LINEAR ALGEBRA PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH104	LINEAR ALGEBRA	3	3	3	5

GENERAL INFORMATION
Language of Instruction :	English
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. OSMAN KOPMAZ
Instructor(s) of the Course Unit	Assist.Prof. AHMED ZAKI MAHAMED AMIN AHMED ZAKI MAHAMED AMIN-Assist.Prof. MEHMET ARSLAN
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)
Explains the basic information about vectors.(Knowledge, Blooms' 1)
Solves various technical problems in the framework of vectors.(Apply, Blooms' 3)
Explains the basic information about inner product spaces and solves various problems. (Knowledge, Blooms' 1)
Explains matrices and uses elementary operations.(Knowledge, Blooms' 1)
Relates linear transformations to matrices.(Understand, Blooms' 2)
Recognizes determinants and make their calculations.(Knowledge, Blooms' 1)
Solves linear systems by using matrices and determinants.(Apply, Blooms' 3)

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

SOURCE MATERIALS & RECOMMENDED READING
Arif Sabunc uoğluLineer Cebir

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	Ability to apply mathematics, science and engineering knowledge.						5

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to apply mathematics, science and engineering knowledge.						5

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to design experiments, conduct experiments, collect data, analyze and interpret results.	0

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	A system, product or process has economic, environmental, social, political, ethical, health and safety, under realistic constraints and conditions such as feasibility and sustainability, Ability to design to meet requirements.		1

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to work in teams with different disciplines		1

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Ability to identify, formulate and solve engineering problems					4

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Awareness of having professional and ethical responsibilities.		1
2	Ability to communicate effectively verbally and in writing.			2

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	The ability to have a comprehensive education to understand the impact of engineering solutions on global and social dimensions.	0
2	Awareness of the necessity of lifelong learning and the ability to do so.		1
3	The ability to have knowledge about current/contemporary issues.			2
4	Ability to use the techniques required for engineering applications and modern engineering and calculation equipment.				3

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	3	42
Preliminary & Further Study	14	1	14
Land Surveying	0	0	0
Group Work	0	0	0
Laboratory	0	0	0
Reading	0	0	0
Assignment (Homework)	0	0	0
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	2	2
Preparation for the Final Exam	1	35	35
Mid-Term Exam	1	2	2
Preparation for the Mid-Term Exam	1	30	30
Short Exam	0	0	0
Preparation for the Short Exam	0	0	0
TOTAL	32	0	125