1	Course Title:	MATRIX THEORY
2	Course Code:	MAT2018
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	4
7	ECTS Credits Allocated:	4
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	0
10	Laboratory (hour/week) :	0
11	Prerequisites:	-
12	Recommended optional programme components:	None
13	Language:	Turkish
14	Mode of Delivery:	Face to face
15	Course Coordinator:	Dr. Ögr. Üyesi SETENAY DOĞAN
16	Course Lecturers:	Yrd.Doç.Dr.Nisa Çelik
17	Contactinformation of the Course Coordinator:	setenay@uludag.edu.tr 0224 2941763 U.Ü. Fen Edebiyat Fakültesi Matematik Bölümü Nilüfer BURSA
18	Website:
19	Objective of the Course:	The aim of the course is to introduce the matrix and some special types of matrix, computing the matrix expansions finding the inverse matrix defining some special matrices LU decompozition method to find the inverse of matrix. Cryptography and applications
20	Contribution of the Course to Professional Development

21

Learning Outcomes:

1 Knows the definition of the matrix and some special types of matrices.; 2 Knows determinant and transpose matrix calculation.; 3 Knows the cyrptology.; 4 Knows that the upper and lower triangular matrix and calculating the definition.;

22	Course Content:

Week	Theoretical	Practical
1	Matrix definition and basic properties
2	Matrices of determinant calculation method
3	Calculation of transpoze matrix
4	Calculation of inverse matrix
5	Some special types of matrix and applications.
6	LU decompozition
7	Obtain the inverse matrix with LU decompozition
8	Solution of linear system of equations with LU decomposition
9	LLT decomposition and solutions of systems of equations
10	Midterm exam and general review
11	Cholesky method and solutions of of systems of equations
12	Cryptology
13	Caesars cryptology method
14	Hill Cryptology method and applications

23	Textbooks, References and/or Other Materials:	Theory of matrices. Sam Perlis
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
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	0	0	0
Self Study and Preparation	0	0	0
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	10	10
Others	14	4	56
Final Exams	1	12	12
Total WorkLoad			120
Total workload/ 30 hr			4
ECTS Credit of the Course			4

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 LO1 0 0 0 4 0 0 0 0 0 0 LO2 0 0 2 0 0 0 0 0 0 0 LO3 3 0 0 1 0 0 0 0 0 0 LO4 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