Design and Analysis of Algorithms

Overview

Instructor: Prof. Abhiram Ranade, Department of Computer Science, IIT Bombay.

This course covers lessons on divide and conquer, greedy algorithm, pattern matching, dynamic programming and approximation algorithm. The main goal of this course teaches you to design algorithms which are fast. In this course you will study well defined design techniques through lots of exercises. We hope that at the end of the course you will be able to solve algorithm design problems that you may encounter later in your life.

Syllabus

Lecture - 1 Overview of the course.
Lecture - 2 Framework for Algorithms Analysis.
Lecture - 3 Algorithms Analysis Framework - II.
Lecture - 4 Asymptotic Notation.
Lecture -5 Algorithm Design Techniques : Basics.
Lecture -6 Divide And Conquer-I.
Lecture -7 Divide And Conquer -II Median Finding.
Lecture -8 Divide And Conquer -III Surfing Lower Bounds.
Lecture -9 Divide And Conquer -IV Closest Pair.
Lecture -10 Greedy Algorithms -I.
Lecture - 11 Greedy Algorithms - II.
Lecture - 12 Greedy Algorithms - III.
Lecture - 13 Greedy Algorithms - IV.
Lecture - 14 Pattern Matching - I.
Lecture - 15 Pattern Matching - II.
Lecture -16 Combinational Search and Optimization I.
Lecture - 17 Combinational Search and Optimization II.
Lecture -18 Dynamic Programming.
Lecture 19 Longest Common Subsequences.
Lecture -20 Matric Chain Multiplication.
Lecture - 21 Scheduling with Startup and Holding Costs.
Lecture - 22 Average case Analysis of Quicksort.
Lecture - 23 Bipartite Maximum Matching.
Lecture - 24 Lower Bounds for Sorting.
Lecture -25 Element Distinctness Lower Bounds.
Lecture -26 NP-Completeness-I -Motivation.
Lecture - 27 NP - Compliteness - II.
Lecture - 28 NP-Completeness - III.
Lecture - 29 NP-Completeness - IV.
Lecture - 30 NP-Completeness - V.
Lecture - 31 NP-Completeness - VI.
Lecture - 32 Approximation Algorithms.
Lecture - 33 Approximation Algorithms.
Lecture - 34 Approximation Algorithms for NP.