Rapor Tarihi: 24.02.2026 22:04
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Analysis III | MAE207 | Turkish | Compulsory | 3. Semester | 3 + 0 | 3.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ (Güz) |
| Goals | The purpose of the course is to be able to examine development of basic mathematical concepts and theoretical structure of storied integral calculus in hypervariable functions. |
| Course Content | Concepts of function of several variables, definition of function and value sets, function drawings. Limit concepts in two valued functions and applications, concepts of continuity. Partial derivative in two valued functions, chain rule, differential increase and linearization, |
| # | Öğrenme Kazanımı |
| 1 | Student will recognize hypervariable functions, find the domain and draw the graphs. |
| 2 | Students will learn how to define the concepts of limit for multivariable functions. |
| 3 | Students will learn how to define the concepts of continuity for multivariable functions |
| 4 | Students will learn how to define the concepts of derivative for multivariable functions |
| 5 | Students will learn how to function series |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Array concept and applications | Interview, Presentation (Preparation) |
| 2. Week | Array concept and applications | Interview, Presentation (Preparation) |
| 3. Week | Concept of series, series with positive terms, divergence and convergence in series, alternating series and convergence criteria for series, power series | Interview, Presentation (Preparation) |
| 4. Week | Concept of series, series with positive terms, divergence and convergence in series, alternating series and convergence criteria for series, power series | Interview, Presentation (Preparation) |
| 5. Week | Function series, point and smooth convergence in function series, generalized convergence tests, Taylor and Mac Laurin series and their applications in daily life. | Interview, Presentation (Preparation) |
| 6. Week | Function series, point and smooth convergence in function series, generalized convergence tests, Taylor and Mac Laurin series and their applications in daily life. | Interview, Presentation (Preparation) |
| 7. Week | Function series, point and smooth convergence in function series, generalized convergence tests, Taylor and Mac Laurin series and their applications in daily life. | Interview, Presentation (Preparation) |
| 8. Week | Midterm | |
| 9. Week | Fourier series | Interview, Presentation (Preparation) |
| 10. Week | Fourier series | Interview, Presentation (Preparation) |
| 11. Week | Topology of IRn | Interview, Presentation (Preparation) |
| 12. Week | Topology of IRn | Interview, Presentation (Preparation) |
| 13. Week | Directional derivative | Other Activities, Interview |
| 14. Week | Final | Other Activities, Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | They know and apply contemporary teaching methods and techniques, assessment and evaluation methods. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ | Vize | 50.00 | |
| Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ | Final | 50.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 13 | 2 | 26 |
|
Ders Dışı |
Preparation, After Class Study | 13 | 2 | 26 |
|
Sınavlar |
Midterm 1 | 1 | 10 | 10 |
| Quiz 1 | 1 | 4.5 | 4.5 | |
| Final | 1 | 10 | 10 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
