Department of Mathematicshttps://www.univ-soukahras.dz/en/dept/math |
Module: Unconstrained optimization
Lecturer | Mohammed BELLOUFI |
Information |
Bachelor - Mathematics
Department of Mathematics Website : https://www.univ-soukahras.dz/en/module/2667 Semester : S5 Unit : UEM5.1 Credit : 5 Coefficient: 2 |
Content | Chapter 1: Differential Calculus and Convexity Review • Differentiability, Gradient, Hessian Matrix • Taylor Expansion • Convex Functions Chapter 2: Unconstrained Minimization • Existence and Uniqueness Results • First-Order Optimality Conditions • Second-Order Optimality Conditions Chapter 3: Optimization Algorithms • Gradient Descent Method • Conjugate Gradient Method • Newton\\\\\\\\\\\\\\\'s Method • Relaxation Method • Practical Exercises |
Evaluation | Exam: 60% Directed activities: 40% Evaluation method: Mini quiz: 10 points Participation: 5 points Discipline: 5 points For Practical Work: Assessment of In-Class Assignments: 10 points Mini Project: 10 points |