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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
EKO 612OPTIMIZATION THEORY3 + 03rd Semester10

COURSE DESCRIPTION
Course Level Doctorate Degree
Course Type Elective
Course Objective to explain the basic notions that it is used to the optimization theory
Course Content Mathematical Fundamentals,Optimization in Rn,Weierstrass Theorem,Unrestricted Optimization,Equivalence Restrictions and Kuhn-Tucker Theorem,Convex Structures,Quasi Convexity,Parametric Persistence,Supermodularity and Parametric Monotony,Finite horizon Dynamic Programming
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1to explain quadratic forms and definite matrices
2to analyses the unconstrained optimization
3to explain constrained optimization
4to explain the homogeneous and homothetic functions
5to analyses the concave and quasiconcave functions
6to perform the economic applictions

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
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LO 002555555555555
LO 003545454545454
LO 004454545454545
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LO 006545454545454
Sub Total292729272927292729272927
Contribution555555555555

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14684
Assignments51365
Mid-terms13030
Final examination13939
Total Work Load

ECTS Credit of the Course






260

10
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2021-2022 Spring1ATALAY ÇAĞLAR


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
EKO 612 OPTIMIZATION THEORY 3 + 0 1 Turkish 2021-2022 Spring
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Assoc. Prof. Dr. ATALAY ÇAĞLAR acaglar@pau.edu.tr İİBF A0201 %
Goals to explain the basic notions that it is used to the optimization theory
Content Mathematical Fundamentals,Optimization in Rn,Weierstrass Theorem,Unrestricted Optimization,Equivalence Restrictions and Kuhn-Tucker Theorem,Convex Structures,Quasi Convexity,Parametric Persistence,Supermodularity and Parametric Monotony,Finite horizon Dynamic Programming
Topics
WeeksTopics
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
ResourcesResources 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, 1996English
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, 2019Türkçe
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 MethodsPercentage (%)Assesment Methods Title
Final Exam50Final Exam
Midterm Exam50Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes