| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics I | MAT111 | Turkish | Compulsory | 1. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Compulsory |
| Course Coordinator | Doç. Dr. İzzettin DEMİR |
| Instructor(s) | Doç. Dr. İzzettin DEMİR (Güz), Prof. Dr. FUAT USTA (Güz) |
| 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 |
| # | Öğrenme Kazanımı |
| 0 | defines the concepts of set and number theory. |
| 0 | Learns what the function is and some speacial functions. |
| 0 | expresses how to calculate limit on a given point in the functions |
| 0 | Uses the properties of the continuous functions |
| 0 | Explains the concept of derivation. |
| 0 | Compares the physical and geometric meaning of derivative. |
| 0 | Interprets the theorems about derivation. |
| 0 | Calculates the limit of indefinite expressions. |
| 0 | Explains the drawings of the curves. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Function Concept, Some Special Functions (Strength, polynomial, Absolute Value Functions.), Trigonometric and inverse trigonometric functions, exponential, logarithmic and hyperbolic functions | |
| 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 | Midterm | |
| 9. Week | Derivatives of Functions Given parametric equations, Derivative of Implicit Function | |
| 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 | Multivariable Functions, Limit, Continuous and Derivative on This Functions | |
| 14. Week | Multivariable Functions, Limit, Continuous and Derivative on This Functions |
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 |
|---|
| 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 | 4 | 56 |
|
Ders Dışı |
Practice | 14 | 1 | 14 |
|
Sınavlar |
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 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
