| 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 | Compulsory |
| Course Coordinator |
Prof. Dr. İsmet YILDIZ Prof. Dr. HÜSEYİN BUDAK |
| Instructor(s) |
Fatih HEZENCİ |
| Assistants | |
| Goals | To be able to teach the basic information and applications of integral, to understand the subjects of Sequences and Series and to examine their convergence. |
| Course Content | Indefinite integrals, definite integrals and applications of integrals (area calculation, arc length calculation, volume calculation, surface area calculation) |
| Learning Outcomes |
- Knows the concept of indefinite integral. - Applies the integrating methods. - Understands the applications of definite integral. - Knows the generalized integrals. - Interprets the properties of the generalized integrals. - Knows the multi-variable functions. - Solves tthe problems about limit and continuity in multi-variable functions. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Belirsiz İntegral, Belirsiz integral alma kuralları, Değişken Değiştirme Yöntemi, Kısmi İntegrasyon Metodu. | |
| 2. Week | Basit kesirlere ayırma yöntemi, Trigonometrik İfadelerin İntegrallenmesi | |
| 3. Week | İrrasyonel Cebirsel İfadelerin İntegrallenmesi, Binom İntegralleri. | |
| 4. Week | Bazı Özgün İntegrallerin Hesaplanması, Belirli İntegral Tanımı | |
| 5. Week | Belirli İntegral Kavramına Getiren Problemler, Belirli İntegral Tanımı ve Özellikleri. | |
| 6. Week | Belirli İntegral Kavramına Getiren Problemler, Belirli İntegral Tanımı ve Özellikleri. | |
| 7. Week | Genelleştirilmiş integraller, Özel Olmayan İntegraller, Karışık Örnekler | |
| 8. Week | Genelleştirilmiş İntegrallerin Yakınsallık Kriterleri | |
| 9. Week | Ara sınav | |
| 10. Week | Alan Hesabı, Eğri Yayının Uzunluğu | |
| 11. Week | Hacim Hesabı | |
| 12. Week | Dönel Yüzeyin Alanının Hesabı. | |
| 13. Week | Çok Değişkenli Fonksiyonlarda Tanım Kümeleri. | |
| 14. Week | İki ve Daha Çok Değişkenli Fonksiyonlarda Limit ve Süreklilik. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY2 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY3 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY4 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY5 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY6 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY7 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY9 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY10 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| 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 | 5 | 70 |
| Practice | 14 | 1 | 14 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 1 | 14 | 14 |
| Quiz 1 | 1 | 4 | 4 |
| Quiz 2 | 1 | 4 | 4 |
| Final | 1 | 2 | 2 |
| Classroom Activities | 14 | 3 | 42 |
| Total Workload | 152 | ||
| ECTS Credit of the Course | 6.0 | ||
