1	Course Title:	PHYSICAL LINEAR ALGEBRA
2	Course Code:	MAT2495
3	Type of Course:	Optional
4	Level of Course:	First Cycle
5	Year of Study:	2
6	Semester:	3
7	ECTS Credits Allocated:	7
8	Theoretical (hour/week):	3
9	Practice (hour/week) :	2
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. EMRULLAH YAŞAR
16	Course Lecturers:	Fen-Edebiyat Fakültesi Matematik bölümü tüm öğretim üyeleri
17	Contactinformation of the Course Coordinator:	e-posta:eyasar@uludag.edu.tr Telefon:0224 2941768 Adres:U.Ü Fen-Edb. Fak. Mat. Böl. B102 Görükle Bursa
18	Website:
19	Objective of the Course:	The aim of this course to give to the physics students the knowledge about matrices which the need in their undergraduate and postgraduate studies
20	Contribution of the Course to Professional Development	Gain the background to follow new developments in the field of linear algebra

21

Learning Outcomes:

1 Learns general concepts of linear algebra.; 2 Learns matrix definitions and basic matrix operations.; 3 Learns determinants.; 4 Learns matrix inversion operation.; 5 Understands the matrix’s rank concept.; 6 Learns how to solve various types of linear equations systems.; 7 Understands the eigen value and eigen vector concepts.;

22	Course Content:

Week	Theoretical	Practical
1	Matrix definitions, matrix summation and substraction.	Problem solving.
2	Matrix multiplication.	Problem solving.
3	Special matrices, matrix tranpozation, matrix decomposition.	Problem solving.
4	Determinants,Laplace’s expansion, Cramer’s rule.	Problem solving.
5	Rank of a matrix, rank properties.	Problem solving.
6	Matrix inversion, properties of inverse matrices.	Problem solving.
7	Solutions of systems of linear equations, homogeneous systems of linear equations.	Problem solving.
8	Inhomogeneous systems of linear equations.	Problem solving.
9	Matrix forms.	Repeating courses and midterm exam
10	Characteristic equation of a matrix.	Problem solving.
11	Eigen values of a matrix.	Problem solving.
12	Eigen vectors of a matrix.	Problem solving.
13	Matrix diagonalization.	Problem solving.
14	Matrix diagonalization (continued).	Problem solving.

23	Textbooks, References and/or Other Materials:	1) Linear Algebra I,II. Prof.Dr.H.Hilmi Hacısalihoğlu 2)Linear Algebra, Prof.Dr.Feyzi Başar
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	To ask questions about the subject during the lesson and to wait for a certain period of time to determine the level of the students. Creating a discussion environment (question and answer) among students in order to understand the subject
Information

25

ECTS / WORK LOAD TABLE

Activites	NUMBER	TIME [Hour]	Total WorkLoad [Hour]
Theoretical	14	3	42
Practicals/Labs	14	2	28
Self Study and Preparation	14	5	70
Homeworks, Performances	0	0	0
Projects	0	0	0
Field Studies	0	0	0
Midtermexams	1	6	6
Others	14	4	56
Final Exams	1	8	8
Total WorkLoad			216
Total workload/ 30 hr			7
ECTS Credit of the Course			7

26	CONTRIBUTION OF LEARNING OUTCOMES TO PROGRAMME QUALIFICATIONS
PQ1 PQ2 PQ3 PQ4 PQ5 PQ6 PQ7 PQ8 PQ9 PQ10 PQ11 PQ12 LO1 5 5 5 0 0 5 4 0 5 5 0 0 LO2 3 3 2 0 0 3 3 0 2 3 0 0 LO3 5 5 4 0 0 5 3 0 3 3 0 0 LO4 5 5 5 0 0 5 3 0 3 4 0 0 LO5 5 5 5 0 0 5 3 0 3 4 0 0 LO6 5 5 5 0 0 4 2 0 2 2 0 0 LO7 5 5 5 0 0 4 2 0 3 3 0 0

LO: Learning Objectives

PQ: Program Qualifications

Contribution Level:

1 Very Low

2 Low

3 Medium

4 High

5 Very High