PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
YBS 403	OPTIMIZATION TECHNIQUES	3 + 0	7th Semester	5

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	To teach gradient-based unconstrained numerical optimization techniques. To implement these techniques in MatLab environment. To use these techniques in solving real-world problems.
Course Content	One-dimensional nonlinear numerical optimization. Multi-dimensional nonlinear numerical optimization. Mathematical background. Analytical conditions for optimality. First-order methods. Second-order methods. Second-order approximate methods. Applications.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Knows the fundamental concepts of numerical optimization
2	Knows gradient-based unconstrained numerical optimization methods
3	Solves related real-world problems by optimization methods
4	Modeling and prediction by Artificial Neural Networks

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12
LO 001	1	5	4	2	3	5	4	2	2	3	2	4
LO 002	2	1	3	2	5	4	2	3	2	1	4	5
LO 003	2	1	2	5	4	2	3	3	5	4	2	2
LO 004	4	5	2	1	2	3	5	4	1	2	5	3
Sub Total	9	12	11	10	14	14	14	12	10	10	13	14
Contribution	2	3	3	3	4	4	4	3	3	3	3	4

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	4	56
Mid-terms	1	14	14
Final examination	1	18	18
Total Work Load ECTS Credit of the Course			130 5

COURSE DETAILS

Select Year

	Course Term	No	Instructors
Details	2020-2021 Fall	1	ATALAY ÇAĞLAR

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
YBS 403	OPTIMIZATION TECHNIQUES	3 + 0	1	Turkish	2020-2021 Fall

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Assoc. Prof. Dr. ATALAY ÇAĞLAR	acaglar@pau.edu.tr		Course location is not specified.	%

Goals		To teach gradient-based unconstrained numerical optimization techniques. To implement these techniques in MatLab environment. To use these techniques in solving real-world problems.
Content		One-dimensional nonlinear numerical optimization. Multi-dimensional nonlinear numerical optimization. Mathematical background. Analytical conditions for optimality. First-order methods. Second-order methods. Second-order approximate methods. Applications.

Topics

Weeks	Topics
1	Introduction to Optimization
2	Graphical Method
3	Classical Optimization Methods: Single Variable Optimization
4	Two Variables Optimization
5	Unconstrained Multivariate Optimization Methods: Matrices, Quadratic Form
6	Unconstrained Multivariate Optimization Methods, Gradient Vector, Hessien Matrix
7	Multivariate Optimization Methods with Equality Costraints : Direct Replacement Methods
8	Midterm
9	Multivariate Optimization Methods with Equality Costraints : Lagrange Multipliers Methods
10	Multivariate Optimization Methods with Inequality Costraints: Kuhn-Tucker Conditions
11	Nonlinear Programming (Single Variable Optimization) : Unrestricted Search, Exhaustive Search, Fixed Search
12	Two Symetrical Points Search, Split Search
13	Golden Section Methods, Fibonacci Methods,
14	Gradient Methods: Steepest Ascent Methods, Steepest Descent Methods

Materials

Materials are not specified.

Resources

Resources	Resources Language
Optimizasyon Teknikleri, Hasan Bal, Gazi Üniversitesi, Ankara, 1995.	Türkçe
Doğrusal Olmayan Programlama, Gülsüm Oral, Akademi Matbaası, Ankara, 1989.	Türkçe
Engineering Optimization: Theory and Practice, Singiresu S. Rao, Wiley Interscience, 1996	English
Applied Optimization with MATLAB Programming, P. Venkataraman, Wiley Interscience, NewYork, 2002.	English
Optimizasyon, Ayşen Apaydın, A.Ü., Ankara, 2005.	Türkçe
Optimizasyon ve Matlab Uygulamaları, Aysun Tezel Özturan, Nobel Akademik Yayıncılık, 1. Baskı, Ankara, 2019	Türkçe
Optimizasyon Problemlerinin R İle Çözümü, Namık Kemal Erdoğan, Nisan Kitabevi, Eskişehir, 2016.	Türkçe
Nonlinear Programming: Theory and Algorithms, Mokhtar S. Bazaraa Hanif D. Sherali C. M. Shetty, Wiley, Third Edition, 2006.	English
Taha, H. A., 1992, Yöneylem Araştırması, (Operations Research: An Introduction, 5th ed. Macmillan, New York.) Literatür, İstanbul, 2000.	Türkçe

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student