Study program:
Geophysics (IV semester -BsC) |
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Name of subject: Methods of Mathematical Physics |
Instructors:
Prof. Dragutin Jovković |
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Status: Compulsory |
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ECTS: 6 |
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Prerequisites: - |
Course Objectives:
Mastering of mathematical physics methods by gaining knowledge about the theories of fields, special functions and second-order partial equations. |
Learning Outcomes:
Knowledge and skills needed to solve various problems in geophysics, including familiarity with the theoretical background essential for the understanding of highly specialized courses. |
Content:
Theory teaching
Scalar field. Directional derivative. Gradient. Nabla, Laplace-operator. Vector field. Divergence. Rotor. Classification of vector fields. Potential. Integral theories. Generalized coordinates. Gradient, divergence and rotor in generalized coordinates. Power series solution of differential equations. Orthogonal functions. Function series. Special functions. Completeness of orthogonal functions. Periodic functions. Fundamental theorem of Fourier order convergence. Fourier series of even and odd functions. Fourier sine and cosine series. Function approximation by trigonometric polynomial. Partial differential equations. Second-order linear partial differential equations. Classification. Reduction to canonical form. Fourier decomposition method. Practical teaching
Calculation assignments. |
Suggested Reading List:
- Kuzmanović D, Sedmak A, Obradović I i Nikolić D 2003 Matematička fizika (Beograd: Rudarsko-geološki fakultet Univerziteta u Beogradu)
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Conduct of the Course:
Lectures and follow-up on-the-board practicals, to ensure a better understanding of the course. |
Fund hours:
| Lectures |
Exercises |
Other forms of teaching |
Study research |
| 3 |
2 |
0 |
0 |
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Assessment:
| Final Exam |
ECTS |
| Oral Exam | 30 |
| Classwork Assessment |
ECTS |
| Class Participationа | 10 | | Written tests | 40 | | Seminars | 20 |
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Additional Assessment Criteria: - |
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