| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Calculus II | MAT112 | 2. Semester | 4 + 2 | 5.0 | 7.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. FUAT USTA |
| Instructors |
FUAT USTA |
| Assistants | |
| 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, |
| Learning Outcomes |
- Be able to understand the fundemental principal of defined integral - Be able to use integral in real life applications - Be able to understand series and their convergence at series |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Indefinite Integrals | Course Hours |
| 2. Week | Integral Methods: Changes of Variables, Integration by Parts | Course Hours |
| 3. Week | Integration Techniques: Partial Fractions, Reduction Formulas | Course Hours |
| 4. Week | Binom Integral and Its Properties, The Integral of Root Funcitons | Course Hours |
| 5. Week | Introduction to Definite Integral, The Integral of Step Functions | Course Hours |
| 6. Week | The Riemann Integral and Its Properties | Course Hours |
| 7. Week | The Riemann Integral and Its Properties | Course Hours |
| 8. Week | midterm | |
| 9. Week | Fundamental Theorem of Integral and Other Theorems | |
| 10. Week | The Application of Definite Integrals: Area and Arc-Length Calculation | Course Hours |
| 11. Week | The Applicaiton of the Definite Integrals: Volumes by Integration | Course Hours |
| 12. Week | The Applicaiton of the Definite Integrals: Area of Surfaces of Revolution | Course Hours |
| 13. Week | The Concept of Series | Course Hours |
| 14. Week | Convergence Tests | Course Hours |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | Measurement Method |
|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | - |
| PY2 | 3 | 3 | 3 | 3 | - |
| PY3 | 4 | 4 | 4 | 4 | - |
| PY5 | 4 | 4 | 4 | 4 | - |
| PY6 | 1 | 1 | 1 | 1 | - |
| PY7 | 4 | 4 | 4 | 4 | - |
| PY8 | 2 | 2 | 2 | 2 | - |
| PY9 | 4 | 4 | 4 | 4 | - |
| PY10 | 4 | 4 | 4 | 4 | - |
| PY11 | 2 | 2 | 2 | 2 | - |
| PY12 | 5 | 5 | 5 | 5 | - |
| PY13 | 3 | 3 | 3 | 3 | - |
| PY14 | 5 | 5 | 5 | 5 | - |
| PY15 | 1 | 1 | 1 | 1 | - |
| 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 |
| Midterm 1 | 1 | 3 | 3 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 10 | 1 | 10 |
| Quiz 1 | 1 | 1.5 | 1.5 |
| Final | 1 | 3 | 3 |
| Practice | 14 | 1.5 | 21 |
| Practice End-Of-Term | 14 | 1 | 14 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 178.5 | ||
| ECTS Credit of the Course | 7.0 | ||
