| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Linear Algebra ILinear Algebra I | MAE203 | 3. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. ŞAHİN DANİŞMAN |
| Instructor(s) |
ŞAHİN DANİŞMAN |
| Assistants | |
| Goals | To improve the ability of abstract thinking, by intensifying the concepts of matrices and determinants and the solutions of systems of linear equations to create the basis for algebra classes. |
| Course Content | Matrices, Matrix operations, special type matrices; elementary row and column operations, echelone matrix, elementary matrix and the inverse of a matrix; rank of a matrix; determinant, properties of determinant function; systems of linear equations, solution tecniques (Gauss elimination, Gauss-Jordan reduction method, inverse matrix and Cramer method) |
| Learning Outcomes |
- The student knows how to find inverse of a given matrix. - The student solves system s of linear equations using matrices and determinants. - The student understands the relation between matrices and linear systems - The student applies solution techniques to linear equation systems - The student knows the relationship between rank of matrix, determinants and invertibility. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Matrices and matrix operations | Verbal Expression Course Hours |
| 2. Week | Matrix operations and matrix types | Course Hours Verbal Expression |
| 3. Week | Elementary row/column operations, Echelon matrix | Course Hours Verbal Expression |
| 4. Week | Linear combinations, Linear dependence and independence | Course Hours Verbal Expression |
| 5. Week | Determinants and properties | Course Hours Verbal Expression |
| 6. Week | Rank of a matrix | Course Hours Verbal Expression |
| 7. Week | Inverse of a matrix | Course Hours Verbal Expression |
| 8. Week | Midterm | |
| 9. Week | Systems of linear equations and the solution tecniques | Course Hours Verbal Expression |
| 10. Week | Gauss Elimination and Gauss-Jordan methods | Course Hours Verbal Expression |
| 11. Week | Gauss Elimination and Gauss-Jordan methods | Course Hours Verbal Expression |
| 12. Week | Using inverse matrix to solve linear equation systems | Course Hours Verbal Expression |
| 13. Week | Cramer method | Verbal Expression Course Hours |
| 14. Week | General evaluation | Course Hours Verbal Expression |
| Lineer Cebir- Salim Yüce-Anı |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| 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 | 13 | 2 | 26 |
| Preparation, After Class Study | 13 | 2 | 26 |
| Midterm 1 | 1 | 10 | 10 |
| Quiz 1 | 1 | 4.5 | 4.5 |
| Final | 1 | 10 | 10 |
| Total Workload | 76.5 | ||
| ECTS Credit of the Course | 3.0 | ||
