| 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 | face to face |
| Course Coordinator |
Assoc. Prof. Dr. Fatih HEZENCİ Prof. Dr. İlhame AMİRALİ |
| Instructor(s) |
İlhame AMİRALİ |
| Assistants | |
| Goals | To teach indefinite integral, methods of indefinite integral, Characteristics of the integral, Theorems related with the Riemann integral, Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their characteristics, functions of several variables. |
| Course Content | |
| Learning Outcomes |
- Recognize the concept of indefinite integral. - Applies the methods of integration. - Understand the applications of definite integral. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Indefinite integral. Indefinite integral rules. The method of changing variables. | |
| 2. Week | Partial integration method. Integral of rational functions. | |
| 3. Week | Integrals of trigonometric expressions. | |
| 4. Week | Integral of irrational algebraic expressions. Binomial integral. Various variable replacements. | |
| 5. Week | Definite integral concept. The partition of the interval, Riemann sum and definite integral definition. | |
| 6. Week | Account using the definition of the definite integral. The basis of the basic integral rules. | |
| 7. Week | Fundamental theorems of integral calculus. Variable change method in definite integral | |
| 8. Week | midterm | |
| 9. Week | Calculate area using definite integral. | |
| 10. Week | Partial integration method in definite integral. Specific Integral of some specific defined functions. | |
| 11. Week | Calculate volume using definite integral. | |
| 12. Week | The length of the curved arc. Surface area of rotating objects. | |
| 13. Week | Generalized (not unique) integrals. | |
| 14. Week | Introduction to multivariable functions Definition and definition set of multivariable functions. Limit, continuity and partial derivative concepts. |
| Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010 |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | Measurement Method |
|---|
| 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 | 4 | 56 |
| Preparation, After Class Study | 1 | 40 | 40 |
| Research | 1 | 15 | 15 |
| Other Activities | 1 | 40 | 40 |
| Midterm 1 | 1 | 1 | 1 |
| Final | 1 | 1 | 1 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
