| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics I | MAT111 | 1. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face. |
| Course Coordinator |
Assoc. Prof. Dr. ZAKİR DENİZ |
| Instructors |
ZAKİR DENİZ |
| Assistants | |
| Goals | To give fundamentals of mathematics knowledge.To be able to analyse problems which are met in the field of mathematics and to gain the ability of problem solving.To gain analytical thinking, discussion and evaluation. |
| Course Content | Complex Numbers, Limit and Continuity, Derivative, Functions and Graphic Analysis, Trigonometry and Hyperbola, Differential Definition and Applications, Rolle and Mean Value Theorems, Parametric Equations, Polar Coordinates |
| Learning Outcomes |
- Know the function and some special functions - It means that you can get a limit at one point in functions - Explain the concept of derivative - Limit calculations in indefinite expressions |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Numbers (Natural Numbers, Real Numbers, Complex Numbers), Functions | Verbal Expression |
| 2. Week | Limit and Continuity in Univariate Functions | Verbal Expression |
| 3. Week | Definition and rules of derivative. Various applications of derivative. | Verbal Expression |
| 4. Week | Derivative applications | Verbal Expression |
| 5. Week | Examination of changes of functions and graphic drawing | Verbal Expression |
| 6. Week | Trigonometric Functions. Inverse Trigonometric Functions. | Verbal Expression |
| 7. Week | Hyperbolic and Inverse Hyperbolic Functions. | Verbal Expression |
| 8. Week | Midterm exam Hyperbolic and Inverse Hyperbolic Functions. | |
| 9. Week | Limite calculation of indeterminate shapes by derivative, applications | Verbal Expression |
| 10. Week | Limite calculation of indeterminate shapes by derivative, applications | Verbal Expression |
| 11. Week | Parametric Equations | Verbal Expression |
| 12. Week | Introduction to indefinite integrals. | Verbal Expression |
| 13. Week | Indefinite integral | Verbal Expression |
| 14. Week | Indefinite integral | Verbal Expression |
| Mustafa Balcı, Matematik Analiz, Cilt 1 |
| George B. Thomas, Ross L. Finney, Maurice D. Weir, Calculus ve Analitik Geometri, Cilt 1. |
| Sherman K. Stein, Antony Barcellos, Calculus ve Analitik Geometri, Cilt:1. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | Measurement Method |
|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| 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) |
|---|---|---|---|
| Midterm 1 | 1 | 50 | 50 |
| Final | 1 | 77.5 | 77.5 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 6.0 | ||
