| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Linear Algebra | MM108 | 2. Semester | 2 + 0 | 2.0 | 2.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | face to face |
| Course Coordinator |
Prof. Dr. İlhame AMİRALİ |
| Instructor(s) |
İlhame AMİRALİ |
| Assistants | |
| 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. |
| Learning Outcomes |
- Knows the concept of matrix, knows special matrices, knows the properties of matrices and performs arithmetic operations with matrices. - Knows the concept of inverse matrix, determines the inverse of the matrix by applying the elementary operations. - Know the concept of determinant, know the properties of determinant and benefit from them in solutions, - Knows the solution methods in Linear Equation Systems and knows how to solve problems. - Knows vector spaces and vector operations. - Knows the concept of eigenvalues. - Knows transformations in linear systems. |
| Week | Topics | Learning Methods |
|---|---|---|
| 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 |
| Course notes of the instructor |
| Sabuncuoğlu, A., Lineer Cebir, Nobel Yayınları, 2004 |
| Hacısalihoğlu, H., Lineer Cebir Gazi Üniversitesi Yayınları, 1985 |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 2 | 28 |
| Preparation, After Class Study | 1 | 10 | 10 |
| Research | 1 | 4 | 4 |
| Other Activities | 1 | 5 | 5 |
| Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Total Workload | 51 | ||
| ECTS Credit of the Course | 2.0 | ||
