Thursday 6 December 2018

Teaching Plan For Design and Analysis of Algorithm (DAA), TE : CE, Savitribai Phule Pune University (SPPU)

Unit
Topic and sub topics covered
Lecture
I
Fundamentals :
The Role of Algorithms in Computing –
What are algorithms
2
Algorithms as technology
1
Evolution of Algorithms
1
Design of Algorithm
1
Need of Correctness of Algorithm
1
Confirming correctness of Algorithm – sample examples
1
Iterative algorithm design issues
2
II
Models and Design : Functional Model – Features, Recursive processes, Recursive processes,  Recursive processes
1
Scope rules, Tail recursion
1
Checking correctness of Iterative process
1
Imperative Model – Basics
1
Specifications and Prototyping
1
Stepwise Refinement
1
Proof Rules – Basics, For loops, Goto and Exit loops
1
Functions and Procedures
1
Problem Solving using Greedy strategy - Knapsack problem, Huffman code generation algorithm
1
III
Abstract Algorithms: Dynamic Programming
1
Divide and Conquer
1
Greedy strategy
1
Branch-n-Bound
1
Natural Algorithms –Evolutionary Algorithms and Evolutionary Computing
2
Introduction to Genetic Algorithm
1
Simulated Annealing
1
Artificial Neural Network and Tabu Search
1
IV
Complexity Theory: Complexity theory – Counting Dominant operators

Growth rate, upper bounds, asymptotic growth, O, Ω, Ɵ, o and ω notations
2
polynomial and non-polynomial problems
1
deterministic and non-deterministic algorithms
1
P-class problems, NP-class of problems
2
Polynomial problem reduction NP complete problems- vertex cover
1
Polynomial problem reduction NP complete problems-   3-SAT
1
NP hard problem - Hamiltonian cycle.
1
V
Amortized Analysis: Amortized Analysis – Binary, Binomial and Fibonacci heap
2
Dijkstra‘s Shortest path algorithm, Splay Trees, Time-Space tradeoff
2
Introduction to Tractable and Non-tractable Problems
1
Introduction to Randomized and Approximate algorithms
1
Embedded Algorithms: Embedded system scheduling (power optimized scheduling algorithm)
2
sorting algorithm for embedded systems

1
VI
Multithreaded and Distributed Algorithms: Multithreaded Algorithms - Introduction, Performance measures
1
Analyzing multithreaded algorithms
1
Parallel loops, Race conditions
1
Problem Solving using Multithreaded Algorithms - Multithreaded matrix multiplication,
1
Multithreaded merge sort
1
Distributed Algorithms - Introduction, Distributed breadth first search
1
Distributed Minimum Spanning Tree
1
String Matching- Introduction, The Naive string matching algorithm
1
The Rabin-Karp algorithm
1

Text books: (T)

T1. Parag Himanshu Dave, Himanshu Bhalchandra Dave, ―Design And Analysis of Algorithms‖, Pearson Education, ISBN 81-7758-595-9
T2. Gilles Brassard, Paul Bratley, ―Fundamentalsof Algorithmics‖, PHI, ISBN 978-81-203-1131-2

References Books: (R)

R1. Michael T. Goodrich, Roberto Tamassia , ―Algorithm Design: Foundations, Analysis and Internet Examples‖, Wiley, ISBN 978-81-265-0986-7
R2. Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein, ―Introduction to Algorithms‖, MIT Press; ISBN 978-0-262-03384-8
R3. Horowitz and Sahani, "Fundamentals ofComputer Algorithms", University Press, ISBN: 978 81 7371 6126, 81 7371 61262
R4. Rajeev Motwani and Prabhakar Raghavan, ―Randomized Algorithms‖, Cambridge University Press, ISBN: 978-0-521-61390-3
R5. Dan Gusfield, ―Algorithms on Strings,Trees and Sequences‖, Cambridge University Press,ISBN:0-521-67035-7






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