| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| General Mathematics II | FEN110 | Turkish | Compulsory | 2. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Doç. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) | |
| Goals | To improve using concepts as attractive skills by remembering students? mathematical pre-knowledge. |
| Course Content | Geometric applications of derivative: maximum and minimum problems, exponentional uncertainties, graphs drawings, differential equations. Indefinite integral: definition of indefinite integral, integral with separated variables, integral by parts, integral methods with separated simple fractions, integral of trigonometric functions, integral of irrational functions. Definite integral: properties of definite integral, calculus area-volume and arc length, improper integral. |
| # | Öğrenme Kazanımı |
| 1 | Express and apply applications of derivative |
| 2 | Apply integral methods and calculate integral of functions effectively. |
| 3 | Express definition of indefinited integral and integral methods |
| 4 | Express concepts of function, varieties and calculate related applications. |
| 5 | Express definition of definited integral and its properties. |
| 6 | Calculate area-volume and arc length by the help of definited integral. |
| 7 | Calculate and calculate improper integral. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Maximum and minimum problems | Preparation, After Class Study, Interview |
| 2. Week | Calculus of indefinited situationby the help of derivative | Interview, Preparation, After Class Study |
| 3. Week | Graphs drawings | Interview, Preparation, After Class Study |
| 4. Week | Graphs drawings | Preparation, After Class Study, Interview |
| 5. Week | Graphs drawings | Preparation, After Class Study, Interview |
| 6. Week | Integration by parts method | Preparation, After Class Study, Interview |
| 7. Week | Integral methods with separated simple fractions and integral of trigonometric functions | Preparation, After Class Study, Interview |
| 8. Week | Midterm | |
| 9. Week | Integral of irrational functions | Preparation, After Class Study, Interview |
| 10. Week | Properties of definite integral | Preparation, After Class Study, Interview |
| 11. Week | Area calculation with definite integral | Preparation, After Class Study, Interview |
| 12. Week | Area calculation with definite integral | Preparation, After Class Study, Interview |
| 13. Week | Volume calculation with definite integral | Preparation, After Class Study, Interview |
| 14. Week | Arc length and improper integrals | Interview, Preparation, After Class Study |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 4 | Evaluates the knowledge gained in science and science education with a critical approach, tries to continue his/her education throughout his/her life, uses technology effectively to monitor relevant developments and reach up-to-date information. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 |
|---|---|---|---|---|---|---|---|
| PY4 | 3 | 3 | 4 | 4 | 4 | 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 | 2 | 28 |
|
Ders Dışı |
Practice | 14 | 2 | 28 |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1 | 14 | |
| Quiz 1 | 1 | 0.5 | 0.5 | |
| Final | 1 | 4 | 4 | |
| Total Workload | 76.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 3.0 | ||
