Mathematical Methods in Physics 390-FS2-1MMF
Elements of differential geometry: vectors, kovytectors, covariant derivative, differential operators (laplassian, rotation, divergence) in any coordinate system.
Elements of complex analysis. Holomorphic functions, singular points, residue theorem. Basic information about conformal mappings, Euler's gamma function and elliptic functions.
Ordinary differential equations of the second order with variable coefficients. The Frobenius method (solution by series expansion). Basic information about the Bessel equation, the Fuchs equation and the hypergeometric series.
Classical orthogonal polynomials. Generating functions. Spherical harmonics.
Hilbert space. Integral operators. The operator's spectrum. Distributions. Convolution. Fourier series. Fourier transformation.
The boundary and initial problem for different types of partial differential equations of the second order. Basic information about methods of solving these equations, such as separation of variables, Fourier transform, or Green functions.
Type of course
Course coordinators
Term 2024: | Term 2025: |
Learning outcomes
Knowledge, the graduate knows and understands:
KP7_WG1 in depth the mathematical issues necessary in physics and astronomy within the scope provided for in the curriculum
KP7_WG3 issues related to tools and methods used in various fields of physics, and in the scope provided for in the curriculum, medical applications
Skills, the graduate is able to:
KP7_UW1 to properly select mathematical models to solve and analyze physical problems
KP7_UW3 quantitatively and qualitatively explain the course of complex phenomena based on the laws of physics
Social competences, the graduate is ready to:
KP7_KK2 critical evaluation of the knowledge possessed by facing real research and applied problems
KP7_KO1 creative thinking and acting in research, development and service institutions using the tools and achievements of physics
Additional information
Additional information (registration calendar, class conductors, localization and schedules of classes), might be available in the USOSweb system: