LINEAR ALGEBRA PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MAT104	LINEAR ALGEBRA	5	3	3	6

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 :	Elective
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Assist.Prof. DENİZ YILDIZ
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)
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	Has the basic information on the science of language and speech in order to identify and interpret necessary approaches for his/her patients.

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Identifies the main phenomenons, principles, processes and practices of language and speech science, explains the methods in the field and makes a basic level of analysis and evaluation.

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Has the ability to plan a proper language and speech therapy program via his/her theoretical and practical knowledge.

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	To prepare the language and speech therapy profession according to ethical rules, assimilate the multidisciplinary approach, to prepare the necessary screening programs for healthy and / or problem groups in accordance with contemporary medical rules, to evaluate the patients with language and speech disorders, to identify the problems, and to find appropriate re / habilitation programs have the skills to prepare, determine the necessary tools and apply them.

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Collaborates with main medical fields.
2	Evaluates and interprets the problems about language and speech disorder of his/her patients guided by relevant specialist, asks consultation from other departments in case of need.

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	In addition to measuring the effectiveness, continuity and quality of the services related to language and speech therapy, it also conducts training and practice studies on language and speech science.

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Performs his/her duties of expertise in the eyes of judicial authorities and private and government agencies.

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Enables the development of professional standards and policies, determines planning and execution of the assessment and rehabilitation approaches, identifies the efficient applications of new knowledge-based methods and programs and contributes to improve professional and technical standarts.

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