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LINEAR ALGEBRA PROGRAMME COURSE DESCRIPTION

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