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Last update: RNDr. Jakub Staněk, Ph.D. (14.06.2019)
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Last update: RNDr. Martin Rmoutil, Ph.D. (29.09.2020)
To successfully pass the subject, it is necessary to obtain credit ("zapocet") and pass the examination. Obtaining "zapocet" is a necessary condition for signing into an examination. Credit will be granted if, and only if, the student correctly solves all the problems from designated problem sets distributed by the lecturer during the term. The last set will be sent sufficiently in advance before the beginning of the examination period. The student solves the problems and sends his solutions to the lecturer who, in turn, provides feedback to the student. In case of faulty solutions, the student needs to repeat the first step until his or her solutions are correct. |
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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. (29.09.2020)
The subject is finished by passing an exam. Depending on the epidemic situation, the exam may take two forms: either it will be a written exam followed possibly by an oral complement, or it will be an online oral exam using Zoom. It can also happen that both approaches will need to be combined, in which case the examinator (i.e. the lecturer) will be extra careful to level the difficulty levels of both methods.
Further information in English will be provided by the lecturer upon request. Any such requests should kindly be sent to rmoutil[at]karlin.mff.cuni.cz. |
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Last update: RNDr. Martin Rmoutil, Ph.D. (29.09.2020)
Ordinary differential equations, existence and uniqueness of solutions.
Basic types of first-order equations, linear differential equations of the n-th order (especially with constant coefficients).
Infinite series, absolute and nonabsolute convergence, criteria of convergence. |