| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics | MAT101 | 1. Semester | 2 + 2 | 3.0 | 5.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assoc. Prof. Dr. Tuba TUNÇ |
| Instructors |
Tuba TUNÇ |
| Assistants | |
| Goals | To provide students with basic mathematical skills necessary for engineering education. |
| Course Content | Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle, Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions),Concept of derivative, rules of taking derivative Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions,Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept Polar Coordinates, Asymptotes |
| Learning Outcomes |
- Describe the concepts of cluster and number. - Recognize the function and some special functions. - It means that you can get a limit at one point in the functions. - Uses the properties of continuous functions. - Explains the concept of derivative. - Compare the physical and geometric meanings of the derivative. - Interpretation of derivative theorems. - Limit calculations in indefinite expressions. - Explain the curve drawings. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Clusters, Absolute Value and Properties, Inequalities, Directness and Analytic Analysis of the Circle | Visual Presentation Verbal Expression |
| 2. Week | Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions | Verbal Expression Visual Presentation |
| 3. Week | Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions | Verbal Expression Visual Presentation |
| 4. Week | Continuity in Functions, Properties of Continuous Functions (Theorem Theorem, Absolute Max, Min, Local Max, Min Definitions) | Verbal Expression Visual Presentation |
| 5. Week | Concept of derivative, rules of taking derivative | Visual Presentation Verbal Expression |
| 6. Week | Derivatives of Higher Order, Inverse Function, Derivative, Trigonometric Functions | Verbal Expression Visual Presentation |
| 7. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions Presentation with projector/blackboard | Visual Presentation Verbal Expression |
| 8. Week | Midterm | Course Hours |
| 9. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions Presentation with projector/blackboard | Verbal Expression Visual Presentation |
| 10. Week | Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, | Verbal Expression Visual Presentation |
| 11. Week | Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) | Verbal Expression Visual Presentation |
| 12. Week | Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept | Verbal Expression Visual Presentation |
| 13. Week | Polar Coordinates, Asymptotes | Verbal Expression Visual Presentation |
| 14. Week | Curve drawings | Visual Presentation Verbal Expression |
| 1) Mustafa Balcı, Genel Matematik I, Balcı Yayınları,Cilt I, 2.Baskı, ,Ankara, 2003. 2) S. Lang, A First Course in Calculus, Fourth Edition,, Yale University, 1980. 3) H.H. Hacısalihoğlu, M. Balcı, F. Gökdal, Temel ve Genel Matematik, Cilt I, 3. Baskı, Ankara, 1988. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | DK8 | DK9 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|---|---|
| PY1 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY2 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 40,60 |
| PY5 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY6 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 40,60 |
| PY7 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY8 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY9 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | 40,60 |
| PY11 | 5 | 5 | 5 | 5 | 5 | 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 | 30 | 30 |
| Homework 1 | 1 | 11.5 | 11.5 |
| Final | 1 | 30 | 30 |
| Classroom Activities | 14 | 4 | 56 |
| Total Workload | 127.5 | ||
| ECTS Credit of the Course | 5.0 | ||
