Introduction,Implementation Issues, Analyzing Algorithms | 1 | Handouts | 7-9 |

Model of Computation | 2 | Handouts | 10-10 |

Brute-Force Algorithm,Running Time Analysis | 3 | Handouts | 11-13 |

Analysis of the brute-force maxima algorithm | 4 | Handouts | 14-17 |

Plane-sweep Algorithm its analysis and Comparison to Brute-force Algorithim | 5 | Handouts | 18-22 |

Asymptotic Notation | 6 | Handouts | 23-26 |

Divide and Conquer Strategy,Merge Sort | 7 | Handouts | 27-28 |

Analysis of Merge Sort | 8 | Handouts | 29-30 |

The Iteration and Recursion Tree Methods for Solving Recurrence Relations | 9 | Handouts | 31-33 |

Sieve Technique | 10 | Handouts | 34-35 |

Analysis of Selection, Sorting, Heaps | 11 | Handouts | 36-40 |

Heap sort algorithm | 12 | Handouts | 41-45 |

Quick sort | 13 | Handouts | 46-49 |

Average-case Analysis of Quicksort | 14 | Handouts | 50-53 |

In-place,Stable Sorting | 15 | Handouts | 54-57 |

Radix sort | 16 | Handouts | 71-72 |

Dynamic Programming ,Edit Distance Applications and Algorithim | 17 | Handouts | 73-77 |

Edit Distance: Dynamic Programming Algorithm and its Analysis | 18 | Handouts | 77-84 |

Chain Matrix Multiply | 19 | Handouts | 84-90 |

Chain Matrix Multiply | 20 | Handouts | 84-90 |

Knapsack Problem | 21 | Handouts | 91-92 |

Knapsack Problem: Dynamic Programming Approach | 22 | Handouts | 93-96 |

Greedy Algorithms,Examples:Counting Money | 23 | Handouts | 97-99 |

Huffman Encoding Algorithm | 24 | Handouts | 99-99 |

Huffman Encoding: Correctness, Activity Selection | 25 | Handouts | 100-104 |

Correctness of Greedy Activity Selection | 26 | Handouts | 105-106 |

Fractional Knapsack Problem ,Graphs | 27 | Handouts | 107-112 |

Graphs: Representations,Traversal | 28 | Handouts | 113-114 |

Breadth-first Search,Generic Graph Traversal Algorithm | 29 | Handouts | 114-119 |

Breadth-first Search,Generic Graph Traversal Algorithm | 30 | Handouts | 114-119 |

DFS - Timestamp Structure ,DFS - Cycles | 31 | Handouts | 119-130 |

Precedence Constraint Graph ,Topological Sort | 32 | Handouts | 130-132 |

Strong Components and DFS | 33 | Handouts | 133-136 |

Minimum Spanning Trees | 34 | Handouts | 137-141 |

Computing MST: Generic Approach,Greedy MST | 35 | Handouts | 142-143 |

Kruskal''s Algorithm | 36 | Handouts | 143-146 |

Prim''s Algorithm | 37 | Handouts | 147-152 |

Shortest Paths | 38 | Handouts | 153-154 |

Dijkstra''s Algorithm | 39 | Handouts | 154-156 |

Correctness of Dijkstra''s Algorithm, Bellman-Ford Algorithm | 40 | Handouts | 157-160 |

Floyd-Warshall Algorithm | 41 | Handouts | 161-168 |

Floyd-Warshall Algorithm | 42 | Handouts | 161-168 |

Complexity Theory,Classes P,NP | 43 | Handouts | 169-172 |

Reductions ,NP-Completeness | 44 | Handouts | 173-177 |

Boolean Satisfiability Problem:Cook''s Theorem,Independent Sets | 45 | Handouts | 178-184 |