LINEAR ALGEBRA PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH104	LINEAR ALGEBRA	2	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	Assist.Prof. PERİ GÜNEŞ
Instructor(s) of the Course Unit
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	Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.				3

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.					4

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate model related to electrical and electronics under reasonable constraints.				3
2	Designs a model related to electrical and electronics with modern techniques.					4

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of electrical and electronics engineering science applications and develops appropriate solutions.				3
2	Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.					4
3	Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.					4

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.				3
2	Possess the ability to conduct effective individual study.					4
3	Takes responsibility as a team work and contributes in an effective way.				3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.					4
2	Develops positive attitude towards lifelong learning.				3

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Communicates effectively by oral and/or written form and uses at least one foreign language.					4
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.				3

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess professional and ethical responsibility and willingness to share it.					4
2	Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.					4

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