| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics | MAT101 | Turkish | Compulsory | 1. Semester | 3 + 0 | 3.0 | 4.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Compulsory |
| Course Coordinator | Öğr. Gör. Canberk BATU |
| Instructor(s) | Öğr. Gör. Canberk BATU (Güz) |
| 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. |
| # | Öğrenme Kazanımı |
| 1 | To learn the basic concepts of mathematics, to gain problem solving skills and an engineering perspective. |
| 2 | To be able to associate the information gained, analyze and evaluate the data. |
| 3 | To be able to adapt the techniques and skills required for engineering applications in their field. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | The Concept of Limits in Univariate Functions. | Practice Interview |
| 2. Week | Applications of Limit in Functions of One Variable. | Practice Interview |
| 3. Week | Continuity-Discontinuity and Applications in Functions of One Variable. | Interview Practice |
| 4. Week | Derivatives and Rules of Derivatives in Functions of One Variable. | Practice Interview |
| 5. Week | Derivatives of Trigonometric, Logarithmic, Exponential, Hyperbolic Functions and Their Inverse and Closed Functions. | Practice Interview |
| 6. Week | Extreme and Absolute Extreme Points of Functions, Extreme Problems and Their Applications in Various Fields. | Practice Interview |
| 7. Week | Graph Drawings Using Derivative. | Practice Interview |
| 8. Week | Midterm | |
| 9. Week | Indefinite Integration and Methods of Integration: Variable Substitution, Partial Integration. | Practice Interview |
| 10. Week | Indefinite Integral and Integration Methods: Integral of Trigonometric, Rational and Irrational Functions. | Practice Interview |
| 11. Week | Definite Integral. | Interview Practice |
| 12. Week | Definite Integral Area and Curve Length Calculation. | Practice Interview |
| 13. Week | Definite Integral Volume Calculation. | Practice Interview |
| 14. Week | Solving Complex Problems Related to Definite Integrals. | Interview Practice |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 4 | Competence in defining, modelling and solving a problem concerning the field of forestry | ✔ | |||||
| 5 | Skill of using contemporary techniques and instruments needed for forestry practices | ✔ | |||||
| 6 | Skill of applying the knowledge of mathematics, science and engineering in forestry problems | ✔ | |||||
| 7 | Skill of designing and conducting experiments, analyzing the data, and interpreting the results | ✔ | |||||
| 12 | Knowledge and consciousness of quality | ✔ | |||||
| 13 | Consciousness of life-time learning | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 |
|---|---|---|---|
| PY4 | 3 | 3 | 3 |
| PY5 | 2 | 2 | 2 |
| PY6 | 5 | 5 | 5 |
| PY7 | 4 | 4 | 4 |
| PY12 | 1 | 1 | 1 |
| PY13 | 2 | 2 | 2 |
| 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 | 1 | 14 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 1 | 14 |
| Research | 14 | 1 | 14 | |
| Practice | 8 | 2 | 16 | |
| Other Activities | 14 | 1 | 14 | |
|
Sınavlar |
Midterm 1 | 1 | 1 | 1 |
| Final | 1 | 1 | 1 | |
| Classroom Activities | 14 | 2 | 28 | |
| Total Workload | 102 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 4.0 | ||
