Akademik Dersler - Tanıtım


Code - Course Title	ENM325 - Theory and Algorithms in Nonlinear Programming
Course Type	Area Elective Courses
Language of Instruction	İngilizce
Laboratory + Practice	2+1
ECTS	5.0
Course Instructor(s)	DOÇENT DOKTOR GÜLÇİN DİNÇ YALÇIN
Mode of Delivery	Face to face
Prerequisites	Calculus 1, Calculus 2, Linear Algebra, Linear Programming
Courses Recomended	-
Required or Recommended Resources	F. S. Hillier & G. J. Lieberman, “Introduction to Operations Research, 9/e”, McGraw Hill, 2010. (Section 12)
Recommended Reading List	• Wayne L. Winston, “Operations Research, Applications and Algorithms”, 4th Edition, Duxbury Pres Thomson Learning, Inc., 2004.• İmdat Kara, “Yöneylem Araştırması Doğrusal Olmayan Modeller”, Anadolu Üniversitesi Yayınları No.139, Eskişehir 1986.• Hamdy A. Taha, “Operations Research: An Introduction”, 8th Edition, Prentice Hall, Upper Saddle River, N.J., 2007. LP Softwares (Gams, Lingo)
Assessment methods and criteria	2 Midterms, Assignments, Final
Work Placement	-
Sustainability Development Goals

Weeks	Topics
Week - 1	Introduction to Nonlinear Programming (NLP)
Week - 2	Convex sets
Week - 3	Convex and Concave Functions
Week - 4	One Variable Unconstraints Optimization Problems
Week - 5	Bisection Method to Solve One Variable Unconstraint NLP Models
Week - 6	Bisection Method to Solve One Variable Unconstraint NLP Models
Week - 7	Multi Variables Unconstraint Optimization Problems
Week - 8	Gradient Search Method to Solve Muşti Variable Unconstraint NLP Models
Week - 9	General Form of NLP Medol, Karush-Kuhn Tucker (KKT) Conditions
Week - 10	KKT Conditions for Equality Constraints and Inequality Constraint Problems
Week - 11	Introduction to Convex Programming
Week - 12	Introduction to Convex Programming
Week - 13	Frank-Wolfe Algorithm
Week - 14	Sequential Unconstrained Minimization Technique (SUMT)

Assessment Method and Passing Requirements
	Quamtity	Percentage (%)
1.Midterm Exam	1	30
Homework	1	30
Final Exam	1	40
Toplam (%)		100