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Advanced theory of matrices, number series, ordinary differential equations and their systems. Curved and surface
integral.
Last update: Mikšová Kateřina, Mgr. (23.04.2018)
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It is necessary to have "započet" in order to be able to sign for examination.
To get "započet" one should have at least 50 points. There will be two midterm written test (35 points each), two homeworks (10 point each), and 10 points one can obtain based on the presence on seminars.
Last update: Rokyta Mirko, doc. RNDr., CSc. (28.10.2019)
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Kopáček, J. a kol.: Matematika pro fyziky, díly II-IV, skriptum MFF UK Last update: Rokyta Mirko, doc. RNDr., CSc. (28.10.2019)
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Each examination has written and oral part. Written part contains of 4 problems from the following topics: convergence of numer series, eigenvectors and eigenvalues of matrices, ODE, integral along curves and along surfaces.
Not passing the written test means the exam is not passed as a whole and one should apply for another attempt. Passing the written part means one proceeds to the oral part. Not passing the oral part means the exam is not passed as a whole and one should apply for another attempt (both parts). The exam is finally assigned a mark, taking into account the both parts of the exam. Last update: Rokyta Mirko, doc. RNDr., CSc. (28.10.2019)
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Series of numbers, convergent and divergent series, absolute convergence, Taylor series. Eigenvalues and Eigen functions of matrices, characteristic polynomial. Ordinary differential equations and their systems, basic methods of solution, Bernoulli equation, Euler equation. Equations in exact form. Solution of ODE by Taylor series. Curved integral of 1st and 2nd type. Potential of a vector field. Rotation-free field. Surface integral of 1st and 2nd type. Gauss-Green theorem, Stokes theorem. Last update: Rokyta Mirko, doc. RNDr., CSc. (28.10.2019)
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