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. AHMAD RESHAD NOORI |
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 |
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 |
Consider the formal systems used in civil engineering and discusses different method
|
|
|
|
|
4 |
|
SKILLS |
Cognitive |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Civil engineering design for the project presentation to the correct expression is the formnül
|
|
|
|
|
|
5 |
OCCUPATIONAL |
Autonomy & Responsibility |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
Able to work independently in the field of civil engineering in the production and take responsibility for these issues
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Learning to Learn |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
As a requirement of civil engineering monitors current changes.
|
0 |
|
|
|
|
|
OCCUPATIONAL |
Communication & Social |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
As an individual becomes aware of social and professional responsibility.
|
|
1 |
|
|
|
|
OCCUPATIONAL |
Occupational and/or Vocational |
|
Programme Learning Outcomes |
Level of Contribution |
0 |
1 |
2 |
3 |
4 |
5 |
1 |
The powers and responsibilities of civil engineering and construction management takes place within.
|
0 |
|
|
|
|
|
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 |
|
Total Workload of the Course Unit |
125 |
|
|
Workload (h) / 25.5 |
4,9 |
|
|
ECTS Credits allocated for the Course Unit |
5,0 |
|