| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Analysis III | MAT223 | Turkish | Compulsory | 3. Semester | 4 + 2 | 5.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Prof. Dr. Mehmet Zeki SARIKAYA |
| Instructor(s) | Prof. Dr. Mehmet Zeki SARIKAYA (Güz) |
| 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. |
| # | Öğrenme Kazanımı |
| 1 | Student’s ability of commenting and thinking truely will improve and the students will gain basic information associated with mathematic |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Pointwise and uniform convergence of function sequences | Class Hours |
| 2. Week | Uniform convergence | Class Hours |
| 3. Week | Relations of uniform convergence with integral and derivative | Class Hours |
| 4. Week | Convergence of function series | Class Hours |
| 5. Week | Power series and radius of convergence | Class Hours |
| 6. Week | Derivatives and integrals of power series | Class Hours |
| 7. Week | Improper integrals and types | Class Hours |
| 8. Week | Midterm | Class Hours |
| 9. Week | Vector functions, Limits and continuity | Class Hours |
| 10. Week | Derivatives of vector valued functions and geometric interpretation | Class Hours |
| 11. Week | Multivariable functions | Class Hours |
| 12. Week | Limits and Continuity of functions of several variable | Class Hours |
| 13. Week | Partial derivatives and the chain rule | Class Hours |
| 14. Week | Maximums and minimums, geometric meaning of partial derivative | Class Hours |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines, | ✔ | |||||
| 2 | Knowing how to obtain information geared towards lifelong learning, | ✔ | |||||
| 3 | Doing effective educational planning, organizing and evaluating based on theoretical and practical content matter and in relation to the needs of the learners, | ✔ | |||||
| 4 | Utilizing educational technologies in a variety of educational settings, | ✔ | |||||
| 5 | Analyzing studies in the field with a scientific perspective, assessing the findings and offering solutions, | ✔ | |||||
| 6 | Acquiring academic literacy and minimum B1 level competence at a foreign language in order to pursue the global developments in the area of study, | ✔ | |||||
| 7 | Pursuing the scientific discussions in the field and interpreting them through scientific examination, | ✔ | |||||
| 8 | Forming scientific study platforms in order to solve the problems in practice, | ✔ | |||||
| 9 | Preparing and conducting solution-based projects in response to social problems in an effort to contribute to the School-Society collaboration | ✔ | |||||
| 10 | Following the developments in the field through professional activities such as literature reviews, seminars, conferences and workshops, and sharing them with other expert and non-expert individuals, | ✔ | |||||
| 11 | Being an innovative and self-confident intellectual with a sense of society, environment, social justice and respect for ethical values. | ✔ | |||||
| 12 | To be able to analyse the notions and ideas in the field by using scientific methods, to identify problems, and to develop solutions based on proofs and researches | ✔ | |||||
| 13 | To be able to gain ability of doing academic research | ✔ | |||||
| 14 | To be able to work interactively | ✔ | |||||
| 15 | To be able gain necessary computer software for further studies | ✔ | |||||
| Program Requirements | DK1 |
|---|---|
| PY1 | 5 |
| PY2 | 5 |
| PY3 | 3 |
| PY4 | 1 |
| PY5 | 1 |
| PY6 | 2 |
| PY7 | 4 |
| PY8 | 5 |
| PY9 | 1 |
| PY10 | 5 |
| PY11 | 1 |
| PY12 | 5 |
| PY13 | 2 |
| PY14 | 1 |
| PY15 | 1 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Güz Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Mehmet Zeki SARIKAYA | Vize | 25.00 | |
| Prof. Dr. Mehmet Zeki SARIKAYA | Vize 2 | 25.00 | |
| Prof. Dr. Mehmet Zeki SARIKAYA | Final | 50.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 6 | 84 |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Final | 1 | 2.5 | 2.5 | |
| Practice | 12 | 2 | 24 | |
| Practice End-Of-Term | 12 | 2 | 24 | |
| Classroom Activities | 15 | 1 | 15 | |
| Total Workload | 151.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
