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Last update: G_M (16.05.2012)
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Last update: doc. RNDr. Pavel Pyrih, CSc. (31.01.2021)
CONDITIONS FOR SEMESTER 2020/21
Credit will be awarded after the elaboration of tasks (see the link below).
Gaining credit is a condition for taking the exam.
The form of the exam will be full-time or distance and will always be specified in the SIS for individual dates.
The full-time form of the exam will take place as in previous semesters (see the link below).
The distance form of the exam will take place in the Zoom environment and will be a modification of the full-time form.
Everything is described in more detail on the page
http://matematika.cuni.cz/pyrih-kalkulus.html |
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Last update: doc. RNDr. Pavel Pyrih, CSc. (28.10.2019)
J. Kopáček: Matematika pro fyziky IV, V S. Fučík, J. Milota: Matematická analýza II B. Novák: Funkce komplexní proměnné |
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Last update: doc. RNDr. Pavel Pyrih, CSc. (31.01.2021)
see
http://matematika.cuni.cz/pyrih-kalkulus.html |
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Last update: doc. RNDr. Pavel Pyrih, CSc. (31.01.2021)
see Course completion requirements |
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Last update: T_KMA (30.09.2013)
Power series and its convergence radius, derivative and integral of power series. Holomorphic functions, Cauchy-Riemann conditions, primitive functions, curve integral, Cauchy theorem,, Cauchy formula, Liouville theorem, power expansions of holomorphic functions, uniqueness theorem. Laurent series, residues and their application to integrals of real functions. Gamma function on complex numbers. Laplace and Fourier transforms Basic properties and relations, transforms of elementary functions. Inverse Laplace and Fourier transforms. Application to solution of differential equations.
Calculus of variations. Extremal values of L(y)=Integral( f(x,y(x),y'(x)) , dx) and Euler equations, isoperimetrical problems.
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Last update: doc. RNDr. Pavel Pyrih, CSc. (28.10.2019)
Previous knowledge of Kalkulus 1 and 2 and 3 will be useful. |