| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics | MAT103 | 1. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Assoc. Prof. Dr. Tuba TUNÇ |
| Instructor(s) |
Fatih HEZENCİ |
| Assistants | |
| Goals | The purpose of this course is to teach the basic mathematical techniques to analyze problems, math skills required to be able to introduce. A large number of sample problems with mathematics, the availability of practical emphasis. |
| Course Content | Improve the student's ability to think abstractly and learn topics in mathematics. |
| Learning Outcomes |
- The cluster concept and recognize the set of real numbers. - Functions defined on the set of real numbers with basic features to examine. - Limits of functions, continuity and derivatives learn the concepts. - To solve the derivative - To draw the graph of a given function - Differential learn the concept. - To calculate the approximate value of the differential with the concept. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Numbers, Cluster Concept, Real Numbers, Intervals | |
| 2. Week | Absolute Value, Exponential and Numbers, logarithms | |
| 3. Week | Algebraic functions, polynomial functions, rational functions, exponential functions, logarithmic functions. | |
| 4. Week | Limits and Continuity, a Variable Limit, Limit of a Function | |
| 5. Week | Limit Concerning Applications, Concept of Continuity of Functions | |
| 6. Week | Sequences and Series | |
| 7. Week | Introduction to Derivatives, Derivatives Left, Right Derivatives, Derivatives Rules | |
| 8. Week | Midterm Exam | |
| 9. Week | Derivatives of Inverse Functions, Composition of Functions Derivatives, Derivatives of Parametric Functions | |
| 10. Week | Implicit Differentiation, Successive Derivatives, trigonometric, Derivatives of Functions. | |
| 11. Week | Derivatives of inverse trigonometric functions, logarithmic and exponential functions | |
| 12. Week | Ascending Descending Functions, Extreme Points, convexity, concavity And Graphics Drawing | |
| 13. Week | Extreme Problems, Mean Value Theorem | |
| 14. Week | Aid Derivative of a Function Plots, Curve Asymptote Containing Drawings |
| Sherman K. Stein ve Anthony Barcellos Calculus ve Analitik Geometri, Cilt 1 ve 2. Türkçesi: Beno Kuryel ve Firuz Balkan. Literatür Yayıncılık San. Tic. Ltd. Şti. |
| George B Thomas, Ross L.Finney “Calculus ve Analitik Geometri”, Addison Wesley Tenth Edition, New York, Türkçe, (çeviren: Recep Korkmaz) |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | DK7 | Measurement Method |
|---|---|---|---|---|---|---|---|---|---|
| PY1 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY2 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY3 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY4 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY5 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY6 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY7 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY8 | 4 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY9 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| PY10 | 3 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | - |
| 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 | 3 | 42 |
| Midterm 1 | 1 | 13 | 13 |
| Homework 1 | 10 | 2 | 20 |
| Final | 1 | 27 | 27 |
| Total Workload | 102 | ||
| ECTS Credit of the Course | 4.0 | ||
