class

The student can perform basic analyses and search for fimilarities

K2_W05

K2_U05

K2_U06

K2_U10

K2_K01


Class

The student is able to independently acquire bioinformatics knowledge and is able to read documentation on the implementation of new bioinformatics algorithms

K2_W05

K2_W06

K2_U05

K2_U06

K2_U10

K2_U11

K2_U14

K2_K01


Class


Laboratory: During the laboratory the students will be given a series of open-ended projectscovering the lectures.

Credit will consist of 40% the result of the exam and 60% of the grades achieved for the laboratoryporjects.



- Laboratories: 30 hours


- Exam: 2 hours

Total: 52 hours, 2 ECTS



101



RECOMMENDED READING:[1] Supratim Choudhuri, Bioinformatics for Beginners: Genes, Genomes, Molecular Evolution,

Databases and Analytical Tools,

[2] Phillip Compeau and Pavel Pevzner, Bioinformatics Algorithms: An Active Learning Approach, 2ndEd

OPTIONAL READING:


102

GRADUATE SEMINAR IGRADUATE SEMINAR I

Course code: 13.2-WF-FizD-Smgr1


Language of instruction: English, Polish

Director of studies:The academic teacher directing the seminar


Form ofinstruct ion

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Cla s s 30 2 III Grade

COURSE AIM:To teach students how to prepare and show the presentation involving results discussed in MSc thesis. Preparation for writing MSc thesis.

ENTRY REQUIREMENTS:Skills and knowledge gained during completed courses.

COURSE CONTENTS:Elements of topics in the field of contemporary physics (with special emphasis on those discussedin students' MSc theses).

TEACHING METHODS:Preparation of talks related to MSc thesis. Joint discussion concerning the merit and form of thepresentations.




FORM OFCLASSES

The student gains a general knowledgein the field of current developments andlatest discoveries in the physicalsciences.

K2A_W06Preparation and presentation of

talks. Active participation indiscussions.

seminar

The student can adapt the his presentation to the level of recipient's knowledge.

K2A_U01Preparation and presentation of

talks.seminar

The student is able to acquire by oneself his knowledge and to develop skills using a variety of sources (in Polish and foreign language) and modern


talks.seminar

103

technology.

The student gains the ability to prepare oral presentations, in Polish and foreign language in the fields typical for both theoretical and experimental physics.


talks.seminar

The student understands the role of active and passive dissemination of the knowledge.

K2A_K02Preparation and presentation of

talks. Active participation indiscussions.

seminar

ASSESSMENT CRITERIA:Preparation and presentation at least two talks related to the topis discussed in classes. Active participation in discussions concerning presented talks.

STUDENT WORKLOAD:- Participation in classes: 15 × 2 = 30 hours

- Preparing presentations: 35 hours

- Consultations: 10 hours


Effort related to activities requiring direct participation of teachers 40 hours - equivalent to 1,6ECTS.

RECOMMENDED READING:[1] Articles recommended by lecturer, published in scientific and popular journals

[2] Scientific articles downloaded from the server: lanl.arxiv.org.

OPTIONAL READING: -

PROGRAM PREPARATION:Prof. dr hab. Giorgi Melikidze

104

MONOGRAPHIC LECTURE I – ELEMENTS OF THE RELATIVITYMONOGRAPHIC LECTURE I – ELEMENTS OF THE RELATIVITYT H E O R YT H E O R Y

Course code: 13.2-WF-FizD-WyMo1





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4Lecture 30 2 III Exam

COURSE AIM:Presentation of fundamental and basic problems of the relativity theory, which is the basis ofmodern classical as well quantum mechanics.

ENTRY REQUIREMENTS:Basic course of mathematical analysis and algebra. Knowledge of linear spaces and analyticalgeometry.

COURSE CONTENTS:Part I (Minkowski space-time and Special Relativity Theory): Measuring distances in classicaland relativistic mechanics. Galilean space and time and description of the space rotationtransformations. The concept of inertial observer and Galilean transformations. Minkowski space-time and the Lorentz transformations. Relativistic dynamics. Energy and momentum in SpecialRelativity Theory. Properties of vectors and tensors. Maxwell equations.

Part II (Curved space-time and General Relativity Theory): Basic geometrical concepts ofspace-time. Manifolds: gravity as geometry. Curvature: covariant derivatives, parallel transport andgeodesics. Riemann curvature tensor and its properties. Gravitation: physics in curved space-time.Einstein equation and its properties. Some examples.

TEACHING METHODS:Conventional lecture and work with original scientific papers.





105

Student is able to interpret known ealier experimental facts.

K2A_W03

K2A_W04

Exam Lecture

Student applies mathematical methods solving physical problems.

K2A_W02 Exam Lecture

ASSESSMENT CRITERIA:Oral and written examination of the full range of material. Passing the exam for a passing grade.


- Preparing for exam: 25 h

- Work with original scientific papers: 20 h




Effort associated with activities that require direct participation of teacher – 42 hours, 2 ECTS.

RECOMMENDED READING:[1] Bernard F. Schutz, Wstęp do ogólnej teorii względności, PWN, Warszawa 1995,

A First Course in General Relativity, Cambridge University Press 1985.

[2] W. Kopczyński, A. Trautman, Czasoprzestrzeń I grawitacja, PWN, Warszawa 1981.

[3] S. Carroll, Spacetime and Geometry. An Introduction to General Relativity, Pearson Education Inc. SanFrancisco 2004.

[4] S. Weinberg, Grawitation and Cosmology, Wiley New York 1972.

PROGRAM PREPARATION:Dr hab. Anatol Nowicki, prof. UZ

106

QUANTUM SYSTEMS SIMULATIONSQUANTUM SYSTEMS SIMULATIONS

Course code: 11.3-WF-FizD-SyUKw





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6Lecture 30 2

IV

(FK)

Exam


COURSE AIM:Students should know the methods of numerical simulation of quantum systems and how to appliethem to selected problems of quantum mechanics and quantum computing.

ENTRY REQUIREMENTS:Knowledge of quantum mechanics, knowledge of mathematical methods of physics, knowledge ofprogramming languages - the knowledge and skills that meet the criteria K2A_W01.

COURSE CONTENTS:1. Quantum Mechanics:- Wavepackets (Gaussian wavepacket, diffraction, tunneling),- Simulation using quantum chemistry methods (orbitals, Slater determinant, Hartree-Fock equations, DFT method),- Simulations using quantum Monte Carlo.2. Selected aspects of quantum information (qubit concept, arithmetic operations on qubits, quantum algorithms).

TEACHING METHODS:Teaching methods take the form of lecture, computer lab and excersises. The lecture is is for theoretical introduction. It wshould be enriched with examples of computer simulations and indications of how and when to use quantum methods. The laboratory should have a practical nature, where students are discussing the lecture material, prepare simulations of simple quantum systems, become familiar with the available libraries to conduct simulations of quantum systems. The suggested programming language - Python.


DESCRIPTION OF THE EFFECT SYMBOLS VERIFICATION FORM OF

107

OF EFFECTS METHODS CLASSESStudents have a basic knowledge of the methods of computer simulation of quantum systems. General knowledge.

K2A_W01 test

discussion

exam

exercise

exercise

lecture

General knowledge is supported by the ability to implement a detailed quantum model simulations. They can explain the quantum of phenomena under consideration and justify the methods to be used. They have elementary knowledge of quantum computing.

K2A_W01K2A_W04

test

discussion

exam

exercise

exercise

lecture

ASSESSMENT CRITERIA:The lecture ends with an examination to be assessed. Form of a check is a written theoreticalproblem and practical skills in its implementing. The effects of exercise training are verified bypartial rankings on completed tasks, evaluation of written tests and assessment of skills incomputer simulation for a specific issue of quantum problem.

Overall rating: arithmetic average exam grade and credit.




- Preparation to exam: 20 hours



- Exam: 2 hours



RECOMMENDED READING:[1] W. M. C. Foulkes, L. Mitas, R. J. Needs , G. Rajagopal, Reviews of Modern Physics, Vol. 73, No.1, January 2001

[2] Leonard I. Schiff, Quantum Mechanics, McGrawHill Book Company (1968)

OPTIONAL READING:[1] Internet, python libraries.


108

ANTENNAS RADIATION

Course code: 13.2-WF-FizD-PrAnt





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4Lecture 30 2IV

(FŚ)

Exam


COURSE AIM:The aim of the course is to familiarize students of physics who specialize in environmental physicswith the issue of antenna radiation. This will include theoretical introduction to antennas, examplesof their applications. Students should be able to define the antenna, get to know the methods ofmeasurement of antenna radiation, they should recognize the different types of antennas, learnabout issues related to the impact of antenna radiation on human health and they should knowregulations in this regard.

ENTRY REQUIREMENTS:Knowledge of general physics.

COURSE CONTENTS:- Electromagnetic waves and antennas - basic concepts, types of antennas.

- Antenna radiation patterns.

- Polarization, energy gain, impedance.

- Methods for measuring antenna radiation characteristics.

- Effects of electromagnetic fields on human health legislation.

TEACHING METHODS:Basic methods of training includes lecture and laboratory. Laboratory activity is both mathematicaland practical. Students have access to the measuring apparatus which allows the measurement ofradiation characteristics of selected antennas.

109





Students know the principles of antennas, they can distinguish them.

K2A_W01K2A_W03

test

discussion

exam

exercise

exercise

lecture

Students can in a practical way to measure radiation for selected antennas.

K2A_U01K2_U02

test

discussion

exercise

exercise

Students are aware of the impact of electromagnetic radiation on health.

K2A_U07K2A_K05

test

discussion

exercise

exercise

ASSESSMENT CRITERIA:The course ends with an exam grade. Exam is a written test of theoretical knowledge and practical skills in accounting. The exercises in the lab learning outcomes are reviewed by partial reviews on completed tasks, evaluation of written tests and accounting of the level of practical skills in the use of measuring equipment.Overall rating: arithmetic mean score of the exam and lab pass.






- Exam: 2 hours



RECOMMENDED READING:[1] Constantine A. Balanis, Antenna theory. Analysis and design, John Wiley & Sons, Inc. 2005.

[2] R. K. Singh, Estimation of Electromagnetic Radiation from Base Station Antenna, International Journal of Medical and Biological Sciences 6, 2012.

[3] Stanisław Marzec, Adam Stawowy, Narażenie ludności na pole elektromagnetyczne anten telefonii komórkowej, Zeszyty Naukowe Wyższej Szkoły Zarządzania Ochroną Pracy w Katowicach, Nr 1(3)/2007, s. 45-54.

OPTIONAL READING:[1] Hugh D. Young, Roger A. Freedman, A. Lewis Ford. University Physics, 2008 Pearson Education, Inc.

PROGRAM PREPARATION:Dr hab. Miroslaw Dudek, prof. UZ

110

I O N I Z I N G R A D I AT I O N A N D R A D I O L O G I C A L P R O T E C T I O NI O N I Z I N G R A D I AT I O N A N D R A D I O L O G I C A L P R O T E C T I O N

Course code: 13.2-WF-FizD-PJiOR





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2Lecture 30 2 IV Grade

COURSE AIM:The aim of the course is to familiarize students with the physical description of influence of ofionizing radiation on living organisms and elements of radiological protection.

ENTRY REQUIREMENTS:Fundamentals of Physics and in particular Fundamentals of Physics III - Electricity and magnetism,Fundamentals of Physics IV - Optics and Modern Physics and Mathematical Analysis I and II.

COURSE CONTENTS:Sources and types of nuclear radiation, corpuscular and wave nature of nuclear radiation. Naturaland artificial radioactivity, the laws governing the phenomenon of radioactivity. Mechanisms ofinteraction of heavy charged particles, electrons, photons and neutrons with matter

X-rays, its generation and applications

Influence of ionizing radiation on living organisms. Sources of ionizing radiation. Ionization andexcitation of matter under the influence of ionizing radiation. Detectors of ionizing radiation.Dosimetry of ionizing radiation. Biological effects of ionizing radiation. The values of permissibledoses of ionizing radiation.

Natural radioactivity. Cosmic radiation, radionuclides, radon and thoron, radionuclides in livingorganisms. The use of radionuclides .

Nuclear energy - models of atomic nuclei, binding energy, activation energy, fission and fusion ofatomic nuclei, chain reaction, nuclear power, nuclear reactors, nuclear fuel, modern nuclear powerplants, nuclear power in the global system of production and consumption of energy.

Radiation protection - protection against ionizing radiation, the types and effectiveness of fixedshieldss, weakening of the radiation intensity, safe distance from the exposed radiation sources,limited time zone, emergency zone, causes and consequences of a failure in nuclear installations,radioactive contamination and waste, pprogram of nuclear safety and emergency plans

111

TEACHING METHODS:Conventional lecture.





The student should demonstrate a goodknowledge of the properties of nuclearradiation, the laws governing natural anda r t i f i c i a l r ad ioac t i v i t y. S tuden tsunderstand the notions and the physicalquantities used for description of theionizing radiation phenomena.

K2A_W01 Exam, test Lectures

The student knows pr inciples ofoperation for various types of radiationdetectors.

K2A_W03K2A_W04

Test Lectures

The student has a knowledge of theproduction methods and practicalapplications of nuclear energy for powerindus t r y, t he cu r ren t s ta te andperspectives of nuclear power in Polandand in the world. Student is aware ofbenefits and risks related to nuclearpower for humans and the environment.


The student knows the methods ofmeasurement and detection of nuclearradiation, radioactive contamination,knows methods of the exposurereduction and basic principles ofradiation protection.


Student knows permissible doses ofionizing radiation, knows the applicablestandards and legal regulations, andk n o w s w h e r e t o l o o k f o r t h e i rnovelizations.


Students use various teaching materialsin Polish and English, provided by theteacher as well as found on their own.The student learns a critical approach tomaterials found on the internet.

K2A_U10 Exam, presentation Lectures


The course credit is obtained by passing a final written test composed of tasks of varying degreesof difficulty.

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 2 h = 30 hours

- Preparation for obtaining a credit for the lecture (including the presentation preparation): 20 hours



Workload connected with lectures and classes requiring direct participation of the teacher amountsto 32 hours. This corresponds to 1.23 ECTS point.

RECOMMENDED READING:[1] A. Z. Hrynkiewicz, ed., Człowiek i promieniowanie jonizujące, Wydawnictwo Naukowe PWN, Warszawa 2001.

112

[2] A. Hrynkiewicz, Dawki i działanie biologiczne promieniowania jonizującego, Państwowa Agencja Atomistyki, Instytut Fizyki Jądrowej, Warszawa-Kraków, 1993.

[3] P. Jaracz, Promieniowanie jonizujące w środowisku człowieka, Wyd. Uniwersytetu Warszawskiego, Warszawa 2001.

[4] K. N. Muchin, Doświadczalna fizyka jądrowa, t.1, 2, WNT, Warszawa 1978.

[5] B. Gostkowska, Wielkości, jednostki i obliczenia stosowane w ochronie radiologicznej, CentralneLaboratorium Ochrony Radiologicznej, wyd. III, Warszawa 2005.

[6] A. Skłodowska, B. Gostkowska, Promieniowanie jonizujące a człowiek i środowisko, Wyd. Nauk.SCHOLAR, Biuro Handlowe POLON, Warszawa 1994.

OPTIONAL READING:[1] E. Skrzypczak, Z. Szefliński, Wstęp do Fizyki jądra atomowego i cząstek elementarnych, Wydawnictwo Naukowe PWN, Warszawa 2002.

[2] E. B. Podgorsak, Radiation Physics for medical physicists, Springer-Verlag, Berlin Heidelberg 2010.

PROGRAM PREPARATION:Dr hab. Maria Przybylska, prof. UZ

113

F I E L D T H E O RYF I E L D T H E O RY

Course code: 13.2-WF-FizD-TePol





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4Lecture 30 2

IV

(FT)

Exam

Cla s s 30 2 Grade

COURSE AIM:The aim of the course is to familiarize students with the formalism of special and general theories ofrelativity, the similarities and differences between them, and their applications to the description ofcertain physical and astronomical phenomena.

ENTRY REQUIREMENTS:Mathematical Analysis I and II, mathematical physics, algebraic and geometric methods in physics

COURSE CONTENTS:- Spacetimes of Aristotle, Galileo, and Newton, the concept of the inertial system, absolute and relative character of the time and spatial distances between events, the geometry of the spacetime. Principles of relativity: Galileo's principle and Einstein's principle. Einstein's postulates.- The Lorentz transformation, addition of velocities, constant velocity of light in various inertial frames, the time dilation and relativity of simultaneity, the contraction of distances.- Space-time of the special theory of relativity: the event , the world line of a particle, thw cone of light , space-time interval , the classification of intervals, four vectors.- Spacetime of general relativity , the relationship between spacetimes of general and special relativity , the local inertial frames.- The principle of equivalence, relativity, minimal gravitational coupling and correspondence.- Geodesic deviation and Einstein's equations in empty space. Newtonian limit of geodesic equations.- Tensors of energy and momentum.- Einstein's equations.- The structure of Einstein's equations and their general properties.- The Schwarzschild's solution.

TEACHING METHODS:Conventional lecture with applications of trained formalism to some physical and astronomicalsystems and phenomena.

114

During class students solve exercises illustrating the content of the lecture.



OFEFFECTS

VERIFICATIONMETHODS

FORM OFCLASSES

The student knows and understands the postulatesof special and general theory of relativity. Studentsknow and understand the theoretical results as wellas experiments that led A. Einstein to his postulates.

K2A_W01K2A_U01


classes

The student knows the geometry of space-time ofAristotle, Newton, special and general theory ofrelativity. Students can explain differences betweentchem.

K2A_W02 Exam, discussion Lectures,

classes

The student can explain the phenomenon of timedilation and contraction of the distance from thepoint of view of both frames i.e. moving and restingcoordinate frames.

K2A_W05K2A_U01


classes

The student knows and understands thoughtexperiments with local and nonlocal lift and therelationship of this second experiment withEinstein's equations in empty space.

K2A_W02K2A_U01


classes

The student knows examples of energy andmomentum tensor.


classes

The student knows the steps of reasoning leading tothe formulation of Einstein's equations. Studentsknow the properties of these equations and mannersof their usage.


Exam, discussion Lectures,

classes

The student can explain the form of theSchwarzschild metric and knows geodesics in thismetric.

K2A_W02K2A_U01

Exam, grade,discussion

Lectures,

classes

The student knows the physical and astronomicalphenomena confirming the validity of the special andgeneral theory of relativity.

K2A_W03 Exam Lectures,

classes

Student mastered the tensor calculus. They cancalculate Christoffel symbols, curvature tensor, todetermine equations of geodesics.

K2A_W02 Exam, grade,calculations during

classes

Lectures,

classes

The students gain on their own the knowledge aboutthe special and general theories of relativity anddevelop their skills using a variety of sources in bothPolish and English, as well as using moderntechniques (internet, various databases).


classes


The course credit is obtained by passing a final written exam containing tasks of varying degrees ofdifficulty.

Class:

A student is required to obtain at least the lowest passing grade from the test organized duringclass.

To be admitted to the test from the content of lecture a student must receive a credit for the class.

Final grade: weighted average of grades from the class (40%) and the written texam from thecontent of lecture (60%).


- Participation in class: 15 weeks x 2 hour = 30 hours

115

- Preparation for class including preparation for test: 15 hours


- Preparation for the examination: 20 hours

- Examination: 2 hours


Workload connected with lectures and classes requiring direct participation of the teacher amountsto 65 hours. This corresponds to 2.6 ECTS points.

RECOMMENDED READING:[1] W. A. Ugarow, Szczególna teoria względności, PWN, Warszawa 1985.

[2] J. Foster, J. D. Nightingale, Ogólna teoria względności, PWN, Warszawa 1985.

[3] J. B. Hartle, Grawitacja, Wprowadzenie do ogólnej teorii względności Einsteina, Wydawnictwo Uniwerystetu Warszawskiego, 2010.

[4] L. D. Landau, J. M Lifszyc, Teoria pola, Wydawnictwo Naukowe PWN, Warszawa 2009.

[5] R. D'Inverno, Introducing Einstein's relativity, Claredon Press, Oxford 1998.

[6] M. P. Hobson, G. Efstathiou, A. N. Lasenby, General relativity: an introduction for physicists, Cambridge University Press, Cambridge 2006.

OPTIONAL READING:[1] B. F. Schutz, Wstęp do ogólnej teorii względności, Wydawnictwo Naukowe PWN, Warszawa 2002.

PROGRAM PREPARATION: Dr hab. Maria Przybylska, prof. UZ

116

E L E M E N TA RY PA R T I C L E P H Y S I C SE L E M E N TA RY PA R T I C L E P H Y S I C S

Course code: 13.2-WF-FizD-FCzEl





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2Lecture 30 2

IV

(FT) Grade

COURSE AIM:To acquaint students with the fundamental constituents of matter, their classification and outline themethods of a description of them and a description of their interactions.

ENTRY REQUIREMENTS:Mathematical analysis, mathematical physics, theoretical and relativistic relativistic, foundations ofquantum physics.

COURSE CONTENTS:Lectures: Historical development of particle physics - the classification of elementary particles.Symmetries. Models of elementary particles and their classification. Relativistic kinematics.Lagrange function in particle physics, fields, currents, symmetries and conservation laws.

Classes: Rozwiązywania zadań uzupełniających treści przekazywane na wykładzie. Solvingcomplementary problems to the content provided in the lecture.

TEACHING METHODS:Conventional lectures and classes





Acquire a general knowledge of the basics of particle physics. Skills in using literature and solving basic problems in particle physics. Understanding the need for learning throughout life.

K2A_W01K2A_W06


K2A_K01

Exam Lecture

117

ASSESSMENT CRITERIA:LECTURE: The test



- Preparation for test: 20 hours


RECOMMENDED READING:[1] D. Griffiths, Introduction to elementary particle physics, Wiley 1987.

[2] G. Kane, Modern elementary particle physics, Adison- Wesley, 1993.

[3] F. Halzen, A. D. Martin, Quarks and leptons: An introductory course in modern particle physics,Wiley 1984.

[4] D. Perkins, Wstęp do fizyki wysokich energii, PWN, 2004.

OPTIONAL READING:[1] J. Karaśkiewicz, Elementy klasycznej I kwantowej teorii pola, UMCS 2003.


118

ASTROPHYSICS OF COMPACT OBJECTSASTROPHYSICS OF COMPACT OBJECTS

Course code: 13.7-WF-FizD-AsObZ





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6Lecture 15 1

IV

(AK)

Exam

Cla s s 30 2 Grade

COURSE AIM:Deep knowledge in the field of astrophysics of compacts objects

ENTRY REQUIREMENTS:Basic knowledge of properties of compact objects, of quantum physics and of general relativity. Ability to program and use numerical methods.

COURSE CONTENTS:- Equation of state and structure of white dwarfs and neutron stars.- Non-rotating models of neutron stars.- Stability of neutron stars and white dwarfs.- Schwarzschild solution and properties of spherically symmetric black holes.- Kerr black holes.- Properties of rotating neutron stars.- Criteria for the stability of rigidly rotating relativistic stars.- Astrophysics of compact binaries.- Compact objects as sources of gravitational waves.

TEACHING METHODS:Lecture and class



EFFECTSVERIFICATION


119

A student is able to characterize the final stages of stellar evolution: white dwarfs, neutron stars and black holes. Can describe the basic differences between stars and compact objects. A student has knowledge of equations of state of dense matter. Understands and describes the processes occurring in the interior of neutron stars and white dwarfs. A student is able to construct numerical models of non-rotating white dwarfs and neutron stars, and understands the reasons for the existence of the upper limit on their gravitational mass. Can describe the effect of rotation (rigid, differential) on the global parameters of neutron stars. Can provide the stability criteria for non-rotating and rotating relativistic stars. Can name and describe the most important relativistic effects associated with compact objects. Has knowledge of astrophysical phenomena occurring in binary systems containing a compact object. Has a basic knowledge of properties of black holes. Can describe mechanisms of emission of gravitational radiation from compact object binaries, or rotating neutron stars.

K2A_K01

K2A_K02

K2A_W03

K2A_W04K2A_W06

K2A_U01

exam,

discussion

lecture

Students can write numerical codes (construct algorithms or adopt available numerical libraries) to solve basic problems arising in astrophysics of compact objects. In particular to integrate the equations of the stellar structure of relativistic stars (Oppenheimer-Volkoff equations) to obtain their gravitational mass and radius for a given equation of state.A student understands the need for further training and is able to understand the lectures of specialistsin the field of relativistic astrophysics Can analyse astrophysical problems and formulate questions to have deeper understanding of a topic.A student is able to search for information in english literature.

K2A_W04

K2A_W05K2A_U01K2A_U02K2A_U03K2A_U05

K2A_U11

K2A_K01

current control,evaluation of the

project,homeworkexercises,

discussion, anoral

presentation,passing a

written test

class


Lecture: Positive passing of final exam

Class: Handing in homework exercises, oral presentations, passing a written test, a project - writing aprogram to calculate properties of compact objects. Positive marks of all activities.

Final grade: weighted average of the exam and class (50% and 50% respectively)

STUDENT WORKLOAD:- Participation in lectures: 15 weeks x 1 hours = 15 hours


- Preparation to classes: 15 x 2 hours = 30 hours

- Homework exercises: 15 x 1 hours = 15 hours

- Preparation of the project: 15 x 1 hour = 15 hours

- Consultations, including the project discussion: 15 x 1 hour = 15 hours

- Preparation for the exam: 15 hours



Workload involving direct teacher participation: 63 hours corresponding to 2.95 ECTS

RECOMMENDED READING:[1] S. Shapiro, S. Teukolsky, Black Holes, White Dwarfs and Neutron Stars, Wiley-VCH 2004.

120

[2] M. Demiański, Astrofizyka relatywistyczna, PWN.

[3] P. Haensel, A. Y. Potekhin, D. G. Yakovlev, Neutron Stars, Springer 2007.

[4] James B. Hartle, Grawitacja, 2009, ISBN 9788323504764.

OPTIONAL READING:

[1] C. W. Misner, K. S. Thorne, J. A. Wheeler, Gravitation, 1973.

[2] M. Camenzind, Compact objects in astrophysics, Springer, 2007.

[3] W. H. G. Lewin, M. van der Klis, Compact Stellar X-ray Sources, Cambridge Uni, Press, 2006.

PROGRAM PREPARATION:Dr hab. Dorota Rosińska, prof. UZ

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ELEMENTS OF NEUROSCIENCEELEMENTS OF NEUROSCIENCE

Course code: 13.1-WF-FizD-PoNeOb





Form ofinstruct ion

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4Lecture 30 2

IV

(FM)

Exam


COURSE AIM:T o familiarize the student with the theoretical, computational and practical elements ofneuroscience. Preparation for work at a neurosciences laboratory either in a medical healthcarecenter or a research facility.

ENTRY REQUIREMENTS:Knowledge of the elements of probability theory, programming and mathematical methods ofbiophysics. Elements of the physiology of the brain. The ability to programi in either Python or R

COURSE CONTENTS:

1) Neuron and conductance based models.

10) Simplified neuron and population models

11) Spike time variability

12) Associatiors and synaptic plasticity

13) Large volume data analysis in bioinformatics / big data in bioinformatics

14) Basic network models

15) Fast, freed forward maping networks

1) Self organizing network architectures and genetic algorithms

2) Statistical methods in neuroscience

3) Chaotice networks

In the laboratory the students will carry out programming exercises covering the above topics in the Python orR programming languages.

TEACHING METHODS:Lectures on problems and discussions. Laboratory, programming asignments and projects.

122



EFFECTSVERIFICATION


The student can name the aims and methods of neuroscience and their relation to physics and biophysics

K2_W01

K2_W05

K2_U01

K2_U07

K2_K02


Class

The student knows the basic terminology and methodologyof neuroscience

K2_W01

K2_W02

K2_W05

K2_U01

K2_U07


Class

The student can find suitable algorithms in literature, he/she is also able to use theavailable libraries

K2_W05

K2_U05

K2_U06

K2_U09

K2_U10


Class

The student can perform basic analyses and is able to build the most popular models

K2_W02

K2_W05

K2_U05

K2_U06

K2_U09

K2_U10

K2_K01


Class

The student is able to independently acquire neuroscience knowledge andis able to read documentationon the implementation of newneuroscience algorithms

K2_W01

K2_W02

K2_W05

K2_U05

K2_U06

K2_U09

K2_U10

K2_K01


Class


Laboratory: During the laboratory the students will be given a series of open-ended projectscovering the lectures.

Credit will consist of 40% the result of the exam and 60% of the grades achieved for the laboratoryporjects.



- Laboratories: 30 hours


- Exam: 2 hours

Total: 52 hours, 2 ECTS





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RECOMMENDED READING: [1] Thomas Trappenberg, Fundamentals of Computational Neuroscience 2nd Edition

[2] Peter Dayan, Laurence F. AbbottTheoretical Neuroscience: Computational and MathematicalModeling of Neural Systems (Computational Neuroscience Series) Revised ed. Edition

OPTIONAL READING:


124

ELEMENTS OF MICROBIOLOGYELEMENTS OF MICROBIOLOGY

Course code: 13.1-WF-FizD-PoMi




Name of lecturer:Academic teacher from the Faculty of Bi-ology

Form ofinstruct ion

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Number ofE C T S

c r e d i t sa l l o c a t e d


2Lecture 30 2

IV

(FM) Grade

COURSE AIM:To familiarize the students with microbiology, its aims, methods and connection with healthcare andthe medical physic profession.

ENTRY REQUIREMENTS:High school biology course, a course on the elements of human anatomy and physiology.

COURSE CONTENTS:1) Microbial diversity.

2) How microbes operate

3) The structure of basic microbal types

4) Microbal genetics

5) Molecular microbiology

6) Viruses

7) Physical methods of studying and modifying microbes

8) Microbiology of human health and disease

9) Microbial ecology and evolution

10) Microbes in agriculture and biotechnology

TEACHING METHODS:Conventional lectures, discussions





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The student can describe the basics microbiology, its aims, methods and functions in the modern world.

K2_W01K2_W03K2_U01K2_U04K2_U07

Exam Lecture

The student is able to independently acquire knowledgeon microbiology in the context of biophysics, physics and medical physics

K2_W01K2_W03K2_U01K2_U04K2_U07K2_U09K2_U10K2_U14K2_K01

Discussions during lectures Lecture

ASSESSMENT CRITERIA:LECTURE: The test



- Preparation for test: 28 hours


RECOMMENDED READING:[1] Nicholas P. Money, Microbiology: A Very Short Introduction (Very Short Introductions) 1st Edition

[2] Gerard J. Tortora, Berdell R. Funke, Christine L. Case (Author), Microbiology: An Introduction,

OPTIONAL READING:[1] Thomas J. Montville, Karl R. Matthews, Kalmia E. Kniel (Author), Food Microbiology: An

Introduction 3rd Edition.


126

GRADUATE SEMINAR I IGRADUATE SEMINAR I I

Course code: 13.2-WF-FizD-Smgr2





Form ofinstruct ion

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Seminar 30 2 IV Grade

COURSE AIM:To teach students how to prepare and show the presentation involving results discussed in MSc thesis. Preparation for writing MSc thesis.


COURSE CONTENTS:Elements of topics in the field of contemporary physics (with special emphasis on those discussed in students' MSc theses).

TEACHING METHODS:Preparation of talks related to MSc thesis. Joint discussion concerning the merit and form of the presentations.





The student gains a general knowledge in the field of current developments and latest discoveries in the physical sciences. He can adapt the his presentation to the level of recipient's knowledge, acquire by oneself his knowledge and to develop skills using a variety of sources (in Polish and foreign language) and modern technology. Student gains the ability to prepare oral presentations, in Polish and foreign language in the fields typical for both theoretical and experimental physics. Heunderstands the role of active and

K2A_W06K2A_U01K2A_U10K2A_U13K2A_K02

Preparation andpresentation at least twotalks, student actgivity

Seminar

127

passive dissemination of the knowledge.

ASSESSMENT CRITERIA:Preparation and presentation at least two talks related to the topis discussed in classes.Participation in discussions concerning presented talks.

STUDENT WORKLOAD:- Participation in classes - 30 hours.

- Preparing presentations - 45 hours.

- Consultations – 10 hours.


Effort related to activities requiring direct participation of teachers 40 hours - equivalent to 2 ECTS.




128

GENERAL SEMINARGENERAL SEMINAR

Course code: 13.2-WF-FizD-SPrze





Form ofinstruct ion

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Seminar 30 2 IV Grade

COURSE AIM:To teach students how to prepare speeches and papers in the field of modern physics and how to prepare by oneself to refer their speeches.


COURSE CONTENTS:Elements of topics in the field of contemporary physics (with special emphasis of topics related to quantum optics and quantum information theory).

TEACHING METHODS:Preparation of talks related to MSc thesis. Joint discussion concerning the merit and form of the presentations.


The student gains a general knowledge in the field of current developments and latest discoveries in thephysical sciences (K2A_W06). He/she can adapt the his/her presentation to the level of recipient's knowledge(K2A_U01), acquire by oneself his knowledge and to develop skills using a variety of sources (in Polish andforeign language) and modern technology (K2A_U10). The student gains the ability to prepare oralpresentations, in Polish and foreign language in the fields typical for both theoretical and experimental physics(K2A_U13). He/she understands the role of active and passive dissemination of the knowledge (K2A_K02).



FORM OFCLASSES

The student gains a general knowledgein the field of current developments and

K2A_W06 Preparation and presentation oftalks. Active participation in

seminar

129

latest discoveries in the physicalsciences.

discussions.

The student can adapt the his/her presentation to the level of recipient's knowledge.

K2A_U01 Preparation and presentation oftalks. Active participation in

discussions.

seminar

The student can acquire by oneself his knowledge and to develop skills using a variety of sources (in Polish and foreign language) and modern technology.

K2A_U10 Preparation and presentation oftalks.

seminar

The student gains the ability to prepare oral presentations, in Polish and foreign language in the fields typical for both theoretical and experimental physics.

K2A_U13 Preparation and presentation oftalks.

seminar

The student understands the role of active and passive dissemination of the knowledge.

K2A_K02 Preparation and presentation oftalks. Active participation in

discussions.

seminar

ASSESSMENT CRITERIA:Preparation and presentation at least two talks related to the topis discussed in classes. Activeparticipation in discussions concerning presented talks.

STUDENT WORKLOAD:- Participation in classes: 30 hours

- Preparing presentations: 45 hours



Effort related to activities requiring direct participation of teachers 40 hours - equivalent to 2 ECTS.



OPTIONAL READING: -


130

MONOGRAPHIC LECTURE I I – INTRODUCTION TOMONOGRAPHIC LECTURE I I – INTRODUCTION TOQUANTUM INFORMATION THEORYQUANTUM INFORMATION THEORY

Course code: 13.2-WF-FizD-WyMo2


Language of instruction: Polish or English (to be chosen)



Form ofinstruct ion

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4Lecture 30 2 IV Exam

COURSE AIM:Acquaint students with foundations of Quantum Information Theory: Mathematical tools of thisTheory and possible physical realizations of quantum computers.

ENTRY REQUIREMENTS:Knowledge of mathematics and quantum mechanics found from the previous period of study.

COURSE CONTENTS:- Mathematical foundations of quantum calculations

Vectors and operators in Hilbert space

Postulates of quantum mechanics

Two paradoxes of quantum mechanics: Schroedinger’s cats and Einstein-Podosky-Rosen pairs

Qubits and quantum registers. Entangled states

Quantum gates

Quantum algorithms. Teleportation. Shor’s algorithm

- What is the quantum computer?

Two-level atom as a qubit

Optical Bloch equations, quantum gates as rotations on Bloch Sphere

Photon as a qubit

How quantum computer works

Quantum addition and multiplication

- Quantum cryptography

Fundamental concepts of cryptography

Quantum key distribution by polarized photons

Attack on the Rivest-Shamir-Adleman cryptosystem

- Conclusions

131

TEACHING METHODS:Conventional lecture with the application of multimedia devices.

LEARNING OUTCOMES AND LEARNING OUTCOMES VERIFICATION:




Knowledge: Student possesses a general knowledge concerning quantum information on the both mathematical and physical levels appropriate to the knowledge obtained in the previous period of studies. Lecture is a short introduction to the fundamental problems of the scientificdomain which develops very fast in the last time, namely the quantum information theory. Its applications are also considered, in particular quantum cryptography.

K2A_W02

K2A_W06

Grade of thefinal exam

Participation onthe lecture

Ability:Student can analyze and solve some simple problems in quantum information theory, in particular in quantum cryptography, based on the knowledge and information obtained from the literature, data bases, internet resources in both polish and English, he can present different physical realizations of quantum computers by asimple comprehensible language.

He will able to perform the analysis of results for some algorithms (e.g. teleportation protocol, Shor’s algorithm…), and based on this he can formulate proper conclusions.

He could also find himself a necessary knowledge and develop his abilities in this new domain using different sources of information.

K2A_U01

K2A_U01

K2A_U06

K2A_U10

As above As above

Social competences:Student has an awareness about his knowledge and abilities, understand the need and know the possibilities of continuous gain own qualifications (studies of second and third degree, postgraduate studies) – raising the personal, professional and social qualifications.

K2A_K01 As above As above

ASSESSMENT CRITERIA:The condition for credit is a positive grade of the final exam. This grade is also the final grade.

STUDENT WORKLOAD: - Participation on the lecture: 30 hours

- Independent work: 40 hours



In sum: 82 hours, 4 ECTS.

RECOMMENDED READING:[1] M. A, Nielsen, I. L. Chuang, Quantum Computation and Quantum Information, Cambridge University Press, Cambridge, UK 2000.

[2] K. Giara, M. Kamiński M, Wprowadzenie do algorytmów kwantowych, Akademicka Oficyna Wydawnicza EXIT, Warszawa 2003.

OPTIONAL READING:[1] D. Bouwmeeste, A. Ekert, A. Zeilinger (red.), The Physics of Quantum Information, Springer-Verlag, Heidenberg 2000.

PROGRAM MADE BY CAO LONG VAN

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