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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. OSMAN KOPMAZ
Instructor(s) of the Course Unit Assoc.Prof. GÜLSÜM YELİZ SAÇLI-Assist.Prof. SERKAN ÇAKMAK
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

CONTRIBUTION OF THE COURSE UNIT TO THE PROGRAMME LEARNING OUTCOMES

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 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
Total Workload of the Course Unit 77
Workload (h) / 25.5 3
ECTS Credits allocated for the Course Unit 3,0