Rapor Tarihi: 13.04.2026 03:08
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Analysis II | MAT124 | Turkish | Compulsory | 2. Semester | 4 + 2 | 5.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Lecturing |
| Course Coordinator | Prof. Dr. İlhame AMİRALİ |
| Instructor(s) | Prof. Dr. İlhame AMİRALİ (Bahar) |
| Goals | To provide students the information aboutthe concept of integration, integration techniques, the applications of integrals, sequences and series. |
| Course Content | Indefinite Integrals, Integral Methods (Changes of Variables, Integration by Parts, Reduction Formulas), Binom Integral and Its Properties, The Integral of Root Funcitons, Introduction to Definite Integral, The Integral of Step Functions, The Riemann Integral and Its Properties, Fundamental Theorem of Integral and Other Theorems,The Application of Definite Integrals (Area, Arc-Length and Volume Calculations), Series, The Concepts of Convergence and Divergence of Series, Convergence Tests, |
| # | Öğrenme Kazanımı |
| 1 | Be able to understand the fundemental principal of continuity |
| 2 | Be able to use continuity in real life applications |
| 3 | Be able to understand derivation |
| 4 | Comprehension of the fundamental theorems for evaluating limits of functions. |
| 5 | Ability to understand the difference between continuity and uniform continuity |
| 6 | Applications of derivatives in real-world contexts |
| 7 | Ability to understand the geometric meaning of the derivative |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Indefinite Integrals | |
| 2. Week | Integral Methods: Changes of Variables, Integration by Parts | |
| 3. Week | Integration Techniques: Partial Fractions, Reduction Formulas | |
| 4. Week | Binom Integral and Its Properties, The Integral of Root Funcitons | |
| 5. Week | Introduction to Definite Integral, The Integral of Step Functions | |
| 6. Week | The Riemann Integral and Its Properties | |
| 7. Week | The Riemann Integral and Its Properties | |
| 8. Week | The Riemann Integral and Its Properties | |
| 9. Week | Fundamental Theorem of Integral and Other Theorems | |
| 10. Week | The Application of Definite Integrals: Area and Arc-Length Calculation | |
| 11. Week | The Applicaiton of the Definite Integrals: Volumes by Integration | |
| 12. Week | The Applicaiton of the Definite Integrals: Area of Surfaces of Revolution | |
| 13. Week | The Concept of Series | |
| 14. Week | Convergence Tests |
| 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). | ✔ | |||||
| 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. | ✔ | |||||
| 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 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY2 | 3 | 3 | 3 | 0 | 0 | 0 | 0 |
| PY3 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY5 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY6 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
| PY7 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY8 | 2 | 2 | 2 | 0 | 0 | 0 | 0 |
| PY9 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY10 | 4 | 4 | 4 | 0 | 0 | 0 | 0 |
| PY11 | 2 | 2 | 2 | 0 | 0 | 0 | 0 |
| PY12 | 5 | 5 | 5 | 0 | 0 | 0 | 0 |
| PY13 | 3 | 3 | 3 | 0 | 0 | 0 | 0 |
| PY14 | 5 | 5 | 5 | 0 | 0 | 0 | 0 |
| PY15 | 1 | 1 | 1 | 0 | 0 | 0 | 0 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Bahar Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. İlhame AMİRALİ | Vize | 40.00 | |
| Prof. Dr. İlhame AMİRALİ | Final | 60.00 | |
| 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 |
| Homework | 14 | 1 | 14 | |
| Homework Preparation | 10 | 1 | 10 | |
| Quiz | 1 | 1 | 1 | |
| Final | 1 | 2 | 2 | |
| Practice | 14 | 1.5 | 21 | |
| Practice End-Of-Term | 14 | 1 | 14 | |
| Classroom Activities | 14 | 1 | 14 | |
| Total Workload | 162 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
