Information Package / Course Catalogue
| Course Code | : MTK648 |
| 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 | : 8 |
The purpose of this course is to introduce and to understand the significance of optimization theory in view of linear and nonlinear problems. The course also aims to gain the ability of researching using modern approaches in this field in both theoretically and practically.
Overview of optimization, and the required mathematical preliminary for optimization, unconstrained optimization, Local Minimizers, One-Dimensional Search Methods, Steepest Descent Method, Analysis of Gradient Methods, Newton's Method and Levenberg-Marquardt Modification, Newton's Method for Nonlinear Least-Squares Problem, The Conjugate Direction and the Conjugate Gradient Algorithms, The Conjugate Gradient Algorithm for Non-Quadratic Problems, Quasi-Newton Methods, Analysis of Least Squares and Recursive Least Squares Algorithm, Unconstrained Optimization and Neural Networks.
| 1. | Ability to understand the importance of optimization for decision making problems |
| 2. | Ability to select the best alternative optimization method in the sense of a given objective function |
| 3. | Ability to use the optimization methods for artificial intelligence problems |
| 4. | Ability to solve unconstrained optimization problems |
| 5. | Ability to understand the concepts of convex and non-convex optimization |
| 1. | Rangarajan K. Sundaram, A First Course in Optimization Theory, Cambridge University Press, ISBN-13: 978-0521497701, 2013. |
| 2. | Edwin K. P. Chong , Stanislaw H. Zak, An Introduction to Optimization, 4th Edition, Wiley, ISBN-13: 978-1118279014, 2008. |
| 3. | P. Venkataraman, Applied Optimization with MATLAB Programming, 2nd Edition, Wiley, ISBN-13: 978-0470084885, 2009. |
| Type of Assessment | Count | Percent |
|---|---|---|
| Assignment | 1 | %5 |
| Term Assignment | 1 | %5 |
| Midterm Examination | 1 | %20 |
| Final Examination | 1 | %70 |
| Activities | Count | Preparation | Time | Total Work Load (hours) |
|---|---|---|---|---|
| Lecture - Theory | 14 | 0 | 3 | 42 |
| Assignment | 1 | 0 | 6 | 6 |
| Term Project | 1 | 0 | 6 | 6 |
| Individual Work | 14 | 0 | 5 | 70 |
| Midterm Examination | 1 | 30 | 2 | 32 |
| Final Examination | 1 | 42 | 2 | 44 |
| TOTAL WORKLOAD (hours) | 200 | |||
PÇ-1 | PÇ-2 | PÇ-3 | PÇ-4 | PÇ-5 | PÇ-6 | PÇ-7 | PÇ-8 | PÇ-9 | PÇ-10 | PÇ-11 | PÇ-12 | PÇ-13 | PÇ-14 | PÇ-15 | |
OÇ-1 | 4 | 4 | 4 | 3 | 3 | 4 | 3 | 3 | 2 | 3 | 4 | ||||
OÇ-2 | 4 | 4 | 4 | 4 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | |||
OÇ-3 | 5 | 5 | 5 | 5 | 5 | 5 | 3 | 3 | 5 | 3 | 4 | 2 | 5 | ||
OÇ-4 | 4 | 5 | 4 | 4 | 4 | 4 | 3 | 3 | 2 | 2 | 3 | ||||
OÇ-5 | 3 | 3 | 3 | 4 | 3 | 4 | |||||||||