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Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
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Last update: RNDr. Jakub Staněk, Ph.D. (10.10.2020)
To succesfully pass the subject it is necessary to obtain "zapocet" (a necessary condition for signing to an examination) and pass the examination.
The conditions for obtaining "zapocet" consist of passing two short tests (will be announced by the teacher). The tests will consist of computation problems. Precise conditions for obtaining "zapocet" will be specified by the teacher. |
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Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
Veselý, J. Základy matematické analýzy I. Matfyzpress, Praha, 2004.
Veselý, J. Základy matematické analýzy II. Matfyzpress, Praha, 2009.
Kopáček, J. Matematická analýza nejen pro fyziky I. Matfyzpress, Praha, 2005.
Kopáček, J. Příklady z matematiky nejen pro fyziky I. Matfyzpress, Praha, 2004.
Černý, I. Úvod do inteligentního kalkulu. Academia, Praha, 2002.
Brabec, J. a kol. Matematická analýza I. SNTL/Alfa, Praha, 1985.
Jarník, V. Diferenciální počet I. Academia, Praha, 1974.
Trench, W. F. Introduction to Real Analysis. Dostupné z http://ramanujan.math.trinity.edu/wtrench/texts/TRENCH_REAL_ANALYSIS.PDF
Hairer, E., Wanner, G. Analysis by its History. Springer, 2008. |
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Last update: RNDr. Martin Rmoutil, Ph.D. (29.10.2019)
The exam consists of written and oral part. If the result is clear already based on the written part, the oral exam need not happen. Precise requirements will be in accordance with the contents of the class and will be specified in detail on the website of the lecturer (there will be a .pdf file detailing the definitions, theorems, proofs etc. that might be in the exam).
Not passing the written test means the exam is not passed as a whole and one should apply for another attempt. 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 both parts of the exam. |
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Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
Real numbers, supremum. Sequences and their limits. Functions, elementary functions. Continuity, properties of continuous functions. Derivative, mean value theorem and its corollaries, L'Hôpital's rule, Taylor's theorem, maxima and minima. Infinite series, absolute and nonabsolute convergence, criteria of convergence. |