| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematics | MAT101 | 1. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Compulsory |
| Course Coordinator |
Lect. Canberk BATU |
| Instructors |
Canberk BATU |
| Assistants | |
| Goals | Saving of mathematical skills to the students on theirs own area. |
| Course Content | Limit concept in functions of one variable, Continuity-discontinuity in functions and its applications, Derivative in functions of one variable, derivative rules and applications, Derivatives of trigonometric, logarithmic, exponential, hyperbolic functions and their inverses and closed functions, Extremum points of functions and extremum problems, Graph drawings with the help of derivative, L'Hospital Rule and limit calculations with the help of this rule. Indefinite integral and integration methods, Change of variable, Partial integration, Integration of trigonometric, irrational functions, Definite integral, Area and curve length calculations with definite integral, Volume calculations with definite integral and applications to various fields. |
| Learning Outcomes |
- To learn the basic concepts of mathematics, to gain problem solving skills and an engineering perspective. - To be able to associate the information gained, analyze and evaluate the data. - To be able to adapt the techniques and skills required for engineering applications in their field. |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | The Concept of Limits in Univariate Functions. | Verbal Expression Practice |
| 2. Week | Applications of Limit in Functions of One Variable. | Practice Verbal Expression |
| 3. Week | Continuity-Discontinuity and Applications in Functions of One Variable. | Verbal Expression Practice |
| 4. Week | Derivatives and Rules of Derivatives in Functions of One Variable. | Verbal Expression Practice |
| 5. Week | Derivatives of Trigonometric, Logarithmic, Exponential, Hyperbolic Functions and Their Inverse and Closed Functions. | Practice Verbal Expression |
| 6. Week | Extreme and Absolute Extreme Points of Functions, Extreme Problems and Their Applications in Various Fields. | Verbal Expression Practice |
| 7. Week | Graph Drawings Using Derivative. | Verbal Expression Practice |
| 8. Week | Midterm | |
| 9. Week | Indefinite Integration and Methods of Integration: Variable Substitution, Partial Integration. | Verbal Expression Practice |
| 10. Week | Indefinite Integral and Integration Methods: Integral of Trigonometric, Rational and Irrational Functions. | Verbal Expression Practice |
| 11. Week | Definite Integral. | Practice Verbal Expression |
| 12. Week | Definite Integral Area and Curve Length Calculation. | Verbal Expression Practice |
| 13. Week | Definite Integral Volume Calculation. | Verbal Expression Practice |
| 14. Week | Solving Complex Problems Related to Definite Integrals. | Verbal Expression Practice |
| Balcı, Mustafa; General Mathematics , Balcı Publications |
| Halilov, Hüseyin; Hasanoğlu Alemdar; Can , Mehmet;Higher Mathematics; Literatür Publishing |
| James Stewart; Calculus; Tüba Publications |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | Measurement Method |
|---|---|---|---|---|---|
| PY4 | 3 | 3 | 3 | 3 | 40,60 |
| PY5 | 2 | 2 | 2 | 2 | 40,60 |
| PY6 | 5 | 5 | 5 | 5 | 40,60 |
| PY7 | 4 | 4 | 4 | 4 | 40,60 |
| PY12 | 1 | 1 | 1 | 1 | 40,60 |
| PY13 | 2 | 2 | 2 | 2 | 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) |
|---|---|---|---|
| Course Hours | 14 | 1 | 14 |
| Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 1 | 14 |
| Other Activities | 14 | 1 | 14 |
| Practice | 8 | 2 | 16 |
| Midterm 1 | 1 | 1 | 1 |
| Final | 1 | 1 | 1 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 102 | ||
| ECTS Credit of the Course | 4.0 | ||
