Information Package / Course Catalogue - Adnan Menderes University

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Person Responsible for Information Package

Optimization

Course Code	: İKP631
Course Type	: Area Elective
Couse Group	: Third Cycle (Doctorate Degree)
Education Language	: Turkish
Work Placement	: N/A

Theory	: 3
Prt.	: 0
Credit	: 3
Lab	: 0
ECTS	: 5

Objectives of the Course

To give the students a working knowledge of optimization theory and methods and to equip the students with sufficient backround for further study of advanced topics in optimization.

Course Content

Introduction to Optimization, Convex Analysis, Optimality Conditions and Duality, Unconstrained Problems, Problems with Inequality Constraints, Problems with Inequality and Equality Constraints, Second Order-Necessary and Sufficient Optimality Conditions for Constrained Problems, Lagrangian Duality and Saddle Point Optimality Conditions. Algorithms and Their Convergence, Optimization in Application Area.

Name of Lecturer(s)

Lec. Yılmaz ERDEM

Learning Outcomes

1.	Students will have basic knowledge about mathematical optimization.
2.	Students will learn the mathematics of a how particular mathematical optimization technique works.
3.	Students will also be familiar with the limitations, assumptions, and specific applicability of the technique.
4.	Students will gain the ability to solve mathematical models.
5.	Students will produce a solution for real-world problem successfully that is timely, accurate, flexible, economical, reliable, and easy to understand and use.

Recommended or Required Reading

1.	Mokhtar S. Bazaraa, Hanif D. Sherali, C. M. Shetty, Nonlinear Programming: Theory and Algorithms, John Wiley & Sons, Inc., New York, 2006.
2.	Edwin K. P. Chong and Stanislaw H. Zak, An Introduction to Optimization, Second Edition, Wiley-Interscience Series in Discrete Mathematics and Optimization, John Wiley

Weekly Detailed Course Contents

Week 1 - Theoretical

Introduction to Optimization

Week 2 - Theoretical

Convex Analysis

Week 3 - Theoretical

Convex Analysis

Week 4 - Theoretical

Constrained Optimization: Unconstrained Optimization, Problems with Equality Constraints, Problems with Inequality and Equality Constraints, Second Order-Necessary and Sufficient Optimality Conditions for Constrained Problems

Week 5 - Theoretical

Lagrangian Duality and Saddle Point Optimality Conditions.

Week 6 - Theoretical

Computational Methods

Week 7 - Theoretical

Computational Methods

Week 8 - Intermediate Exam

Midterm Exam

Week 9 - Theoretical

Computational Methods

Week 10 - Theoretical

Computational Methods

Week 11 - Theoretical