| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| General Mathematics II | FEN110 | 2. Semester | 2 + 0 | 2.0 | 3.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assoc. Prof. Dr. EMİNE NUR ÜNVEREN BİLGİÇ |
| Instructor(s) |
EMİNE NUR ÜNVEREN BİLGİÇ |
| Assistants | |
| 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. |
| Learning Outcomes |
- Express and apply applications of derivative - Apply integral methods and calculate integral of functions effectively. - Express definition of indefinited integral and integral methods - Express concepts of function, varieties and calculate related applications. - Express definition of definited integral and its properties. - Calculate area-volume and arc length by the help of definited integral. - Calculate and calculate improper integral. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Maximum and minimum problems | Verbal Expression Preparation, After Class Study |
| 2. Week | Calculus of indefinited situationby the help of derivative | Preparation, After Class Study Verbal Expression |
| 3. Week | Graphs drawings | Verbal Expression Preparation, After Class Study |
| 4. Week | Graphs drawings | Preparation, After Class Study Verbal Expression |
| 5. Week | Graphs drawings | Preparation, After Class Study Verbal Expression |
| 6. Week | Integration by parts method | Preparation, After Class Study Verbal Expression |
| 7. Week | Integral methods with separated simple fractions and integral of trigonometric functions | Preparation, After Class Study Verbal Expression |
| 8. Week | Midterm | |
| 9. Week | Integral of irrational functions | Preparation, After Class Study Verbal Expression |
| 10. Week | Properties of definite integral | Preparation, After Class Study Verbal Expression |
| 11. Week | Area calculation with definite integral | Verbal Expression Preparation, After Class Study |
| 12. Week | Area calculation with definite integral | Verbal Expression Preparation, After Class Study |
| 13. Week | Volume calculation with definite integral | Preparation, After Class Study Verbal Expression |
| 14. Week | Arc length and improper integrals | Verbal Expression Preparation, After Class Study |
| Sağel,M.K.,Aktas,M., (2006). Genel Matematik 1, PegemA Yayınları. |
| Balcı,M., (2003). Genel Matematik, Balcı Yayınları. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|
| PY4 | 3 | 3 | 3 | 4 | 4 | 4 | 3 | 3 | - |
| 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) |
|---|---|---|---|
| Practice | 14 | 2 | 28 |
| Course Hours | 14 | 2 | 28 |
| 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 | ||
| ECTS Credit of the Course | 3.0 | ||
