| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Calculus I | MAT111 | 1. Semester | 4 + 2 | 5.0 | 7.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. FUAT USTA |
| Instructors |
FUAT USTA |
| Assistants | |
| Goals | To give students information about the limit, continuity, derivative, indefinite of single variable functions and their applications. |
| Course Content | Sets (Operations on sets, open sets, closed sets, accumulation point, vb.), Number Sets (Natural Numbers, Integers, Real Numbers and Their Properties), Supremum and Infimum Concepts, Function Concept and Its Properties, Some Special Functions , Limits, Continuity and Uniform Continuity in Functions, Sequences of Reel Numbers, Boundedness and Convergence Sequences of Reel Numbers,, Bolzano-Weierstrass Theorem, Derivative, Derivative Rules, Derivative Methods, Higher Order Derivatives, Geometric and Physical Meaning of the Derivative, Derivative Theorems, Indefinite Forms, Diferantial and Drawing Curves. |
| Learning Outcomes |
- 1.This course will enable one to:Know basic rules about subject of limit and practice on single variable functions - 2.Have information about concept of continuity, discontinuity and make geometrical commet on single variable functions - 3.Have information about derivative and basic theorems related derivative, calculate and practice derivative of polynomial, trigonometric, logarithmic, exponentional and composite and inverse functions - 4.Calculate limit by the help of L’Hospital Rule on single variable functions - 5.Know indefinite integral and integral methods and apply to problems on single variable functions |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Sets (Operations on sets, open sets, closed sets, accumulation point, vb.) | |
| 2. Week | Number Sets (Natural Numbers, Integers, Real Numbers and Their Properties) | |
| 3. Week | Supremum and Infimum Concepts | |
| 4. Week | Function Concept and Its Properties, Some Special Functions | |
| 5. Week | Limits, Continuity and Uniform Continuity in Functions. | |
| 6. Week | Sequences of Reel Numbers, Boundedness and Convergence Sequences of Reel Numbers,, Bolzano-Weierstrass Theorem | |
| 8. Week | Mid-term Exam | |
| 9. Week | Derivative, Derivative Rules | |
| 10. Week | Derivative Methods, Higher Order Derivatives. | |
| 11. Week | Geometric and Physical Meaning of the Derivative. | |
| 12. Week | Derivative Theorems. | |
| 13. Week | Indefinite Forms. | |
| 14. Week | Diferantial and Drawing Curves. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | Measurement Method |
|---|---|---|---|---|---|---|---|
| PY1 | 4 | 5 | 5 | 5 | 5 | 5 | 60,60 |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY3 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY4 | 5 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY5 | 4 | 4 | 4 | 4 | 4 | 4 | 60 |
| PY6 | 1 | 1 | 1 | 1 | 1 | 1 | 60 |
| PY7 | 5 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY8 | 2 | 2 | 2 | 2 | 2 | 2 | 60,60 |
| PY9 | 3 | 3 | 3 | 3 | 3 | 3 | 60 |
| PY10 | 5 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY11 | 0 | 0 | 0 | 0 | 0 | 0 | 60 |
| PY12 | 5 | 5 | 5 | 5 | 5 | 5 | 60 |
| PY13 | 4 | 4 | 4 | 4 | 4 | 4 | 60 |
| PY14 | 2 | 2 | 2 | 2 | 2 | 2 | 60 |
| PY15 | 1 | 1 | 1 | 1 | 1 | 1 | 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) |
|---|---|---|---|
| Course Hours | 14 | 6 | 84 |
| Midterm 1 | 1 | 3 | 3 |
| Homework 1 | 14 | 2 | 28 |
| Homework 2 | 10 | 1 | 10 |
| Quiz 1 | 1 | 1.5 | 1.5 |
| Final | 1 | 3 | 3 |
| Practice | 14 | 1.5 | 21 |
| Practice End-Of-Term | 14 | 1 | 14 |
| Classroom Activities | 14 | 1 | 14 |
| Total Workload | 178.5 | ||
| ECTS Credit of the Course | 7.0 | ||
