| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Linear Algebra | MM108 | Turkish | Compulsory | 2. Semester | 2 + 0 | 2.0 | 2.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | face to face |
| Course Coordinator | Prof. Dr. İlhame AMİRALİ |
| Instructor(s) | |
| Goals | The aim of this course is to teach the solution methods of Linear Equation Systems, matrices and matrix operations, determinants, rank, eigenvalues and eigenvectors, transformations in two-dimensional space, vector spaces and linear transformation methods. |
| Course Content | Properties of matrices, operations in matrices, properties and processes of determinants, solution methods of linear equations systems: Cramer's method, inverse matrix, Gauss elimination method, Gauss-Jordan elimination method. The rank of matrix, properties and operations of vectors, linear transformations, eigenvalues and eigenvectors, Linear Composition, Linear Dependency / Independence. |
| # | Öğrenme Kazanımı |
| 1 | Knows the concept of matrix, knows special matrices, knows the properties of matrices and performs arithmetic operations with matrices. |
| 2 | Knows the concept of inverse matrix, determines the inverse of the matrix by applying the elementary operations. |
| 3 | Know the concept of determinant, know the properties of determinant and benefit from them in solutions, |
| 4 | Knows the solution methods in Linear Equation Systems and knows how to solve problems. |
| 5 | Knows vector spaces and vector operations. |
| 6 | Knows the concept of eigenvalues. |
| 7 | Knows transformations in linear systems. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Introduction to Linear Equation Systems and Basic Concepts | |
| 2. Week | Introduction to matrices, properties of matrices, addition, subtraction and multiplication in matrices | |
| 3. Week | Elementary Operations in Matrices, Inverse of Matrices | |
| 4. Week | Sample applications about matrices, determinants and their properties | |
| 5. Week | Calculation of determinants, sample applications on the subject. | |
| 6. Week | Solution Methods of Linear Equation Systems: Cramer Method | |
| 7. Week | Solution Methods of Linear Equation Systems: Gauss Elimination Method | |
| 8. Week | midterm | |
| 9. Week | Solution Methods of Linear Equation Systems: Gauss-Jordan Elimination Method | |
| 10. Week | Rank and calculation of matrices. | |
| 11. Week | Introduction to vectors, vector operations, Linear Dependency / Independence | |
| 12. Week | Linear Composition | |
| 13. Week | Eigenvalues-eigenvectors | |
| 14. Week | Eigenvalues-Eigenvectors sample question solutions |
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 2 | 28 |
|
Ders Dışı |
Preparation, After Class Study | 1 | 10 | 10 |
| Research | 1 | 4 | 4 | |
| Other Activities | 1 | 5 | 5 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 | |
| Total Workload | 51 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 2.0 | ||
