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CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2019/2020

Calculus 2

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Code Completion Credits Range Language
11CAL2 Z,ZK 5 2P+3C+20B Czech
Lecturer:
Magdalena Hykšová, Ondřej Navrátil (guarantor)
Tutor:
Magdalena Hykšová, Ondřej Navrátil (guarantor), Martina Bečvářová, Oldřich Hykš, Tomáš Třasák, Olga Vraštilová
Supervisor:
Department of Applied Mathematics
Synopsis:

Antiderivative, Newtonian integral, Riemannian integral of the function of one variable, improper Riemannian integral, Riemannian integral in Rn. Parametric description of regular k-dimensional surfaces in Rn, Riemannian integral over regular surfaces. Line and surface integrals of the second type, Stokes theorems, ordinary differential equations of the first order, linear differential equations with constant coefficients and its systems.

Requirements:

differential calculus, linear algebra

Syllabus of lectures:
Syllabus of tutorials:
Study Objective:

Basic methods of integration of functions of one real variable, use of integrals in geometry and physics, mathematical formulation of conservation laws, solution of simple differential equations and its systems.

Study materials:

Nagy J., Navrátil O.: Matematická analýza, Praha, skriptum FD ČVUT, 2010

Nagy J., Navrátil O.: Diferenciální a integrální počet funkcí více proměnných, Praha, skriptum FD ČVUT, 2005

Rektorys K. a kol.: Přehled užité matematiky, Praha, SNTL, 1968

Note:
Time-table for winter semester 2019/2020:
Time-table is not available yet
Time-table for summer semester 2019/2020:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2020-02-17
For updated information see http://bilakniha.cvut.cz/en/predmet3663206.html