LINEAR ALGEBRA PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT104	LINEAR ALGEBRA	3	3	3	5

GENERAL INFORMATION
Language of Instruction :	Turkish
Level of the Course Unit :	BACHELOR'S DEGREE, TYY: + 6.Level, EQF-LLL: 6.Level, QF-EHEA: First Cycle
Type of the Course :	Compulsory
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Prof. TARIK ÇAKAR
Instructor(s) of the Course Unit	Assist.Prof. NESLİHAN ÖZDEMİR
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	To define matrix operations such as addition, multiplication, inversion and to prove some of related properties; To teach to solve a system of linear equations by using matrices; To give the definitions of a vector space, subspace, base and dimension and to prove some of related theorems; And to give the defination of determinate founction and properties.
Contents of the Course Unit:	Matrices,matrix operation, Systems of linear equations and their solutions Vector spaces, subspaces, base and dimension, coordinate;

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)
Known the basic information about vectors.
Solve various technical problems in the framework of vectors.
Known the basic information about inner product spaces and solves various problems
Known matrices and does elementary operations.
Perform linear transformations.
Recognize determinants and make their calculations.
Solves linear systems using matrices and determinants.

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Group, Ring, Field, Vectors and Vector Spaces	-
2	-	Supspaces, Inner Product Spaces and Metric properties	-
3	-	Linear Independence, Basis, Dimension, Matrix Vector Spaces, Basis and Dimension of Matrices	-
4	-	Multiplication of Matrices, Transposition, Inverse Matrix, Special Matrices	-
5	-	Elementary Operations in Matrices and Their Applications	-
6	-	Trace and its properties, Coordinates and Transition matrix in vector spaces.	-
7	-	Linear transformations, Rank and kernel of linear transformation, Dimension theorem	-
8	-	MID-TERM EXAM	-
9	-	Relation between Linear transformations and matrices	-
10	-	Determinant function, Properties of a determinant function, Calculation of the determinant of a matrix	-
11	-	Adjoint matrix, Applications of determinant (linear independence, rank of matrix, cross product, mixed product)	-
12	-	Linear Equation Systems	-
13	-	Eigenvalues and eigenvectors of matrices, characteristic equation and polynomial,	-
14	-	Cayley Hamilton Theorem and Applications	-
15	-	FINAL EXAM	-
16	-	FINAL EXAM	-
17	-	FINAL EXAM	-

SOURCE MATERIALS & RECOMMENDED READING
Lineer Cebir,Prof.Dr.Salim YÜCE, PEGEM AKADEMİ,2015,
Lineer Cebir, Prof.Dr.Nuri KURUOĞLU, 19 Mayıs Üniversitesi Yayınları, 1996.

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gain sufficient knowledge in Mathematics, Science and Industrial Engineering.					4

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes and evaluates existing application areas in the field of Industrial Engineering and develops applications for their solutions.					4

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Analyzes a system, the components of that system, the process of that system, and designs the system by examining it in line with realistic constraints and goals.					4
2	Gains the ability to model and solve engineering problems.			2

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Identifies the problems that may be encountered in the field of industrial engineering and acquires the ability to choose and apply the appropriate method to be used in problem solving.			2
2	Selects and uses technical tools necessary for industrial engineering applications; uses information technologies effectively.				3
3	Designs experiments, conducts experiments, collects data, analyzes and interprets the results to examine problems in the field of industrial engineering.				3

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains the ability to work effectively within a team.					4
2	Works effectively individually and takes responsibility.					4

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Accesses the necessary information for a determined problem and searches for resources for this purpose.						5
2	Has the ability to follow all developments in the field of industrial engineering and constantly renew itself.					4

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Gains oral and written communication skills and speaks at least one foreign language.					4

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Has awareness of professional and ethical responsibility.				3
2	Has knowledge about the universal and social effects of industrial engineering applications and reaches solutions by being aware of the importance of an innovative approach in solving engineering problems.			2

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Lecture & In-Class Activities	14	2	28
Preliminary & Further Study	12	1	12
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	1	8	8
Project Work	0	0	0
Seminar	0	0	0
Internship	0	0	0
Technical Visit	0	0	0
Web Based Learning	0	0	0
Implementation/Application/Practice	0	0	0
Practice at a workplace	0	0	0
Occupational Activity	0	0	0
Social Activity	0	0	0
Thesis Work	0	0	0
Field Study	0	0	0
Report Writing	0	0	0
Final Exam	1	1	1
Preparation for the Final Exam	1	15	15
Mid-Term Exam	1	1	1
Preparation for the Mid-Term Exam	1	12	12
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	31	0	77