| 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 | Lecturing |
| Course Coordinator |
Prof. Dr. Emrah Evren KARA |
| Instructors |
Emrah Evren KARA |
| Assistants | |
| Goals | The aim of this course is to understand the basic logic of mathematics, to put the thought system into an analytical form and to apply analytical thinking and basic mathematical logic in the encountered problems. |
| Course Content | To be able to classify numbers, to know the concepts of inequality and absolute value. To be able to comprehend analytical plane and coordinate system. To be able to understand polynomials and identities. To be able to define the function and to say its types and properties. To understand trigonometry and trigonometric functions. To draw graphs of trigonometric functions |
| Learning Outcomes |
- 1) Describe the concepts of cluster and number. 2) Recognize the function and some special functions. 3) It means that you can get a limit at one point in the functions. 4) Uses the properties of continuous functions. 5) Explains the concept of derivative. 6) Compare the physical and geometric meanings of the derivative. 7) Interpretation of derivative theorems. 8) Limit calculations in indefinite expressions. 9) Explain curve drawings |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Sets, Absolute Value and Properties, Inequalities, Analytical Analysis of Directness and Circle | Verbal Expression Practice |
| 2. Week | Function Concept, Some Special Functions (Force, Polynomial, Absolute Value Function), Trigonometric and Inverse Trigonometric Functions, Exponential, Logarithmic and Hyperbolic Functions | Verbal Expression Practice |
| 3. Week | Limit Concept, Right and Left Side Limits, Indeterminate Shapes, Limits of Trigonometric Functions | Verbal Expression Practice |
| 4. Week | Continuity in Functions, Properties of Continuous Functions (interpolate Theorem, Absolute Max, Min, Local Max, Min Definitions) | Practice Verbal Expression |
| 5. Week | Concept of derivative, rules of taking derivative | Visual Presentation Verbal Expression |
| 6. Week | Higher Order Derivative, Inverse Function Derivative, Trigonometric Functions derivative | Practice Verbal Expression |
| 7. Week | Derivatives of Inverse Trigonometric Functions, Derivative of Logarithm Function, Derivative of Hyperbolic and Inverse Hyperbolic Functions | Verbal Expression Practice |
| 8. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions | Verbal Expression |
| 9. Week | Parametric Equations Derivatives of Functions Given, Derivative of Closed Functions | Practice Verbal Expression |
| 10. Week | Geometric Meaning of Derivative, Rolle Theorem, The Mean Value Theorem, Increasing and Decreasing Functions, Concave and Convex Functions, | Verbal Expression |
| 11. Week | Maximum and Minimum Concepts, Maximum and Minimum Problems, Taylor Theorem, Indeterminate Shapes (L 'Hospital Rule) | Verbal Expression Practice |
| 12. Week | Indeterminate Shapes (L 'Hospital Rule) Continued, Differential Concept | Practice Verbal Expression |
| 13. Week | Polar Coordinates, Asymptotes | Practice Verbal Expression |
| 14. Week | Curve drawings | Verbal Expression Practice |
| Balcı, Mustafa; General Mathematics, Balcı Publications |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | 5 | - |
| PY2 | 4 | 4 | - |
| PY3 | 5 | 5 | - |
| PY4 | 4 | 4 | - |
| PY5 | 3 | 3 | - |
| PY6 | 3 | 3 | - |
| PY7 | 4 | 4 | - |
| PY8 | 4 | 3 | 40 |
| PY9 | 4 | 4 | - |
| 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 |
| Research | 4 | 2 | 8 |
| Practice | 10 | 1 | 10 |
| Midterm 1 | 1 | 1.5 | 1.5 |
| Homework 1 | 4 | 2 | 8 |
| Homework 2 | 4 | 2 | 8 |
| Final | 1 | 1.5 | 1.5 |
| Practice | 14 | 1 | 14 |
| Practice End-Of-Term | 6 | 2 | 12 |
| Classroom Activities | 6 | 1 | 6 |
| Total Workload | 153 | ||
| ECTS Credit of the Course | 6.0 | ||
