Information Package / Course Catalogue
Matrix Algebra
Course Code: BİS539
Course Type: Area Elective
Couse Group: Second Cycle (Master's Degree)
Education Language: Turkish
Work Placement: N/A
Theory: 2
Prt.: 0
Credit: 2
Lab: 0
ECTS: 4
Objectives of the Course

The aim of the course is to make students aware of systems of linear equations and their solutions.

Course Content

Systems of linear equations, their applications, and solutions; matrix operations, inverses and determinants of matrices; linear independence, the rank of a matrix, and the Gram-Schmidt process, eigenvalues, eigen-vectors, singular value decomposition.

Name of Lecturer(s)
Learning Outcomes
1.To know the concept of matrix and matrix types
2.Learning the determinant calculation and its properties
3.To be able to calculate eigenvalues of matrices and eigenvectors corresponding to these eigenvalues
4.To know the matrix functions and calculate some norms of the matrix
5.Know the Solution of linear equations by using matrix algebra
Recommended or Required Reading
Weekly Detailed Course Contents
Week 1 - Theoretical
Matrix calculations
Week 2 - Theoretical
The inverse and determinant of the matrix
Week 3 - Theoretical
Linear independency
Week 4 - Theoretical
Orthogonality
Week 5 - Theoretical
The process of Gram-Schimdt-1
Week 6 - Theoretical
The process of Gram-Schimdt-2
Week 7 - Theoretical
Eigenvalue-Eigenvector
Week 8 - Intermediate Exam
Midterm exam
Week 9 - Theoretical
Decomposition of eigenvalue and eigenvector-1
Week 10 - Theoretical
Decomposition of eigenvalue and eigenvector-2
Week 11 - Theoretical
Singular values
Week 12 - Theoretical
Singular value decomposition
Week 13 - Theoretical
Linear equation systems
Week 14 - Theoretical
The application and solutions of linear eguation systems
Week 15 - Theoretical
Literature review and discussion
Week 16 - Final Exam
Final exam
Assessment Methods and Criteria
Type of AssessmentCountPercent
Midterm Examination1%40
Final Examination1%60
Workload Calculation
ActivitiesCountPreparationTimeTotal Work Load (hours)
Lecture - Theory140228
Assignment110010
Quiz102130
Midterm Examination110212
Final Examination120222
TOTAL WORKLOAD (hours)102
Contribution of Learning Outcomes to Programme Outcomes
PÇ-1
PÇ-2
PÇ-3
PÇ-4
PÇ-5
PÇ-6
PÇ-7
PÇ-8
PÇ-9
PÇ-10
OÇ-1
OÇ-2
OÇ-3
OÇ-4
OÇ-5
3
3
4
4
2
2
3
2
3
3
Adnan Menderes University - Information Package / Course Catalogue