| Lec # | TOPICS | LECTURE NOTES | 
|---|---|---|
| 1 | Modeling with Integer Variables What is a Good Formulation Theme: The Power of Formulations  | (PDF) | 
| 2 | Methods to Enhance Formulations | (PDF) | 
| 3 | Methods to Enhance Formulations II | (PDF) | 
| 4 | Ideal Formulations I | (PDF) | 
| 5 | Ideal Formulations II | (PDF) | 
| 6 | Ideal Formulations III | (PDF) | 
| 7 | Duality I | (PDF) | 
| 8 | Duality II and Efficient Algorithms | (PDF) | 
| 9 | Solving Relaxations | (PDF) | 
| 10 | Lattices I | (PDF) | 
| 11 | Lattices II | (PDF) | 
| 12 | Lattices III | (PDF) | 
| 13-14 | Algebraic Geometry and Integer Optimization | (PDF) |