| 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 | Compulsory |
| Course Coordinator |
Assoc. Prof. Dr. İzzettin DEMİR |
| Instructors |
Mehmet Zeki SARIKAYA |
| Assistants | |
| Goals | Saving of mathematical skills to the students on theirs own area. |
| Course Content | To introduce concept of function. To teach the limit of a function. To give the continuity of a function. To introduce the concept of derivative. To give the application of derivative. To apply the extremum problems to engineering. To plot the graph of a curve |
| Learning Outcomes |
- defines the concepts of set and number theory. - Learns what the function is and some speacial functions. - expresses how to calculate limit on a given point in the functions - Uses the properties of the continuous functions - Explains the concept of derivation. - Compares the physical and geometric meaning of derivative. - Interprets the theorems about derivation. - Calculates the limit of indefinite expressions. - Explains the drawings of the curves. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Sets, Absolute Value and Features, Inequality, and the right of the circle Analytical Investigation | |
| 2. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic and hyperbolic functions | |
| 3. Week | Limit Concept, Right and Left Sided Limits, Unknown Shapes, Limits of Trigonometric Functions | |
| 4. Week | Continuity of functions, properties of continuous functions (interpolate Theorem, Absolute Max, Min, Local Max, Min definitions) | |
| 5. Week | Derivative, Derivative Rules | |
| 6. Week | Higher Derivatives, Derivatives of Inverse Functions, Derivatives of trigonometric functions | |
| 7. Week | Derivatives of inverse trigonometric functions, logarithms Function Derivatives, Derivatives of Hyperbolic and Inverse Hyperbolic Functions | |
| 8. Week | Derivatives of Functions Given parametric equations, Derivative of Implicit Function | |
| 9. Week | Midterm | |
| 10. Week | Geometrical meaning of the derivative, Rolle's Theorem, Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Milestones | |
| 11. Week | Concepts of Maximum and Minimum, Maximum and Minimum Problems, Taylor's Theorem, Fuzzy Shapes (L 'Hospital Rule) | |
| 12. Week | Uncertain Shapes (L 'Hospital Rule) Continue, Differential Concept | |
| 13. Week | Polar Coordinates, Asymptotes | |
| 14. Week | Drawing curve |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | 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 | ||
