Course Information

Course Name	Turkish	Numerical Methods in Optimiz.
	English	Numerical Methods in Optimiz.
Course Code	KOM 507E	Credit	Lecture (hour/week)	Recitation (hour/week)	Laboratory (hour/week)
Semester	1	3	3	-	-
Course Language		English
Course Coordinator		Müjde Güzelkaya
Course Objectives		To provide the definitions and the basic concepts related to optimization problem To teach the unconstrained optimization methods ( line search and curve fitting methods). To teach the constrained optimization methods(primal methods, penalty and barrier methods). To gain experience about application of the optimization methods in optimal control.
Course Description		Definitions and basic concepts related to optimization problem (classification, algorithms, convergence, necessary and sufficient conditions for extremum, convexity etc.).Unconstrained optimization methods: line search methods (such as Fibonacci, golden section, Hooke and Jeeves, etc). Curve fitting methods (such as Davidon-Fletcher-Powell, Fletcher-Reeves, Newton, etc). Constrained Optimization methods: primal methods, penalty and barrier methods. Numerical application methods in optimal control theory (two-point boundary value problem and Riccati equation)
Course Outcomes		The basic concepts related to optimization problem The unconstrained optimization methods The line search methods The curve fitting methods
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