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Last update: T_KG (17.04.2015)
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Last update: T_KG (17.04.2015)
Acquainting PhD students with basic mathematical methods used in geophysical research |
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Last update: prof. RNDr. Ondřej Čadek, CSc. (06.10.2017)
Zápočet: Aktivní účast na cvičení a vypracování šesti domácích úkolu. Zkouška probíhá formou písemky, po které následuje ústní zkoušení. |
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Last update: T_KG (17.04.2015)
Mary L. Boas, Mathematical methods in the physical science, John Wiley, 1983 |
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Last update: T_KG (17.04.2015)
1. Complex numbers; exponential, trigonometric and hyperbolic functions; logarithms. 2. Scalars, vectors and tensors; linear algebraic equations, matrices and determinants. 3. Derivatives, partial derivatives, differentials; extremes of functions, Lagrange multipliers. Functions and limits. 4. Integrals and their evaluation, line and surface integrals; change of variables, Jacobians; differentiation of integrals, Leibnitz theorem. 5. Differential operators; Green, Stokes and Gauss theorems, transformation of coordinates, tensor analysis. 6. Fourier series; Legendre polynomials and spherical harmonic functions; Fourier and Laplace transform; distributions; convolution. 7. Ordinary differential equations and methods of their solution. |