| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematics II | MAT112 | Turkish | Compulsory | 2. Semester | 5 + 1 | 6.0 | 6.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to Face |
| Course Coordinator | Doç. Dr. ZAKİR DENİZ |
| Instructor(s) | |
| Goals | To teach indefinite integral, methods of indefinite integral,Properties of the integral, Theorems related with the Riemann integral,Applications of the Riemann integral (Calculation of Area, length of arc, volume and surface area), Generalized integrals and their properties, functions of several variables |
| Course Content | Integration methods, Riemann within the meaning of the definite integral, integral calculation of the basic theorems, by means of integral field, arc length, volume, rotary surface area calculation, improper integrals |
| # | Öğrenme Kazanımı |
| 1 | Applies the methods of integration |
| 2 | Understand the applications of definite integral |
| 3 | Interpret the properties of generalized integrals. |
| 4 | Solves limit and continuity problems in highly variable functions |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Indefinite Integral, Indefinite Integration Rules, Variable Change Method | Interview |
| 2. Week | Partial İntegration Method, Simple Fractionation Method | Interview |
| 3. Week | Integral of Trigonometric Expressions | Interview |
| 4. Week | Integration of Irrational Algebraic Expressions, Binomial Integral, Various Variable Substitutions | Interview |
| 5. Week | The concept of definite integral, Division of interval, Sum of Riemann and definite integral definition | Interview |
| 6. Week | Properties of Definite Integrals and Basic Theorems | Interview |
| 7. Week | Properties of Definite Integrals and Basic Theorems | Interview |
| 8. Week | Applications of Definite Integral: Area Calculation | |
| 9. Week | Applications of Definite Integral: Area Calculation | Interview |
| 10. Week | Applications of Indefinite Integrals: Volume Calculation | Interview |
| 11. Week | Applications of Definite Integral: Arc length, Area of Surface of Revolution | Interview |
| 12. Week | Applications of Definite Integral: Moment and Center of Gravity | Interview |
| 13. Week | Improper Integral | Interview |
| 14. Week | ntroduction to Multivariable Functions, Definition of Multivariable Function and Definition Set., Limit, Continuity and Partial Derivative Concepts | Interview |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Mathematics, science and engineering to gain practical skills in Mechatronics Engineering | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Sınavlar |
Midterm 1 | 1 | 50 | 50 |
| Final | 1 | 77.5 | 77.5 | |
| Total Workload | 127.5 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
