1	Course Title:	MATRIX THEORY
2	Course Code:	INS2010
3	Type of Course:	Compulsory
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	6
8	Theoretical (hour/week):	4
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	None
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Prof. Dr. MURAT KANKAL
16	Course Lecturers:	-
17	Contactinformation of the Course Coordinator:	mkankal@uludag.edu.tr 0224 275 52 90
18	Website:
19	Objective of the Course:	To teach different solution methods of linear equation systems and eigenvalue eigenvector concepts with matrix theory.
20	Contribution of the Course to Professional Development	be able to solve engineering problems involving Linneer equation systems.

21

Learning Outcomes:

1 To be able to understand the solution of linear equation systems with Gauss elimination and Gauss-Jordan methods.; 2 To be able to understand the solution of linear equation systems with Cramer's Rule and Matrix inverse methods; 3 To be able to understand the solution of linear equation systems with the LU decomposition method.; 4 To be able to understand the solution of linear equation systems with Cholesky decomposition method.; 5 Be able to diagonalize a matrix; 6 Be able to understand the concepts of eigenvalues and eigenvectors;

22	Course Content:

Week	Theoretical	Practical
1	Solution of Systems of Linear Equations; Cramer's Rule.
2	Rank of a Matrix
3	Diagonalization, Cayley–Hamilton Theorem
4	Eigenvalues and Eigenvectors
5	Eigenvalues and Eigenvectors
6	Solution of Systems of Linear Equations; Matrix Inverse Method
7	Solution of Systems of Linear Equations; Gaussian Elimination Method.
8	Solution of Systems of Linear Equations; Gauss-Jordan Method.
9	LU decomposition
10	Obtaining inverse matrix with LU decomposition
11	Solution of Systems of Linear Equations; LU decomposition Method
12	Positive Defined Matrices
13	Cholesky decomposition
14	Solution of Systems of Linear Equations; Cholesky decomposition Method

23	Textbooks, References and/or Other Materials:	B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1
24	Assesment

TERM LEARNING ACTIVITIES	NUMBER	PERCENT
Midterm Exam	1	40
Quiz	0	0
Homeworks, Performances	0	0
Final Exam	1	60
Total	2	100
Contribution of Term (Year) Learning Activities to Success Grade		40
Contribution of Final Exam to Success Grade		60
Total		100
Measurement and Evaluation Techniques Used in the Course	Written exam
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	4	56
Practicals/Labs	0	0	0
Self Study and Preparation	14	8	112
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	3	3
Others	0	0	0
Final Exams	1	3	3
Total WorkLoad			174
Total workload/ 30 hr			5,8
ECTS Credit of the Course			6

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 5 0 0 0 0 0 0 0 0 0 0 0 LO2 5 0 0 0 0 0 0 0 0 0 0 0 LO3 5 0 0 0 0 0 0 0 0 0 0 0 LO4 5 0 0 0 0 0 0 0 0 0 0 0 LO5 5 0 0 0 0 0 0 0 0 0 0 0 LO6 5 0 0 0 0 0 0 0 0 0 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High