| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Mathematical Methods In Physics-2 | FIZ704 | 3 + 0 | 3.0 | 7.5 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Prof. Dr. Kadir GÖKŞEN |
| Instructor(s) | |
| Assistants | |
| Goals | Learning the advanced methods additional to the basic mathematical knowledge and using the knowledge in applications. |
| Course Content | Differential equation with partial derivation; common and special solutions, important equations with partial derivation ,Wave equation, diffusion equation, unity and existence of solutions;method of separation of variables, general method,Separation of variables in polar coordinates,Integral transformation method, inhomogeneous problems andGreen functions, Green functions in one-dimension,Eigenfunction of Green functions, multi-dimensional Green function,Formalism, multi-dimensional Green functions and delta function,Applications of Green function in multi-dimension,Elliptical equations, parabolic equations, hyperbolic equations,Fourier transformation method,Eigenfunction method. |
| Learning Outcomes |
- |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Differential equation with partial derivation; common and special solutions, important equations with partial derivation, common and special solutions, | |
| 1. Week | Differential equation with partial derivation; common and special solutions, important equations with partial derivation, common and special solutions, | |
| 2. Week | Wave equation, diffusion equation, unity and existence of solutions; | |
| 2. Week | Wave equation, diffusion equation, unity and existence of solutions; | |
| 3. Week | Differential equations with partial derivation: method of separation of variables, separation of variables, general method, | |
| 3. Week | Differential equations with partial derivation: method of separation of variables, separation of variables, general method, | |
| 4. Week | Differential equations with partial derivation: method of separation of variables, separation of variables, general method, | |
| 4. Week | Differential equations with partial derivation: method of separation of variables, separation of variables, general method, | |
| 5. Week | Separation of variables in polar coordinates, | |
| 5. Week | Separation of variables in polar coordinates, | |
| 6. Week | Integral transformation method, inhomogeneous problems and | |
| 6. Week | Integral transformation method, inhomogeneous problems and | |
| 7. Week | Green functions; Green functions: Green functions in one-dimension, | |
| 7. Week | Green functions; Green functions: Green functions in one-dimension, | |
| 8. Week | MIDTERM EXAM | |
| 8. Week | MIDTERM EXAM | |
| 9. Week | Eigenfunction of Green functions, multi-dimensional Green function | |
| 9. Week | Eigenfunction of Green functions, multi-dimensional Green function | |
| 10. Week | Formalism, multi-dimensional Green functions and delta function, | |
| 10. Week | Formalism, multi-dimensional Green functions and delta function, | |
| 11. Week | Applications of Green function in multi-dimension, | |
| 11. Week | Applications of Green function in multi-dimension, | |
| 12. Week | Elliptical equations, parabolic equations, hyperbolic equations | |
| 12. Week | Elliptical equations, parabolic equations, hyperbolic equations | |
| 13. Week | Elliptical equations, parabolic equations, hyperbolic equations | |
| 13. Week | Elliptical equations, parabolic equations, hyperbolic equations | |
| 14. Week | Fourier transformation method | |
| 14. Week | Fourier transformation method |
| • G. Arfken, Mathematic Methods for Physicists, Academic Press, 1985. • P. Dennery, A. Krzywicki, Mathematics for Physicists, Dower Publications, 1996. • J. Mathews, R.L.Walker, Mathematical Methods of Physics, 2nd Edition, W.A. Benjamin, 1970 |
| • G. Arfken, Mathematic Methods for Physicists, Academic Press, 1985. • P. Dennery, A. Krzywicki, Mathematics for Physicists, Dower Publications, 1996. • J. Mathews, R.L.Walker, Mathematical Methods of Physics, 2nd Edition, W.A. Benjamin, 1970 |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 5 | - | 40,60 |
| PY2 | 5 | - | 40,60 |
| PY3 | 5 | - | 40,60 |
| PY4 | 5 | - | 40,60 |
| PY5 | 4 | - | 40,60 |
| PY6 | 4 | - | 40,60 |
| PY7 | 5 | - | 40,60 |
| PY8 | 5 | - | 40,60 |
| PY9 | 5 | - | 40,60 |
| PY10 | 4 | - | 40,60 |
| 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 | 3 | 42 |
| Preparation, After Class Study | 14 | 3 | 42 |
| Research | 14 | 3 | 42 |
| Other Activities | 14 | 3 | 42 |
| Midterm 1 | 1 | 2 | 2 |
| Homework 1 | 1 | 19.25 | 19.25 |
| Final | 1 | 2 | 2 |
| Total Workload | 191.25 | ||
| ECTS Credit of the Course | 7.5 | ||
