| 1 | Unconstrained Optimization Optimality Conditions (PDF) |
| 2 | Convex Unconstrained Optimization Optimality Conditions |
| 3 | Newton's Method (PDF) |
| 4 | Quadratic Forms (PDF) |
| 5 | Steepest Descent Method (PDF - 2.2 MB) |
| 6 | Constrained Optimization Optimality Conditions I (PDF) |
| 7 | Constrained Optimization Optimality Conditions II |
| 8 | Constrained Optimization Optimality Conditions III |
| 9 | Projection Methods for Equality Constrained Problems (PDF) |
| 10 | Projection Methods/Penalty Methods (PDF) |
| 11 | Penalty Methods |
| 12 | Barrier Methods, Conditional Gradient Method (PDF) |
| 13 | Midterm Exam |
| 14 | Interior-Point Methods for Linear Optimization I (PDF) |
| 15 | Interior-Point Methods for Linear Optimization II |
| 16 | Analysis of Convex Sets (PDF) |
| 17 | Analysis of Convex Functions |
| 18 | Duality Theory I (PDF) |
| 19 | Duality Theory II |
| 20 | Duality Theory III |
| 21 | Duality Theory IV (PDF) |
| 22 | Generalized Programming and Subgradient Optimization (PDF) |
| 23 | Semidefinite Optimization I (PDF) |
| 24 | Semidefinite Optimization II |
| 25 | Semidefinite Optimization III |
| 26 | Extensions and Wrap-up |