Rapor Tarihi: 13.04.2026 03:14
| 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 | Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK |
| Instructor(s) | Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK (Bahar) |
| 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 | It explains the theories and principles related to the field. | ✔ | |||||
| 2 | It provides practical skills in the field of Biomedical Engineering by utilizing knowledge from health sciences and engineering. | ✔ | |||||
| 3 | It provides the ability to design and develop all or a component of a medical device, software, or product used in the healthcare field under realistic conditions. | ✔ | |||||
| 4 | It provides the ability to define, model, and solve a problem encountered in medicine using engineering approaches. | ✔ | |||||
| 5 | It explains how to effectively use current software and hardware. | ✔ | |||||
| 6 | It instills professional responsibility and ethical awareness. | ✔ | |||||
| 7 | It provides skills for working both with and independently in the healthcare sector. | ✔ | |||||
| 8 | To gain verbal and written communication skills. To enable effective use of a foreign language in professional life. | ✔ | |||||
| 9 | It raises awareness about the necessity of lifelong learning. | ✔ | |||||
| 10 | It provides the ability to access information, follow developments in science and technology, and continuously update oneself. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 |
|---|---|---|---|---|
| PY1 | 1 | 1 | 1 | 1 |
| PY2 | 2 | 2 | 2 | 2 |
| PY3 | 2 | 2 | 2 | 2 |
| PY4 | 4 | 4 | 4 | 4 |
| PY5 | 1 | 1 | 1 | 1 |
| PY6 | 2 | 2 | 2 | 2 |
| PY7 | 2 | 2 | 2 | 2 |
| PY8 | 2 | 2 | 2 | 2 |
| PY9 | 2 | 2 | 2 | 2 |
| PY10 | 4 | 4 | 4 | 4 |
| Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
|---|---|
| Diğer Kaynaklar |
|
| Bahar Dönemi | |||
| Responsible Personnel | Grup | Evaluation Method | Percentage |
|---|---|---|---|
| Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK | Vize | 40.00 | |
| Prof. Dr. Arzu ÖZKOÇ ÖZTÜRK | Final | 60.00 | |
| Toplam | 100.00 | ||
| ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
|---|---|---|---|---|
|
Ders İçi |
Class Hours | 14 | 6 | 84 |
|
Ders Dışı |
Homework | 14 | 1 | 14 |
| Practice | 14 | 2 | 28 | |
| Other Activities | 14 | 2 | 28 | |
| Total Workload | 154 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 | ||
