CS 3510-A, Design and Analysis of Algorithms,
Spring 2013
[Course
Information] [
Approximate Schedule]
General info
Homeworks
- Homework 1 [pdf].
- Homework 2 [pdf].
- Homework 3 [pdf].
- Homework 4 [pdf].
- Homework 5 [pdf].
- Homework 6 [pdf].
Lectures
- 01/09:
Intro & Admin. Computing Fibonacci numbers.
- 01/11: Insertion Sort.
Reading: [CLRS] Chapters 2.1 and 2.2.
- 01/14:
Asymptotic Analysis.
Reading: [CLRS] Chapter 3.
- 01/16: Divide and conquer. Mergesort. Reccurences
Reading: [CLRS] Chapters 2.3 and 4.
- 01/18:
Reccurences. The master theorem.
Reading: [CLRS] Chapter 4.
- 01/23:
Karatsuba multiplication. Strassen algorithm.
- 01/25: QuickSort. QuickSelect.
Optional readings:
probabilistic analysis and formal analysis of Randomized QuickSort.
- 01/28:
Linear-time Selection, a determinstic linear algorithm.
Reading: [CLRS] Chapters 9.3.
- 01/30: Review of Hwk 2. Quiz Review.
- 02/01: First Quiz Review.
- 02/04:
Comparison-based lower bounds for sorting.
Reading: [CLRS] Chapter 8.1.
- 02/06: Graph Algorithms. Breadth First Search.
Reading: [CLRS] Chapters 22.1, 22.2.
- 02/08: Depth First Search.
Reading: [CLRS] Chapter 22.3.
- 02/11: Topological Sort.
Reading: [CLRS] Chapter 22.4.
- 02/13: Strongly Connected Components.
Reading: [CLRS] Chapter 22.5.
- 02/15: Review of Hwk 3.
- 02/18: Minimum Spanning Trees. The Cut Property.
Reading: [CLRS] Chapter 23.1.
- 02/20: Kruskal's Algorithm. Union Find.
Reading: [CLRS] Chapters 23.2. 21.1, and 21.2.
- 02/22: Prim's Algorithm. Min-Priority Queues.
Reading: [CLRS] Chapters 23.2.
- 02/25:Shortest Path Problems. Disjkstra's Algorithm.
Reading: [CLRS] Chapters 24.0, 24.3.
- 02/27: Disjkstra's Algorithm. Min-Priority Queues. Binary Heaps.
- 03/01: Review of Hwk 4. Quiz Review.
- 03/04: Second Quiz.
- 03/06: Dynamic Programming. Longest Common Subsequence.
Reading: [CLRS] Chapters 15.4.
- 03/08: Dynamic Programming. The Knapsack problem.
- 03/11: Dynamic Programming. Matrix Chain Multiplication.
Reading: [CLRS] Chapters 15.2, 15.3.
- 03/13: Dynamic Programming. Longest Increasing Subsequences.
- 03/15: Dynamic Programming. The Bellman Ford Algorithm.
- 03/25: Dynamic Programming. All-pairs Shortest Paths.
Reading: [CLRS] Chapter 25.1.
- 03/27: Dynamic Programming. The Floyd Warshall Algorithm.
Reading: Reading: [CLRS] Chapter 25.2.
- 03/29: Dynamic Programming. Maximum Independent Sets in Trees.
- 04/01: Review of HWK 6. Quiz Review.
- 04/03: Third Quiz.
- 04/05: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.1, 34.2, 34.3.
- 04/08: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.1, 34.2, 34.3.
- 04/10: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.1, 34.2, 34.3.
- 04/12: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.1, 34.2, 34.3.
- 04/15: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.4, 34.5.
- 04/17: Tractable and Intractable Problems. NP-Completness.
Reading: [CLRS] Chapters 34.4, 34.5.
- 04/19: Introduction to Machine Learning Theory.