CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

1

College of Dunaújvároswww.duf.hu

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

2

Overview

• Introduction• Dunaújváros - College of Dunaújváros• Affected students: Computer economists (BSc)

Computer engineers (BSc)• The themes of the subject „Numerical methods” • Goals, requirements, methods• Students’ attitudes toward the computer aided

education• Summing up

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

3

College of Dunaújváros

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

4

College of Dunaújváros

• 5300 Students

• Institute of Mathematics 2600 St/Y– Dept. of Mathematical Analysis– Dept. of Applied Mathematics

Subjects: …. Numerical methods,…

• Computer Economist, BSc

• Computer Engineer, BSc

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

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Numerical methods – Computer Economic BSc

Semester Lecture Exer. Credit Themes Maths

1 2 2 5 Analysis I.

Fundamental conceptions. Series.

Functions (containing one variable).

Differential calculus.

Integral calculus.

Functions (containing more variable).

6.6%

2 2 2 5 Introduction into the Computer Science I.:

In. Linear algebra

3 2 2+2 5 Technical mathematics I.

Probability.

Mathematical statistics.

Usage of MATLAB program package.

Numerical methods.

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

6

Numerical methods – Computer Engineer BSc

Semester Lecture Exer. Credit Themes Maths

1 2 2 5 Analysis I.

Fundamental conceptions. Series.

Functions (containing one variable).

Differential calculus.

10%

2 2 2 5 Introduction into the Computer Science I.:

In. Linear algebra

2 2 2 5 Analysis II.

Integral calculus.

Functions (containing more variable).

Differential equations.

3 2 2+2 5 Technical mathematics I.

Probability.

Mathematical statistics.

Usage of MATLAB program package.

Numerical methods.

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

7

The themes of Numerical methods

Lecture PC laboratory

1.

Approximate solution of set of linear equations.

Error-analysis.

Approximate solution of set of linear equations.

2.

Interpolation and extrapolation.

Numerical derivation.

Interpolation and extrapolation.

Numerical derivation.

3.

Numerical integration.

Approximate solution of nonlinear equations.

Numerical integration.

Approximate solution of

nonlinear equations.

4.

Approximate solutions of ordinary differential equations.

Evaluation of functions.

Approximate solutions of ordinary differential equations.

Evaluation of functions.

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

8

Goals – Requirements

• Introduction to the numerical methods• Knowledge of the main areas of the numerical

methods• Calculation, approximate calculation

– using computer• Realizations of algorithms – using computer• Usage of software tools for solutions of the

problems (MATLAB)

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

9

Teaching methods

• Lectures, books, exercise book, • Practices in PC laboratory – directing by lecturer

– Calculations – using computer– Realizations of algorithms – using a program package– Usage of some supplies of a program package

(MATLAB)– Using websites (for example:

www. library. cornell.edu/nr

www.wikipedia.hu,

www.wikipedia.org

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

10

Students’ attitudes toward the computer aided education

• Each student works by oneself

(in PC laboratory –lecturer-help)• Rapid response about the work • The result of the works is visible / „measurable”,

(Usage of less or more help) each student is successful

• The course is rather difficult, but each student gets a real sense of achievement, therefore the students receive/accept the course favourably

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

11

Summing up

• Changing of teaching methods• +Usage of the facilities of the computer program

packages / software tools • +Usage of electronic libraries

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

12

Dunaújváros

www.duf.hu

CADGME, Pécs, 20-23 June. 2007

Piroska B. Kis, Computer aided education of numerical methods

13

Thank You for Your attention!