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Last update: doc. RNDr. Karel Houfek, Ph.D. (14.05.2023)
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Last update: Mgr. Kateřina Mikšová (14.02.2022)
Final examination (written and oral) takes place during the examination period and students must first obtain the credit for practical exercises. Credit for exercises is based on the solution of take-home problems (34%) and two tests (midterm and final, each 33%).
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Last update: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)
G. Strang, Introduction to Linear Algebra, Fifth Edition (2016), Robert T. Seeley, An Introduction to Fourier Series and Integrals, Dover Publications 2014. Lecture notes, materials for practical exercises. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)
The requirements for the exam correspond to the course syllabus to the extent that was given in the lectures and exercises. |
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Last update: doc. RNDr. Karel Houfek, Ph.D. (02.05.2023)
Line integral of scalar and vector field, vector potential, field with zero curl. Surface integral of scalar and vector field, Gauss-Green's theorem, Stokes‘ theorem. Integral form of divergence and curl. Fourier series, Bessel’s inequality, Parseval’s identity. Differentiation and integration of Fourier series. Fourier transformation of functions, Fourier inversion theorem, applications. Eigenvalues and eigenvectors of matrices, characteristic polynomial. Jordan normal form, basis of the eigenspace.
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