NUMERICAL METHODS AND OPTIMIZATION

CSE490

Course Code: CSE490
Semester: -
Theory+Practice: 3 + 1
ECTS: 5

Course Type

Elective Course

Course Level

Bachelor's Degree

Year of Study

Semester

ECTS

Name of Lecturer(s)

Learning Outcomes

At the end of this course, the students;

Learnconstraint and unconstraint optimization problems.
Learn linear, non-linear and square programming.
Learn various algorithms and applications.

Mode of Delivery

Face to face

Prerequisites

Recommended Optional Programme Components

None

Course Description

Constrained Optimization. Linear Programming. Lagrange Multipliers. Quadratic Programming. Non-linear Programming. Newton Methods. Conjugate Direction Methods. Linear and Nonlinear Least Squares Problems.

Course Contents

WEEK	TOPICS
1^st Week	Constrained Optimization.
2^nd Week	Linear Programming.
3^rd Week	Lagrange Multipliers.
4^th Week	Quadratic Programming.
5^th Week	Non-linear Programming.
6^th Week	Newton Methods.
7^th Week	Conjugate Direction Methods.
8^th Week	Mid-term
9^th Week	Linear and Nonlinear Least Squares Problems.
10^th Week	Linear and Nonlinear Least Squares Problems
11^th Week	Linear and Nonlinear Least Squares Problems
12^th Week	Linear and Nonlinear Least Squares Problems
13^th Week	Linear and Nonlinear Least Squares Problems
14^th Week	Linear and Nonlinear Least Squares Problems
15^th Week	General Review

Recommended or Required Reading

1. Fletcher R., Practical Methods of Optimization, 2/E, ISBN: 0471278289, J. Wiley, 2001
2. Bradie A., A Friendly Introduction to Numerical Analysis, 6/E, ISBN-13: 9780130130549, Pearson/Prentice Hall, 2006
3. Aktaş Z., Sayısal Çözümleme, ODTÜ Yayınları, 1991

Planned Learning Activities and Teaching Methods

Lecture
Questions/Answers
Problem Solving
Other

Assessment Methods and Criteria

	Quantity	Percentage (%)
Mid-term	1	30
Assignment	1	15
Quiz	5	15
Total(%)		60
Contribution of In-term Studies to Overall Grade(%)		60
Contribution of Final Examination to Overall Grade(%)		40
Total(%)		100

Language of Instruction

Turkish

Work Placement(s)

Programme Qualifications / Learning Outcomes

	LO1	LO2	LO3
K1	X	X	X
K2	X	X	X
K3	X	X	X
K4
K5
K6	X	X	X
K7	X	X	X
K8
K9
K10	X	X	X
K11	X	X	X