| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analysis III | MAE207 | 3. Semester | 3 + 0 | 3.0 | 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) |
EMİNE NUR ÜNVEREN BİLGİÇ |
| Assistants | |
| 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, |
| Learning Outcomes |
- Student will recognize hypervariable functions, find the domain and draw the graphs. - Students will learn how to define the concepts of limit for multivariable functions. - Students will learn how to define the concepts of continuity for multivariable functions - Students will learn how to define the concepts of derivative for multivariable functions - Students will learn how to function series |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Array concept and applications | Course Hours Visual Presentation Verbal Expression |
| 2. Week | Array concept and applications | Course Hours Verbal Expression Visual Presentation |
| 3. Week | Concept of series, series with positive terms, divergence and convergence in series, alternating series and convergence criteria for series, power series | Verbal Expression Visual Presentation Course Hours |
| 4. Week | Concept of series, series with positive terms, divergence and convergence in series, alternating series and convergence criteria for series, power series | Visual Presentation Verbal Expression Course 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. | Course Hours Verbal Expression Visual Presentation |
| 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. | Course Hours Verbal Expression Visual Presentation |
| 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. | Course Hours Verbal Expression Visual Presentation |
| 8. Week | Midterm | |
| 9. Week | Fourier series | Course Hours Verbal Expression Visual Presentation |
| 10. Week | Fourier series | Verbal Expression Course Hours Visual Presentation |
| 11. Week | Topology of IRn | Visual Presentation Verbal Expression Course Hours |
| 12. Week | Topology of IRn | Verbal Expression Visual Presentation Course Hours |
| 13. Week | Directional derivative | Course Hours Verbal Expression Other Activities |
| 14. Week | Final | Verbal Expression Course Hours Other Activities |
| Genel Matematik 2-Mustafa Balcı-Palme |
| 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 | ||
