TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Master's Degree With Thesis
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	10
NAME OF LECTURER(S)	Professor İmdat Kara
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Explain the necessary and sufficient conditions for the global and local optimal in nonlinear decision models. 2) Formulize and solve the nonlinear decision models. 3) Use softwares for which are prepared to solve nonlinear decision models and interpret its results.
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	None
COURSE DEFINITION	Nonlinear models. Convexity and quadratic forms. Analytic and numerical solutions of single variable models. Multi variable models, Kuhn-Tucker conditions. Analytic and numerical solution methods. Integer and dynamic programming.
COURSE CONTENTS	WEEK TOPICS 1st Week Nonlinear decision model: examples 2nd Week Local and global optimality: convex set and convex functions 3rd Week Necessary and sufficient conditions for the local and global optimality 4th Week Analytical solution of decision models with single variable 5th Week Numerical solution methods of decision models with single variable 6th Week Quadratic forms: Taylor expansion 7th Week Analytical solution of decision models with multiple variables 8th Week Analytical solution of decision models with multiple variables 9th Week Numerical solution of decision models with multiple variables 10th Week Decision models with equality constraints: Lagrange multipliers 11th Week General decision models with multiple variables: KKT conditions 12th Week Quadratic programming 13th Week Decision models with multiple variables and constrains: softwares 14th Week Decision models with multiple variables and constrains: softwares
RECOMENDED OR REQUIRED READING	Ders Notları Winston, Wayne L., Operations Research, Duxbury Press, 3rd Edition, 1994. Kara, İmdat, Yöneylem Araştırması: Doğrusal Olmayan Modeller, Anadolu Üniversitesi Basımevi, 1986 M.S. Bazara, C.M.Shetty, Nonlinear Programming, John Wiley, New York, 1979
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Lecture,Questions/Answers,Problem Solving,Practice,Presentation
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 30 Quiz 1 10 Project 2 15 Total(%) 55 Contribution of In-term Studies to Overall Grade(%) 55 Contribution of Final Examination to Overall Grade(%) 45 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 1 14 14 Individual or group work 14 13 182 Preparation for Final exam 1 25 25 Course hours 14 3 42 Preparation for Midterm exam 1 25 25 Laboratory (including preparation) Final exam 1 2 2 Homework 1 14 14 Total Workload 306 Total Workload / 30 10,2 ECTS Credits of the Course 10
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No