| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Analysis II | MAE104 | Turkish | Compulsory | 2. Semester | 3 + 0 | 3.0 | 5.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | |
| Goals | To learn multivariable functions, limit, continuity and derivative concepts and applications in multivariable functions, double integral concept and applications. |
| Course Content | Makes applications of definite integral. Knows the concept of multivariable function. Knows the concepts of limit and derivative in functions of two variables. Makes applications of limit and derivative in functions of two variables. Knows the concept of double integral. Makes the applications of double integral. |
| # | Öğrenme Kazanımı |
| 1 | Will be able to make sense of complex numbers and perform defined operations on these numbers. |
| 2 | Will be able to understand how trigonometric functions are defined in the context of real numbers. |
| 3 | Will be able to understand the Riemann sum. |
| 4 | Will be able to understand the relationship between the indefinite integral and the definite integral. |
| 5 | Will be able to apply integration methods. |
| 6 | will be able to examine the convergence of the series using convergence tests. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Area and volume calculations with definite integral, applications in various fields | Class Hours Interview |
| 2. Week | Area and volume calculations with definite integral, applications in various fields | Interview Class Hours |
| 3. Week | Multivariable function concept, function definition and value sets, function plots | Class Hours Interview |
| 4. Week | The concept of limit and its applications in functions of two variables, the concept of continuity | Class Hours Interview |
| 5. Week | The concept of limit and its applications in functions of two variables, the concept of continuity | Class Hours Interview |
| 6. Week | Partial derivative and geometric interpretation of functions of two variables | Class Hours Interview |
| 7. Week | Chain rule, differential increment and linearization, local extreme values | Class Hours Interview |
| 8. Week | Mid Term Exam | Other Activities |
| 9. Week | Chain rule, differential increment and linearization, local extreme values | Class Hours Interview |
| 10. Week | Absolute extreme values and applications | Class Hours Interview |
| 11. Week | Lagrange multipliers | Interview Class Hours |
| 12. Week | İki katlı integral kavramı | Interview Class Hours |
| 13. Week | Volume calculations with double integral | Interview Class Hours |
| 14. Week | Volume calculations with double integral | Interview Class Hours |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 27 | By using mathematical language and terminology correctly and effectively, the student has knowledge about the nature, source, historical development and limits of basic concepts and approaches and interprets their reflections in the field. | ✔ | |||||
| 30 | The student knows the context of technological pedagogical content knowledge for mathematics and has knowledge about how to use information and communication technologies in mathematics education and training. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 |
|---|---|---|---|---|---|---|
| PY27 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY30 | 5 | 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 | 14 | 4 | 56 |
|
Ders Dışı |
Interview | 1 | 0.5 | 0.5 |
| Presentation (Preparation) | 23 | 1 | 23 | |
| Other Activities | 14 | 2 | 28 | |
|
Sınavlar |
Midterm 1 | 1 | 10 | 10 |
| Final | 1 | 10 | 10 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 5.0 | ||
