Rapor Tarihi: 27.03.2026 02:57
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics II | MAT112 | Turkish | Compulsory | 2. Semester | 5 + 1 | 5.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | |
| Course Coordinator | Prof. Dr. FUAT USTA, Prof. Dr. Mehmet Zeki SARIKAYA, Doç. Dr. İzzettin DEMİR |
| Instructor(s) | Candan CAN BİLİŞİK (Bahar), Prof. Dr. FUAT USTA (Bahar) |
| Goals | To teach fundamental knowledge and applications of integration, and to enable students to understand sequences and series and examine their convergence. |
| Course Content | Indefinite Integrals, Definite Integrals and Their Applications: Area, Volume, Arc Length, and Surface Area Calculations; Sequences, Series, and Their Convergence |
| # | Öğrenme Kazanımı |
| 1 | Knows the concept of indefinite integral. |
| 2 | Applies the integrating methods. |
| 3 | Understands the applications of definite integral. |
| 4 | Knows the generalized integrals. |
| 5 | Interprets the properties of the generalized integrals. |
| 6 | Students gain basic knowledge about sequences, series, and their convergence. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Indefinite Integral, Rules of Indefinite Integration, Method of Substitution, Method of Integration by Parts | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 2. Week | Method of Partial Fractions, Integration of Trigonometric Expressions | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 3. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 4. Week | Definite integral and its properties | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 5. Week | Area Calculation | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 6. Week | Volume Calculation | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 7. Week | Surface Area and Arc Length | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 8. Week | Midterm | |
| 9. Week | Generalized Integrals and Criteria for Convergence | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 10. Week | Generalized Integrals and Criteria for Convergence | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 11. Week | Convergence of sequences | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 12. Week | Series and convergence tests | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 13. Week | Series and convergence tests | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| 14. Week | Power Series, Taylor Series | Preparation, After Class Study, Practice, Research, Other Activities, Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Adequate knowledge in mathematics, science, and related engineering disciplines; ability to use theoretical and applied information in these areas to solve complex engineering problems. | ✔ | |||||
| 2 | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply appropriate analysis and modeling methods for this purpose. | ✔ | |||||
| 4 | Ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering practice; ability to use information technologies effectively. | ✔ | |||||
| 5 | Ability to design and conduct experiments, collect data, analyze and interpret results to investigate complex engineering problems or discipline-specific research topics. | ✔ | |||||
| 6 | Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | ✔ | |||||
| 8 | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to constantly renew oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 |
|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY4 | 5 | 5 | 4 | 5 | 5 | 5 |
| PY5 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY6 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY8 | 3 | 3 | 3 | 3 | 3 | 3 |
| 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 | 4 | 56 |
|
Ders Dışı |
Practice | 14 | 1 | 14 |
|
Sınavlar |
Midterm | 1 | 15 | 15 |
| Quiz | 1 | 4 | 4 | |
| Quiz Preparation | 1 | 4 | 4 | |
| Final | 1 | 18 | 18 | |
| Classroom Activities | 14 | 3 | 42 | |
| Total Workload | 153 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
