| 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) Class Hours |
| 2. Week | Array concept and applications | Presentation (Preparation) Class Hours Interview |
| 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) Class Hours |
| 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) Class Hours |
| 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) Class Hours |
| 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. | Presentation (Preparation) Interview Class Hours |
| 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) Class Hours |
| 8. Week | Midterm | |
| 9. Week | Fourier series | Interview Presentation (Preparation) Class Hours |
| 10. Week | Fourier series | Interview Presentation (Preparation) Class Hours |
| 11. Week | Topology of IRn | Interview Presentation (Preparation) Class Hours |
| 12. Week | Topology of IRn | Class Hours Interview Presentation (Preparation) |
| 13. Week | Directional derivative | Interview Other Activities Class Hours |
| 14. Week | Final | Interview Other Activities Class Hours |
| 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 |
|
| 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 | ||
