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 |
|