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. TURGAY DAĞTEKİN
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	Students can evaluate and apply the knowledge that is gained from lecture notes, application tools and visual and objective sources that support basic theoretical and practical courses,		1
2	They can monitor patient follow-up and, if necessary, they can apply appropriate drugs to the cardiopulmonary bypass system under the supervision of specialist doctors and anesthesiologist		1

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can make installation and applications on Heart-lung machines and other equipment		1
2	They can make the necessary applications in situations requiring first aid.		1

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Being well-aware of their individual responsibilities within the team, they can analyze the data related to patients and produces results.			2

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can make all the practices relevant to perfusion in accordance with perfusion techniques		1

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Being well-aware of their individual responsibilities within the team, they can fulfill their tasks completely.					4

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can update their Perfusion-related knowledge, skills and competencies with the self-awareness of a lifelong learning and move further in their personal and professional fields.						5

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can communicate effectively, informative and ethically with patients, relatives and with other health professionals.					4

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	They can make the preparation and application of the Heart-Lung machine and other auxiliary equipment		1
2	Compatible with Team work, individual responsibility can be fulfilled.					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	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