B.E. (Computer Engineering) Analysis of Algorithm Lab Syllabus - Mumbai University 2026
The University has moved this degree onto NEP 2020 one year at a time. The first and second years are NEP 2020 syllabi; the third and fourth years are still examined on the REV-2019 'C' Scheme, which is what the University sets for them this year.
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Syllabus for Analysis of Algorithm Lab
Module 0: Prerequisite
- Basic knowledge of programming and data structure
Module I: Introduction
- Performance analysis- Master Method, space, and time complexity Growth of function, Big Oh, Omega Theta notation Mathematical background for algorithm analysis. Analysis of selection sort, insertion sort.
Module II: Divide and Conquer Approach
- General method, Merge sort, Quick sort, Analysis of Binary search. Self-learning Topics: Finding minimum and maximum algorithms and their Analysis, Strassen's Algorithm
Module III: Greedy Method Approach
- General Method, Single source shortest path: Dijkstra AlgorithmFractional Knapsack problem, Minimum cost spanning trees: Kruskal and Prim’s algorithms Self-learning Topics: Job sequencing with deadlines
Module IV: Dynamic Programming
- General Method, Multistage graphs
Module 1: Assignment covers the topics from first three units limited to three Questions
Module 2: Assignment covers the topics from Last three units limited to three Questions
Module 1: Experiment based on common mathematical functions.( Selection sort, Insertion sort)
Module 2: Experiment based on divide and conquers approach. (Merge sort, Quick sort, Binary search)
Module 3
- Experiment based on greedy approach.( Single source shortest path- Dijkstra Fractional Knapsack problem, Minimum cost spanning trees-Kruskal and Prim’s algorithm)
Module 4: Experiment using dynamic programming approach (All pair shortest path- Floyd Warshall, 0/1 knapsack)
Module 5: Travelling salesperson problem Longest common subsequence
Module 6: Experiment based on graph Algorithms ( BFS, DFS , etc)
Module 7: Experiment using Backtracking strategy. (N-queen problem, Sum of subsets, Graph coloring)
Module 8: Experiment using branch and bound strategy.
Module 9
- Experiment based on string matching/amortized analysis (The Naïve string matching Algorithms , The Rabin Karp algorithm, The Knuth-Morris-Pratt algorithm.
Module 10: Implementation Min-Max Algorithm
Module 11: Implementation of Job Sequencing with deadlines.
Module 12: Implementation of Bellman Ford Algorithm using Dynamic programming
Text Books
- 1 T. H. Cormen, C.E. Leiserson, R. L. Rivest, and C. Stein, “Introduction to algorithms”, 2nd Edition, PHI Publication 2005.
- 2 Ellis Horowitz, Sartaj Sahni, S. Rajsekaran. “Fundamentals of computer algorithms” University Press.
- 1 Sanjoy Dasgupta, Christos Papadimitriou, Umesh Vazirani, “Algorithms”, Tata McGraw- Hill Edition.
- 2 S. K. Basu, “Design Methods and Analysis of Algorithm”, PHI Online Resources:
Reproduced from the University of Mumbai syllabus for B.E. (Computer Engineering) under NEP 2020, in force from the academic year 2025-26. Wording is as printed in that syllabus. Module numbering is as printed there too.
The complete syllabus
This subject is cut from the University circular for its year. Open a document here if you want the whole thing rather than a single subject.