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) | |
Goals | |
Course Content | Indefinite Integrals, Definite Integrals and Their Applications: Area, Volume, Arc Length, and Surface Area Calculations; Sequences, Series, and Their Convergence |
# | Öğrenme Kazanımı |
0 | Knows the concept of indefinite integral. |
0 | Applies the integrating methods. |
0 | Understands the applications of definite integral. |
0 | Knows the generalized integrals. |
0 | Interprets the properties of the generalized integrals. |
0 | Knows the multi-variable functions. |
0 | Solves tthe problems about limit and continuity in multi-variable functions. |
Week | Topics/Applications | Method |
---|---|---|
1. Week | Indefinite Integral, Rules of Indefinite Integration, Method of Substitution, Method of Integration by Parts | Research Other Activities Interview Preparation, After Class Study Practice Class Hours |
2. Week | Method of Partial Fractions, Integration of Trigonometric Expressions | Other Activities Interview Research Practice Preparation, After Class Study Class Hours |
3. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals | Practice Research Other Activities Interview Preparation, After Class Study Class Hours |
4. Week | Definite integral and its properties | Class Hours Practice Other Activities Interview Research Preparation, After Class Study |
5. Week | Area Calculation | Preparation, After Class Study Practice Class Hours Research Other Activities Interview |
6. Week | Volume Calculation | Interview Other Activities Research Practice Preparation, After Class Study Class Hours |
7. Week | Surface Area and Arc Length | Interview Other Activities Preparation, After Class Study Research Practice Class Hours |
8. Week | Midterm | |
9. Week | Generalized Integrals and Criteria for Convergence | Other Activities Research Practice Preparation, After Class Study Class Hours Interview |
10. Week | Generalized Integrals and Criteria for Convergence | Preparation, After Class Study Class Hours Interview Other Activities Practice Research |
11. Week | Convergence of sequences | Interview Practice Other Activities Research Preparation, After Class Study Class Hours |
12. Week | Series and convergence tests | Practice Interview Other Activities Research Preparation, After Class Study Class Hours |
13. Week | Series and convergence tests | Interview Other Activities Research Class Hours Preparation, After Class Study Practice |
14. Week | Power Series, Taylor Series | Interview Class Hours Preparation, After Class Study Practice Research Other Activities |
Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
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Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
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Diğer Kaynaklar |
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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 | 1 | 15 | 15 |
Quiz 1 | 1 | 4 | 4 | |
Quiz 2 | 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 |