| 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 | |
| Course Coordinator |
Prof. Dr. FUAT USTA Prof. Dr. Mehmet Zeki SARIKAYA Assoc. Prof. Dr. İzzettin DEMİR |
| Instructor(s) |
FUAT USTA |
| Assistants | |
| Goals | |
| Course Content | Indefinite Integrals, Definite Integrals and Their Applications: Area, Volume, Arc Length, and Surface Area Calculations; Sequences, Series, and Their Convergence |
| 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 | Indefinite Integral, Rules of Indefinite Integration, Method of Substitution, Method of Integration by Parts | Practice Research Other Activities Course Hours Verbal Expression Preparation, After Class Study |
| 2. Week | Method of Partial Fractions, Integration of Trigonometric Expressions | Research Other Activities Verbal Expression Preparation, After Class Study Course Hours Practice |
| 3. Week | Integration of Irrational Algebraic Expressions, Binomial Integrals | Research Other Activities Verbal Expression Practice Preparation, After Class Study Course Hours |
| 4. Week | Definite integral and its properties | Practice Research Other Activities Verbal Expression Preparation, After Class Study Course Hours |
| 5. Week | Area Calculation | Verbal Expression Course Hours Preparation, After Class Study Practice Research Other Activities |
| 6. Week | Volume Calculation | Preparation, After Class Study Practice Research Other Activities Verbal Expression Course Hours |
| 7. Week | Surface Area and Arc Length | Practice Preparation, After Class Study Verbal Expression Other Activities Research Course Hours |
| 8. Week | Midterm | |
| 9. Week | Generalized Integrals and Criteria for Convergence | Preparation, After Class Study Practice Other Activities Research Course Hours Verbal Expression |
| 10. Week | Generalized Integrals and Criteria for Convergence | Verbal Expression Preparation, After Class Study Practice Research Course Hours Other Activities |
| 11. Week | Convergence of sequences | Course Hours Research Practice Verbal Expression Other Activities Preparation, After Class Study |
| 12. Week | Series and convergence tests | Other Activities Verbal Expression Preparation, After Class Study Practice Course Hours Research |
| 13. Week | Series and convergence tests | Preparation, After Class Study Research Practice Other Activities Verbal Expression Course Hours |
| 14. Week | Power Series, Taylor Series | Course Hours Preparation, After Class Study Practice Other Activities Research Verbal Expression |
| Thomas, G.B., Thomas Calculus, 11.baskı, çeviri:Recep Korkmaz, Beta Basım, 2010. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|
| 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 | 4 | 56 |
| Practice | 14 | 1 | 14 |
| 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 | ||
| ECTS Credit of the Course | 6.0 | ||
