| 1 | Introduction | PDF unavailable |
| 2 | Mathematical Background | PDF unavailable |
| 3 | Mathematical Background (contd) | PDF unavailable |
| 4 | One Dimensional Optimization - Optimality Conditions | PDF unavailable |
| 5 | One Dimensional Optimization (contd) | PDF unavailable |
| 6 | Convex Sets | PDF unavailable |
| 7 | Convex Sets (contd) | PDF unavailable |
| 8 | Convex Functions | PDF unavailable |
| 9 | Convex Functions (contd) | PDF unavailable |
| 10 | Multi Dimensional Optimization - Optimality Conditions, Conceptual Algorithm | PDF unavailable |
| 11 | Line Search Techniques | PDF unavailable |
| 12 | Global Convergence Theorem | PDF unavailable |
| 13 | Steepest Descent Method | PDF unavailable |
| 14 | Classical Newton Method | PDF unavailable |
| 15 | Trust Region and Quasi-Newton Methods | PDF unavailable |
| 16 | Quasi-Newton Methods - Rank One Correction, DFP Method | PDF unavailable |
| 17 | i) Quasi-Newton Methods - Broyden Family ii) Coordinate Descent Method | PDF unavailable |
| 18 | Conjugate Directions | PDF unavailable |
| 19 | Conjugate Gradient Method | PDF unavailable |
| 20 | Constrained Optimization - Local and Global Solutions, Conceptual Algorithm | PDF unavailable |
| 21 | Feasible and Descent Directions | PDF unavailable |
| 22 | First Order KKT Conditions | PDF unavailable |
| 23 | Constraint Qualifications | PDF unavailable |
| 24 | Convex Programming Problem | PDF unavailable |
| 25 | Second Order KKT Conditions | PDF unavailable |
| 26 | Second Order KKT Conditions (contd) | PDF unavailable |
| 27 | Weak and Strong Duality | PDF unavailable |
| 28 | Geometric Interpretation | PDF unavailable |
| 29 | Lagrangian Saddle Point and Wolfe Dual | PDF unavailable |
| 30 | Linear Programming Problem | PDF unavailable |
| 31 | Geometric Solution | PDF unavailable |
| 32 | Basic Feasible Solution | PDF unavailable |
| 33 | Optimality Conditions and Simplex Tableau | PDF unavailable |
| 34 | Simplex Algorithm and Two-Phase Method | PDF unavailable |
| 35 | Duality in Linear Programming | PDF unavailable |
| 36 | Interior Point Methods - Affine Scaling Method | PDF unavailable |
| 37 | Karmarkar\'s Method | PDF unavailable |
| 38 | Lagrange Methods, Active Set Method | PDF unavailable |
| 39 | Active Set Method (contd) | PDF unavailable |
| 40 | Barrier and Penalty Methods, Augmented Lagrangian Method and Cutting Plane Method | PDF unavailable |
| 41 | Summary | PDF unavailable |