| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Calculus II | MAT112 | 2. Semester | 4 + 2 | 5.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator | |
| Instructors | |
| Assistants | |
| Goals | Ensuring the comprehension of the concept of integration, integration techniques, applications of integrals, series, the concepts of series and power series |
| Course Content | Indefinite integrals, Integration methods,Change of Variables and Methods for Integration by Parts,Integration of Rational Functions,Integration of irrational functions,Area under a curve and Definite Integral,Fundamental theorems of integral calculations,Applications of definite integrals, Area calculation, Arc length calculation,Areas of surfaces of revolution, Volume of surfaces of revolution,Polar Coordinates Series, Convergence,Positive series,Power Series,Representation of Functions by Power Series, Taylor and Maclaurin Series |
| Learning Outcomes |
- distinguish and apply the fundamental theorem of integral calculus. - distinguish and apply the concepts of the area under a curve and integral and fundamental integration techniques. - calculate the areas closed by curves, surface areas, arc length and areas of surfaces of revolution. - determine the state of convergence of the series. - apply Taylor and McLaurin series |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Indefinite integrals, Integration methods | |
| 2. Week | Change of Variables and Methods for Integration by Parts | |
| 3. Week | Integration of Rational Functions | |
| 4. Week | Integration of irrational functions | |
| 5. Week | Area under a curve and Definite Integral | |
| 6. Week | Fundamental theorems of integral calculations | |
| 7. Week | Applications of definite integrals, Area calculation, Arc length calculation | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Areas of surfaces of revolution, Volume of surfaces of revolution | |
| 10. Week | Polar Coordinates | |
| 11. Week | Series, Convergence | |
| 12. Week | Positive series | |
| 13. Week | Power Series | |
| 14. Week | Representation of Functions by Power Series, Taylor and Maclaurin Series |
| • Calculus Volume II, Mustafa BALCI |
| • Advanced Calculus Volume II, Ahmet KARADENİZ |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY2 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY3 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY4 | 2 | 2 | 2 | 2 | 2 | 2 | - |
| PY5 | 3 | 3 | 3 | 3 | 3 | 3 | - |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY7 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY8 | 2 | 2 | 2 | 2 | 2 | 2 | - |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| 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 |
| Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 2 | 28 |
| Other Activities | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 5 | 1 | 5 |
| Quiz 1 | 4 | 1 | 4 |
| Final | 1 | 2 | 2 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
