| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics II | MAT112 | 2. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | |
| Course Coordinator |
Prof. Dr. Emrah Evren KARA |
| Instructors |
Emrah Evren KARA |
| Assistants | |
| Goals | To be able to teach the basic knowledge and applications of Integral, to be able to comprehend series and series and to be able to examine their convergence. |
| Course Content | Derivatives of multiply variable functions. Higher order partial derivatives.Derivative chain rule.derivative of closed functions Taylor Expansion of Two Variable Functions. Double integrals, region transformations in double integrals. Applications of double integrals. Triple integrals. Region transformations in triple integrals. Applications of triple integrals. Matrices. Determinants. Linear equation systems. |
| Learning Outcomes |
- 1) Recognize the concept of indefinite integral. 2) Applies the methods of integration. 3) Understand the applications of definite integral. 4) Define generalized integrals. 5) interpret the properties of generalized integrals. 6) Recognize multivariable functions. 7) Solves limit and continuity problems in multivariable functions. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Indefinite Integral, Indefinite Integral Rules, Variable Change Method, Partial Integral Method. | Practice Verbal Expression |
| 2. Week | Simple fractional separation method, Integration of Trigonometric Expressions | Practice Verbal Expression |
| 3. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals. | Practice Verbal Expression |
| 4. Week | Calculation of Some Original Integrals, Definition of Definite Integrals | Practice Verbal Expression |
| 5. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Verbal Expression Practice |
| 6. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Practice Verbal Expression |
| 7. Week | Genelleştirilmiş integraller, Özel Olmayan İntegraller, Karışık Örnekler | Verbal Expression Practice |
| 8. Week | Convergence Criteria of Generalized Integrals | Verbal Expression Practice |
| 9. Week | area account, curve arc length | Verbal Expression Practice |
| 10. Week | area account, curve arc length | Practice Verbal Expression |
| 11. Week | volume account | Verbal Expression Practice |
| 12. Week | Rotary Surface Area Account. | Verbal Expression Practice |
| 13. Week | Definition Clusters in Multivariable Functions. | Verbal Expression Practice |
| 14. Week | Limit and Continuity in Two and More Variable Functions. | Practice Verbal Expression |
| Balcı, Mustafa; Matematik Analiz II, Ank Üni. Fen Fak. Yayınları, No 142, Ankara. |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | - |
| PY2 | 4 | 0 | - |
| PY3 | 3 | 0 | - |
| PY4 | 4 | 0 | - |
| PY5 | 3 | 0 | - |
| PY6 | 4 | 0 | - |
| PY7 | 4 | 0 | - |
| PY8 | 5 | 0 | - |
| PY9 | 4 | 0 | - |
| 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 |
| Research | 4 | 2 | 8 |
| Practice | 10 | 1 | 10 |
| Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 2 | 8 |
| Homework 2 | 4 | 2 | 8 |
| Final | 1 | 1.5 | 1.5 |
| Practice | 14 | 1 | 14 |
| Practice End-Of-Term | 6 | 2 | 12 |
| Classroom Activities | 6 | 1 | 6 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
