| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematical Methods in Physics I | FIZ207 | 3. Semester | 3 + 2 | 4.0 | 7.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Undergraduate |
| Course Type | |
| Mode of delivery | Face to face |
| Course Coordinator |
Prof. Dr. Kadir GÖKŞEN |
| Instructors | |
| Assistants | |
| 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 |
| Learning Outcomes |
- Application to physical problems the functional complex variable in physics. - Knowing algebra of vectors. - Using of differential operators of vector. - Making the necessary mathematical background for the solution of physics problems. - Distinguishing different coordinate systems - Distinguishing Integral Theorems. |
| Week | Topics | Learning Methods |
|---|---|---|
| 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 |
| • Bekir Karaoğlu, “Fizik ve Mühendislikte Matematik Yöntemler”, Seyir Yayıncılık, 4. Press, 2004, İstanbul.. |
| • George Arfken, “Mathematical Methods for Physicists”, 3.rd Edition, Academic Press. |
| • Selçuk Bayın, “Fen ve Mühendislik Bilimlerinde Matematik Yöntemler” METU Press, Ankara. |
| • Coşkun Önem, “Mühendislik ve Fizikte Matematik Metotlar”, Birsen yayınevi, 3. Press, 2003. |
| • Eugene Butkov “Mathematical Physics”, Addison esley. |
| Program Requirements | Contribution Level | DK1 | DK2 | DK3 | DK4 | DK5 | DK6 | Measurement Method |
|---|---|---|---|---|---|---|---|---|
| PY1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY4 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| PY5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY6 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY7 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY8 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY9 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | - |
| PY10 | 4 | 4 | 4 | 4 | 4 | 4 | 4 | - |
| 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 | 5 | 70 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Research | 14 | 2 | 28 |
| Other Activities | 14 | 2 | 28 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 14 | 1.5 | 21 |
| Final | 1 | 2 | 2 |
| Total Workload | 179 | ||
| ECTS Credit of the Course | 7.0 | ||
