CS1201 Design and Analysis of Algorithms Syllabus

CS1201          DESIGN AND ANALYSIS OF ALGORITHMS               3  1  0  100

AIM
To create analytical skills, to enable the students to design algorithms for various applications, and to analyze the algorithms.

OBJECTIVES
•    To introduce basic concepts of algorithms
•    To introduce mathematical aspects and analysis of algorithms
•    To introduce sorting and searching algorithms
•    To introduce various algorithmic techniques
•    To introduce algorithm design methods

UNIT I        BASIC CONCEPTS OF ALGORITHMS                        8
Introduction – Notion of Algorithm – Fundamentals of Algorithmic Solving – Important Problem types – Fundamentals of the Analysis Framework – Asymptotic Notations and
Basic Efficiency Classes.

UNIT II        MATHEMATICAL ASPECTS AND ANALYSIS OF ALGORITHMS        8
Mathematical Analysis of Non-recursive Algorithm – Mathematical Analysis of Recursive Algorithm – Example: Fibonacci Numbers – Empirical Analysis of Algorithms – Algorithm Visualization.

UNIT III    ANALYSIS OF SORTING AND SEARCHING ALGORITHMS                    10
Brute Force – Selection Sort and Bubble Sort – Sequential Search and Brute-force string matching – Divide and conquer – Merge sort – Quick Sort – Binary Search – Binary tree- Traversal and Related Properties – Decrease and Conquer – Insertion Sort – Depth first Search and Breadth First Search.

UNIT IV         ALGORITHMIC TECHNIQUES                                         10
Transform and conquer – Presorting – Balanced Search trees – AVL Trees – Heaps and Heap sort – Dynamic Programming – Warshall’s and Floyd’s Algorithm – Optimal Binary Search trees – Greedy Techniques – Prim’s Algorithm – Kruskal’s Algorithm – Dijkstra’s Algorithm – Huffman trees.

UNIT V          ALGORITHM DESIGN METHODS                                      9
Backtracking – n-Queen’s Problem – Hamiltonian Circuit problem – Subset-Sum problem – Branch and bound – Assignment problem – Knapsack problem – Traveling salesman problem.

TUTORIAL                                           15
                                                                                                                   TOTAL : 60
    TEXT BOOKS
1.    Anany Levitin, “Introduction to the Design and Analysis of Algorithm”, Pearson Education Asia, 2003.

    REFERENCES
1.    T.H. Cormen, C.E. Leiserson, R.L. Rivest and C. Stein, “Introduction to Algorithms”, PHI Pvt. Ltd., 2001
2.    Sara Baase and Allen Van Gelder, “Computer Algorithms - Introduction to Design and Analysis”, Pearson Education Asia, 2003.
3.    A.V.Aho, J.E. Hopcroft and J.D.Ullman, “The Design and Analysis Of Computer Algorithms”, Pearson Education Asia, 2003.
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