Date | Topics | Readings |
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Jan 21: Lecture 1 |
Introduction |
Section 1.1 |
Jan 26: Lecture 2 |
Stable Matching Problem Demo GS algorithm |
Section 1.2 Sample quiz Solutions of Sample quiz |
Jan 28: Lecture 3 |
Basics of algorithm analysis |
Sections 2.1, 2.2, 2.3 |
Feb 2: Lecture 4 |
Basics of algorithm analysis |
Sections 2.4 Sample quiz Solutions of Sample quiz |
Feb 4: Lecture 5 |
Graphs Quiz 1 |
Sections 2.4, 3.1 (definition of a graph and examples) |
Feb 9: Lecture 6 | BFS and DFS Demo on DFS |
Sections 3.2, 3.3 Assignment 1 |
Feb 11: Lecture 7 |
Testing Bipartiteness; Connectivity in Directed Graphs |
Sections 3.4, 3.5 Sample quiz Solutions of Sample quiz Sample quiz |
Feb 16: Lecture 8 | Topological ordering; Solutions of quizzes |
Section 3.6 |
Feb 18: Lecture 9 |
Greedy algorithms: Interval scheduling; Interval Partitioning; Minimize Lateness (problem definition) Quiz 2 |
Sections 4.1, 4.2 (problem definition) |
Feb 23: Lecture 10 |
Greedy algorithms: Minimize Lateness HW1 DUE |
Section 4.2 |
Feb 25: Lecture 11 |
Greedy algorithms: Dijkstra's algorithm |
Section 4.4 Sample quiz HW2: Exercises 3.3, 3.12, 4.3, 4.15 |
Mar 2: Lecture 12 |
Greedy algorithms: The Minimum Spanning Tree Problem, Kruskal's, Reverse-Delete, and Prim's algorithms. Application: Clustering |
Section 4.5 |
Mar 4: Lecture 13 |
Quiz 3 |
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Mar 9: NO CLASS | Spring Break! | |
Mar 11: NO CLASS | Spring Break! | |
Mar 16: Lecture 14 |
Review for Midterm exam Sample Midterm HW2 DUE |
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Mar 18: Lecture 15 | Midterm Exam Syllabus for the Exam The exam is closed book. Limited notes are permitted: one sheet of notes (8.5 x 11 inches, 1 side only). No copying is allowed, i.e., no photocopying of anything and no copying of someone else's notes. The sheet must have the student's name on it and must be turned in with the exam. |
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Mar 23: Lecture 16 |
Huffman Codes |
Section 4.8 |
Mar 25: Lecture 17 |
Divide-and-Conquer 1 |
Sections 5.1,5.3 Sample quiz Solutions of Sample quiz |
Mar 30: Lecture 18 |
Divide-and-Conquer 2 |
Section 5.4 |
Apr 1: Lecture 19 |
Dynamic Programming 1 Quiz 4 |
Section 6.1 |
Apr 6: Lecture 20 |
Dynamic Programming 2 |
Sections 6.2, 6.4 Sample quiz |
Apr 8: Lecture 21 | Solutions of Sample Quiz; Solutions of Midterm Exam | |
Apr 13: Lecture 22 |
Dynamic Programming 3 |
Section 6.6 |
Apr 15: Lecture 23 |
Network flow I Demo Ford-Fulkerson algorithm Quiz 5 |
Assignment 3 Sections 7.1, 7.2 |
Apr 20: Lecture 24 |
Network flow III: applications (bipartite matching only) |
Sections 7.5 |
Apr 22: Lecture 25 |
Polynomial-time reductions |
Section 8.1 |
Apr 27: Lecture 26 |
ASSIGNMENT 3 DUE! NP and Computational Intractability |
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Apr 29: Lecture 27 |
NP-completeness Quiz 6 |
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May 4: Lecture 28 | Review | |
May 6: 1:30-4:15pm | Final Exam |