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The course is offered to the PhD students who did not attend the basic lectures in mathematics at the Faculty of
Mathematics and Physics. The goal of the course is to deepen the knowledge of the mathematical methods used
in geophysical research and to gain practice in using them.
Last update: T_KG (17.04.2015)
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Acquainting PhD students with basic mathematical methods used in geophysical research Last update: T_KG (17.04.2015)
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Zápočet: Aktivní účast na cvičení a vypracování šesti domácích úkolu. Zkouška probíhá formou písemky, po které následuje ústní zkoušení. Last update: Čadek Ondřej, prof. RNDr., CSc. (06.10.2017)
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Mary L. Boas, Mathematical methods in the physical science, John Wiley, 1983 Last update: T_KG (17.04.2015)
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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. Last update: T_KG (17.04.2015)
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