Rapor Tarihi: 13.04.2026 03:08
| 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 | |
| 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 | Improper integrals and types | |
| 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 |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Possesses theoretical and applied knowledge of the fundamental areas of mathematics (Analysis and Function Theory, Algebra and Number Theory, Geometry, Applied Mathematics, Topology and Foundations of Mathematics, and Mathematical Logic). | ✔ | |||||
| 2 | Explains the historical development of mathematical concepts, their relationship with other branches of science, and their application areas. | ✔ | |||||
| 3 | Defines mathematical problems, selects appropriate methods, and solves them using analytical/numerical techniques. | ✔ | |||||
| 4 | Constructs mathematical expressions with logical integrity and reaches conclusions using proof methods. | ✔ | |||||
| 5 | Formulates and interprets real-life problems by performing mathematical modeling. | ✔ | |||||
| 6 | Effectively uses information technologies and mathematical software in data analysis and computation processes. | ✔ | |||||
| 7 | Takes responsibility in individual or team work; plans and executes projects. | ✔ | |||||
| 8 | Follows current developments in their field; improves themselves with a lifelong learning awareness. | ✔ | |||||
| 9 | Expresses mathematical ideas verbally and in writing clearly and in accordance with academic rules. | ✔ | |||||
| 10 | Acts in accordance with professional and academic ethical values; acts with a sense of social responsibility. | ✔ | |||||
| 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 | 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 | ||
