Rapor Tarihi: 24.02.2026 22:00
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Calculus II | MAT112 | Turkish | Compulsory | 2. Semester | 4 + 2 | 5.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | |
| Instructor(s) | |
| 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 |
| # | Öğrenme Kazanımı |
| 0 | distinguish and apply the fundamental theorem of integral calculus. |
| 0 | distinguish and apply the concepts of the area under a curve and integral and fundamental integration techniques. |
| 0 | calculate the areas closed by curves, surface areas, arc length and areas of surfaces of revolution. |
| 0 | determine the state of convergence of the series. |
| 0 | apply Taylor and McLaurin series |
| Week | Topics/Applications | Method |
|---|---|---|
| 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 |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Retaining and administering the fundamentals of theoretical and experimental applications of Classical and Modern Physics. | ✔ | |||||
| 2 | Interpreting the encountered problems in accordance with the principles of physics and attaining the ability of problem solving. | ✔ | |||||
| 3 | Gaining the ability of establishing the connection between the theories and applications of physics. | ✔ | |||||
| 4 | Gaining the ability of following and interpreting physics literature. | ✔ | |||||
| 5 | Gaining the ability of analytical thinking by looking at the cases from physical perspective. | ✔ | |||||
| 6 | Utilizing the knowledge of other disciplines and using their approaches in physics. | ✔ | |||||
| 7 | Retaining the ability of gathering, comparing and analyzing physical data, and producing and presenting solution for it. | ✔ | |||||
| 8 | Attaining basics of following up to date physics literature and utilizing it through communicating with colleagues. | ✔ | |||||
| 9 | Setting theoretical model, solving problems related with the model, approaching the model experimentally and interpreting the obtained experimental data by analyzing. | ✔ | |||||
| 10 | Understanding the importance of life-long learning in physics which is open for new advances and staying in connection with life-long learning. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 |
|---|---|---|---|---|---|
| PY1 | 3 | 3 | 3 | 3 | 3 |
| PY2 | 3 | 3 | 3 | 3 | 3 |
| PY3 | 3 | 3 | 3 | 3 | 3 |
| PY4 | 2 | 2 | 2 | 2 | 2 |
| PY5 | 3 | 3 | 3 | 3 | 3 |
| PY6 | 5 | 5 | 5 | 5 | 5 |
| PY7 | 4 | 4 | 4 | 4 | 4 |
| PY8 | 2 | 2 | 2 | 2 | 2 |
| PY9 | 4 | 4 | 4 | 4 | 4 |
| PY10 | 4 | 4 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 6 | 84 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 2 | 28 | |
| Other Activities | 14 | 1 | 14 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 5 | 1 | 5 | |
| Quiz 1 | 4 | 1 | 4 | |
| Final | 1 | 2 | 2 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
