| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Linear Algebra I | MAT221 | 3. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. ZAKİR DENİZ |
| Instructors |
ZAKİR DENİZ |
| Assistants | |
| Goals | To understand the basic concepts of vector space and matrices and solutions of linear equations |
| Course Content | Linear equations systems;The solving linear equations by the rule of Gauss; Matrices and elementary row operations; The solving of a linear equations system by the elemantary row operations, inverse of a matrix; Vector space and supspace; Base and dimension; Direct sum of supspace; Rank of a matrix; Coordinates and mapping matrix in the between of bases; Linear mappings ; Value space and kernel ; The matrix represantation of linear mapping |
| Learning Outcomes |
- Student’s ability of commenting and thinking truely will improve and the students will gain basic information associated with mathematic |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Introduction(Group, ring. field) | |
| 2. Week | Operations and vectors in Rn and Cn | |
| 3. Week | ttt | |
| 4. Week | Findings of solutions of linear equation systems by Gauss method | |
| 5. Week | Matrices and operations on matrices | |
| 6. Week | Finding the inverse of solution matrices of equation systems with elementary operations | |
| 7. Week | Vector spaces and subspaces | |
| 8. Week | midterm exam | |
| 9. Week | Base and dimension | |
| 10. Week | Direct sum of supspace | |
| 11. Week | Rank of a matrix | |
| 12. Week | Coordinates and mapping matrix in the between of bases | |
| 13. Week | Linear mappings | |
| 14. Week | The presence of the value space and the kernel |
| 2.Linear Algebra .Hofman KUNZE |
| 3. Linear Algebra with application,Bernard Kolman,DavidR.Hill |
| 1.Schaum’s outlıne series Theory and problems LINEAR ALGEBRA |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | 60 |
| PY2 | 3 | 3 | 60 |
| PY3 | 1 | 1 | 60 |
| PY4 | 1 | 1 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 2 | 2 | 60 |
| PY7 | 2 | 2 | 60 |
| PY8 | 2 | 2 | 60 |
| PY9 | 1 | 1 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 2 | 2 | 60 |
| PY14 | 2 | 2 | 60 |
| PY15 | 1 | 1 | 60 |
| 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 | 4 | 56 |
| Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2 | 2 |
| Practice | 15 | 1 | 15 |
| Practice End-Of-Term | 15 | 2 | 30 |
| Classroom Activities | 15 | 1 | 15 |
| Total Workload | 120 | ||
| ECTS Credit of the Course | 5.0 | ||
