| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Analysis III | MAT211 | 3. Semester | 4 + 2 | 5.0 | 7.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. Merve İLKHAN KARA |
| Instructors |
Mehmet Zeki SARIKAYA |
| Assistants | |
| Goals | To give convergence theorems for function sequences and series with power series, and to calculate their derivatives and integrals. Learning generalized integral types. Defining multivariable functions and defining their limits, continuity and partial derivatives. |
| Course Content | Function sequences; Point and uniform convergence; Function series; Power series; Generalized integrals; Vector valued functions; Multivariable functions. |
| Learning Outcomes |
- Student’s ability of commenting and thinking truely will improve and the students will gain basic information associated with mathematic |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Pointwise and uniform convergence of function sequences | |
| 2. Week | Uniform convergence | |
| 3. Week | Relations of uniform convergence with integral and derivative | |
| 4. Week | Convergence of function series | |
| 5. Week | Power series and radius of convergence | |
| 6. Week | Derivatives and integrals of power series | |
| 7. Week | Improper integrals and types | |
| 8. Week | Midterm | |
| 9. Week | Vector functions, Limits and continuity | |
| 10. Week | Derivatives of vector valued functions and geometric interpretation | |
| 11. Week | Multivariable functions | |
| 12. Week | Limits and Continuity of functions of several variable | |
| 13. Week | Partial derivatives and the chain rule | |
| 14. Week | Maximums and minimums, geometric meaning of partial derivative |
| Mathematical Analysis II, Mustafa Balcı |
| Analysis II, Binali Musayev, Murat Alp, Nizami Mustafayev |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | 60 |
| PY2 | 5 | 5 | 60 |
| PY3 | 3 | 3 | 60 |
| PY4 | 1 | 1 | 60 |
| PY5 | 1 | 1 | 60 |
| PY6 | 2 | 2 | 60 |
| PY7 | 4 | 4 | 60 |
| PY8 | 5 | 5 | 60 |
| PY9 | 1 | 1 | 60 |
| PY10 | 5 | 5 | 60 |
| PY11 | 1 | 1 | 60 |
| PY12 | 5 | 5 | 60 |
| PY13 | 2 | 2 | 60 |
| PY14 | 1 | 1 | 60 |
| PY15 | 1 | 1 | 60 |
| 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 | 14 | 6 | 84 |
| Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2.5 | 2.5 |
| Practice | 15 | 2 | 30 |
| Practice End-Of-Term | 15 | 2 | 30 |
| Classroom Activities | 15 | 2 | 30 |
| Total Workload | 178.5 | ||
| ECTS Credit of the Course | 7.0 | ||
