Design & Analysis of Algorithms (ECE503)

Jayavignesh T

Asst Professor

SENSE

PREREQUISITE Any programming language like C/C++

AIM

To develop proficiency in problem solving and programming. To be able to carry out the Analysis of various Algorithms for mainly Time and Space Complexity. To get a good understanding of applications of Data Structures.

LEARNING OUTCOMES

Ability to decide the appropriate data type and data structure for a given problem. Ability to select the best algorithm to solve a problem by considering various problem characteristics, such as the data size, the type of operations, etc. Ability to compare algorithms with respect to time and space complexity

Design and Analysis of Algorithms

Reference Book for Unit 1, Unit 2

Bible Book – Reference for Unit 2 & Unit 4 (Unit 1 – Minor)

Reference Books for Unit 3

Reference for Unit 4 & Unit 5

Reference Books for Unit 5

Other References – The Local Authors!!

• A.A.Puntambekar, “Design and Analysis of Algorithms” (or)

• Prabhakar Gupta, Vineet, Agarwal, Manish Varshney

“Design and Analysis of Algorithms”,

2nd Edition, Prentice Hall of India

(Unit 1, Unit 2)

Unit I – Introduction

• The Role of Algorithms in Computing,

• Analyzing algorithms,

• Designing algorithms,

• Insertion Sort,

• Asymptotic notations,

• Divide and Conquer Technique,

• Methods of Solving Recurrences

– Substitution method

– Recursion tree method

– The master method

Unit II – Advanced Algorithmic Analysis

• Amortized analysis;

• Online and offline algorithms;

• Randomized algorithms;

• Dynamic Programming;

• Combinatorial optimization.

Unit III – Cryptographic Algorithms

• Historical overview of cryptography;

• Private-key cryptography and the key-exchange

problem;

• Public-key cryptography;

• Digital signatures;

• Security protocols;

• Applications (zero-knowledge proofs,

authentication etc..)..

Unit IV – Geometric Algorithms

• Line segments: properties, intersections;

• Convex hull finding algorithms

–Graham’s Scan

– Jarvis March

–Quick Hull

Unit V – Parallel and Distributed Algorithms

• PRAM model;

• Exclusive versus concurrent reads and writes;

• Pointer jumping;

• Brent’s theorem and work efficiency.

• Distributed Algorithms: Consensus and election;

• Termination detection;

• Fault tolerance;

• Stabilization.

EVALUATION METHOD

• Mid Term Exam – During 2nd – 10th April 2016

• Term End Exam – 7th – 26th May 2016

• 75% attendance to avoid debarring

• Internal Assessment Weightage ( 55 marks)

• Mid Term CAT (90 min) – 50 marks

• Seminar - Algorithmic Puzzles Solving, Program Demos etc..

• Surprise / Announced Quiz

• Open Book Test during CAT 1 period (20th – 28th February

2016)

• Term End Exam Weightage – 45 marks (100 marks - 3 hrs)

What is Expected?

• Fullest Cooperation by attending the class

regularly.

• Debarring concept < 75% attendance

• Learn the maximum out of this course.

• Take Seminar topics out of your own interest.

• 100% Results – Let’s work for it!!