Course Syllabus

Interactive learning path for Linear and Nonlinear Programming

Course Progress
Overall Progress0%
Course Content
Total Chapters15
Total Exercises230
Achievements
Unlocked0/0
Chapter 1: INTRODUCTION
Beginner
2 hours
Fundamental concepts and types of optimization problems
Progress75%

Achievements

Optimization Explorer
Problem Solver
10 Exercises
Chapter 2: BASIC PROPERTIES OF LINEAR PROGRAMS
Intermediate
3 hours
Understanding the fundamental properties and examples of linear programming
Progress60%

Achievements

Linear Programming Master
Problem Solver
15 Exercises
Chapter 3: THE SIMPLEX METHOD
Advanced
5 hours
Learning the fundamental algorithm for solving linear programming problems
Progress0%

Achievements

Simplex Solver
Algorithm Expert
20 Exercises
Chapter 4: DUALITY AND COMPLEMENTARITY
Advanced
4 hours
Understanding the dual nature of linear programming problems
Progress0%

Achievements

Duality Expert
Theory Master
18 Exercises
Chapter 5: INTERIOR-POINT METHODS
Advanced
4 hours
Exploring modern approaches to solving linear programming problems
Progress0%

Achievements

Interior Point Explorer
Modern Methods Master
15 Exercises
Chapter 6: CONIC LINEAR PROGRAMMING
Advanced
3 hours
Advanced topics in conic optimization
Progress0%

Achievements

Conic Programming Expert
Advanced Theory Master
12 Exercises
Chapter 7: BASIC PROPERTIES OF SOLUTIONS AND ALGORITHMS
Intermediate
3 hours
Understanding the fundamental properties of unconstrained optimization
Progress0%

Achievements

Unconstrained Explorer
Theory Apprentice
15 Exercises
Chapter 8: BASIC DESCENT METHODS
Intermediate
4 hours
Learning fundamental algorithms for unconstrained optimization
Progress0%

Achievements

Descent Methods Expert
Algorithm Master
18 Exercises
Chapter 9: CONJUGATE DIRECTION METHODS
Advanced
3 hours
Advanced techniques for unconstrained optimization
Progress0%

Achievements

Conjugate Direction Master
Advanced Algorithm Expert
15 Exercises
Chapter 10: QUASI-NEWTON METHODS
Advanced
4 hours
Efficient algorithms for unconstrained optimization
Progress0%

Achievements

Quasi-Newton Expert
Optimization Master
20 Exercises
Chapter 11: CONSTRAINED MINIMIZATION CONDITIONS
Advanced
4 hours
Understanding the necessary conditions for constrained optimization
Progress0%

Achievements

Constrained Theory Expert
Theory Master
18 Exercises
Chapter 12: PRIMAL METHODS
Advanced
3 hours
Algorithms for solving constrained optimization problems
Progress0%

Achievements

Primal Methods Expert
Algorithm Master
15 Exercises
Chapter 13: PENALTY AND BARRIER METHODS
Advanced
3 hours
Transforming constrained problems into unconstrained ones
Progress0%

Achievements

Penalty Methods Expert
Transformation Master
12 Exercises
Chapter 14: DUALITY AND DUAL METHODS
Advanced
3 hours
Understanding the dual nature of constrained optimization
Progress0%

Achievements

Dual Methods Expert
Duality Master
15 Exercises
Chapter 15: PRIMAL-DUAL METHODS
Advanced
3 hours
Combining primal and dual approaches for constrained optimization
Progress0%

Achievements

Primal-Dual Expert
Optimization Grandmaster
12 Exercises