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Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (11.02.2022)
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Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)
Credit for the course is based on the tests taken during the semester (60%) and final “take-home” problem (40%). |
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Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (11.02.2022)
1. J. Nearing: Mathematical Tools for Physics, http://www.physics.miami.edu/nearing/mathmethods/ 2. G. B. Arfken et al.: Mathematical Methods for Physicists, Academic Press (2013) 3. D. J. Griffiths: Introduction to Electrodynamics, Cambridge University Press (2017) 4. lecture notes |
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Poslední úprava: doc. RNDr. Karel Houfek, Ph.D. (11.02.2022)
1. Differential calculus. Elementary functions. Derivatives, their properties and applications. Taylor series. Partial derivatives. 2. Integral calculus. Indefinite and definite integral. Geometric meaning. Methods of integration. 3. Euclidean geometry. Coordinates. Points, curves, surfaces. Geometric vectors, scalar and vector products. 4. Linear algebra. Vector space, basis, dimension. Rows, columns, matrices. Linear operators. 5. Differential equations. Classification. Solution, its existence and uniqueness. Linear ODEs with constant coefficients. 6. Surface and volume integrals. Differential operators. Gauss and Stokes theorems. |