| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics II | MAT102 | 2. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator | |
| Instructors |
Tuba TUNÇ |
| 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 | Indefinite Integral, Indefinite Integral Rules, Variable Change Method, Partial Integral Method Indefinite Integral, Indefinite Integral Rules, Variable Change Method, Partial Integral Method. Simple fractional separation method, Integration of Trigonometric Expressions Integration of Irrational Algebraic Expressions, Binomial Integrals. Calculation of Some Original Integrals, Definition of Definite Integrals Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. Generalized Integrals, Non-Specific Integrals, Mixed Examples Convergence Criteria of Generalized Integrals Area Account, Curve Length of Publication Volume Account Rotary Surface Area Account Definition Clusters in Multivariable Functions Limit and Continuity in Two and More Variable Functions |
| Learning Outcomes |
- Recognize the concept of indefinite integral. - Applies the methods of integration. - Understand the applications of definite integral. - Define generalized integrals. - interpret the properties of generalized integrals. - Recognize multivariable functions. - 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 | Visual Presentation Verbal Expression |
| 2. Week | Indefinite Integral, Indefinite Integral Rules, Variable Change Method, Partial Integral Method. | Verbal Expression Visual Presentation |
| 3. Week | Simple fractional separation method, Integration of Trigonometric Expressions | Verbal Expression Visual Presentation |
| 4. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals. | Verbal Expression Visual Presentation |
| 5. Week | Calculation of Some Original Integrals, Definition of Definite Integrals | Verbal Expression Visual Presentation |
| 6. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Visual Presentation Verbal Expression |
| 7. Week | Problems in the Concept of Definite Integral, Definition of Definite Integral and Its Properties. | Verbal Expression Visual Presentation |
| 8. Week | Midterm | Course Hours |
| 9. Week | Generalized Integrals, Non-Specific Integrals, Mixed Examples | Verbal Expression Visual Presentation |
| 10. Week | Convergence Criteria of Generalized Integrals | Verbal Expression Visual Presentation |
| 11. Week | Area Account, Curve Length of Publication | Verbal Expression Visual Presentation |
| 12. Week | Volume Account | Verbal Expression Visual Presentation |
| 13. Week | Rotary Surface Area Account | Verbal Expression Visual Presentation |
| 14. Week | Definition Clusters in Multivariable Functions, Limit and Continuity in Two and More Variable Functions | Verbal Expression Visual Presentation |
| 1) M. Balcı, Genel Matematik II, Sürat Üniversite Yayınları, İstanbul, 2013. 2) H.H. Salihoğlu, M. Balcı, Temel ve Genel Matematik- Cilt: II, Bilim Yayınları, 1996. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY6 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY11 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| 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) |
|---|---|---|---|
| Midterm 1 | 1 | 34 | 34 |
| Homework 1 | 1 | 3.5 | 3.5 |
| Final | 1 | 34 | 34 |
| Classroom Activities | 14 | 4 | 56 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
