640:354 Linear Optimization Syllabus

Date Topic
0Sep 4 1.1. The Linear Programming Problem
1Sep 7 1.2. Matrix Notation
2Sep 11 1.3. Geometry of Linear Programming Problems
3Sep 14 1.4. The Extreme Point Theorem
4Sep 18 1.5. Basic Solutions
5Sep 21 2.1. The Simplex Method for Problems in Standard Form
6Sep 25 2.1 (continued)
7Sep 28 2.2. Degeneracy and Cycling
8Oct 2 Review and catch up
9Oct 5 Midterm 1
10Oct 9 2.3. Artificial Variables
11Oct 12 2.3. Two-Phase Method
12Oct 16 3.1. Duality
13Oct 19 3.1. (continued)
14Oct 23 3.2. The Duality Theorem
15Oct 26 3.2. (continued)
16Oct 30 3.3. Computational Relations between the Primal and Dual Problems
17Nov 2 3.4. The Dual Simplex Method
18Nov 6 Review and catch up
19Nov 9 Midterm 2
20Nov 13 3.6. Sensitivity Analysis
21Nov 16 3.6. (continued)
22Nov 21 4.1. Examples
23Nov 27 4.1. (continued)
24Nov 30 4.2. Cutting Plane Methods
25Dec 4 4.2. Mixed Integer Programming
26Dec 7 4.3. Branch and Bound Methods
27Dec 11 Review and catch up