| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Linear Algebra and Its Applications | IME 510 | 0 | 3 + 0 | 3 | 6 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | yuksek_lisans |
| Course Type | Optional |
| Course Coordinator | Prof.Dr. MELEK MASAL |
| Course Lecturers | Dr.Öğr.Üyesi AYŞE ZEYNEP AZAK, |
| Course Assistants | Res.Asst.Emine Nur BİLGİÇ |
| Course Category | Available Basic Education in the Field |
| Course Objective | Demonstrate the applications of mathematics by making it easier and more enjoyable though which contains the most important concepts of mathematics language and the most basic tools in every area of mathematics and engineering. |
| Course Content | Definition of Linear Algebra, Foundations of Linear Algebra, History of Linear Algebra, Vectors and its applications in Linear Algebra, Vector space and its applications in Linear Algebra, Inner product space in Linear Algebra and its applications, Matrices in Linear Algebra, Determinant in Linear Algebra and its applications, Modules in Linear Algebra and its applications, Linear equations systems in Linear Algebra and its applications, Characteristic values in Linear Algebra, Characteristic vectors and their applications in Linear Algebra, Some special transformations in Linear Algebra. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Explain the matrices and linear equations systems | Lecture, Question-Answer, | Homework, Performance Task, |
| 2 | Express the solution of linear equations systems that solved by elementary operations and solve this method | Lecture, Question-Answer, | Homework, Performance Task, |
| 3 | Express the solution of linear equations systems that solved by Gauss-Jordan method and solve this method | Lecture, Question-Answer, | Homework, Performance Task, |
| 4 | Explain the vector spaces and their properties. | Lecture, Question-Answer, | Homework, Performance Task, |
| 5 | Express and apply the concepts of linear independence, linear dependence, basis, dimension. | Lecture, Question-Answer, | Homework, Performance Task, |
| 6 | Express and apply the rank of matrice. | Lecture, Question-Answer, | Homework, Performance Task, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Definition of Linear Algebra | |
| 2 | Foundations of Linear Algebra | |
| 3 | History of Linear Algebra | |
| 4 | Vectors and its applications in Linear Algebra | |
| 5 | Vector space and its applications in Linear Algebra | |
| 6 | Inner product space in Linear Algebra and its applications | |
| 7 | Matrices in Linear Algebra | |
| 8 | Determinant in Linear Algebra and its applications | |
| 9 | Midterm Exam | |
| 10 | Modules in Linear Algebra and its applications | |
| 11 | Linear equations systems in Linear Algebra and its applications | |
| 12 | Characteristic values in Linear Algebra | |
| 13 | Characteristic vectors and their applications in Linear Algebra | |
| 14 | Some special transformations in Linear Algebra |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 4 | 64 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 10 | 10 |
| Performance Task (Application) | 3 | 5 | 15 |
| Total Workload | 147 | ||
| Total Workload / 25 (Hours) | 5.88 | ||
| dersAKTSKredisi | 6 | ||