Rapor Tarihi: 24.02.2026 22:00
| Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|---|---|
| Mathematical Methods in Physics I | FIZ207 | Turkish | Compulsory | 3. Semester | 3 + 2 | 4.0 | 7.0 |
| Prerequisite Courses | |
| Course Level | Undergraduate |
| Mode of delivery | Face to face |
| Course Coordinator | Prof. Dr. Kadir GÖKŞEN |
| Instructor(s) | |
| Goals | Understanding and application of mathematical operations used in the Analysis of Physical Problems. |
| Course Content | Vector algebra, Scalar and Vector Product, Scalar and Vector Triple Product, Direction cosines and sine cosine theorems, Differential Vector Operators Scalar and Vector Fields, Gradient, Divergence, Rotational and Laplacian, curvilinear Coordinates, Representation in the Curvilinear Coordinates of Gradient, Divergence, Rotational and Laplacian Operator, Line Integrals, Green's Theorem, Divergence and Stokes' Theorems, Algebra of Complex Numbers and Complex Variables and Functions, Cauchy-Riemann Conditions and Cauchy's Theorem, Cauchy's integral form and the Taylor and Laurent Series, Classification of Singular Points, Integral Solutions by the Method of Residues |
| # | Öğrenme Kazanımı |
| 0 | Application to physical problems the functional complex variable in physics. |
| 0 | Knowing algebra of vectors. |
| 0 | Using of differential operators of vector. |
| 0 | Making the necessary mathematical background for the solution of physics problems. |
| 0 | Distinguishing different coordinate systems |
| 0 | Distinguishing Integral Theorems. |
| Week | Topics/Applications | Method |
|---|---|---|
| 1. Week | Vector algebra, Scalar and Vector Product | |
| 2. Week | Scalar and Vector Triple Product, Direction cosines and sine cosine theorems | |
| 3. Week | Differential Vector Operators Scalar and Vector Fields | |
| 4. Week | Gradient, Divergence, Rotational and Laplacian | |
| 5. Week | Curvilinear Coordinates | |
| 6. Week | Representation in the Curvilinear Coordinates of Gradient, Divergence, Rotational and Laplacian Operator | |
| 7. Week | Line Integrals, Green's Theorem | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Divergence and Stokes' Theorems | |
| 10. Week | Algebra of Complex Numbers and Complex Variables and Functions | |
| 11. Week | Cauchy-Riemann Conditions and Cauchy's Theorem | |
| 12. Week | Cauchy's integral form and the Taylor and Laurent Series | |
| 13. Week | Classification of Singular Points | |
| 14. Week | Integral Solutions by the Method of Residues |
| No | Program Requirements | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Retaining and administering the fundamentals of theoretical and experimental applications of Classical and Modern Physics. | ✔ | |||||
| 2 | Interpreting the encountered problems in accordance with the principles of physics and attaining the ability of problem solving. | ✔ | |||||
| 3 | Gaining the ability of establishing the connection between the theories and applications of physics. | ✔ | |||||
| 4 | Gaining the ability of following and interpreting physics literature. | ✔ | |||||
| 5 | Gaining the ability of analytical thinking by looking at the cases from physical perspective. | ✔ | |||||
| 6 | Utilizing the knowledge of other disciplines and using their approaches in physics. | ✔ | |||||
| 7 | Retaining the ability of gathering, comparing and analyzing physical data, and producing and presenting solution for it. | ✔ | |||||
| 8 | Attaining basics of following up to date physics literature and utilizing it through communicating with colleagues. | ✔ | |||||
| 9 | Setting theoretical model, solving problems related with the model, approaching the model experimentally and interpreting the obtained experimental data by analyzing. | ✔ | |||||
| 10 | Understanding the importance of life-long learning in physics which is open for new advances and staying in connection with life-long learning. | ✔ | |||||
| Program Requirements | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 |
|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY3 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 |
| PY5 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY7 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY8 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY9 | 5 | 5 | 5 | 5 | 5 | 5 |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 |
| 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 | 5 | 70 |
|
Ders Dışı |
Preparation, After Class Study | 14 | 2 | 28 |
| Research | 14 | 2 | 28 | |
| Other Activities | 14 | 2 | 28 | |
|
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1.5 | 21 | |
| Final | 1 | 2 | 2 | |
| Total Workload | 179 | |||
| *AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 7.0 | ||
