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Course description: This is an introductory course to di erential and integral calculus in several variables. Basic relations between curve and surface integrals are studied.
Curve and surface integrals, Stokes theorems. First-order differential equations, linear differential equations of the n-th degree with constant coefficients, system of linear differential equations with constant coefficients.
Basic information; Contacts; Materials: Literature
11.2 Calculus with Parametric Curves.pdf. Owner hidden. May 9, 2020. 1.2 MB. More info (Alt + →) 11.3 Polar Coordinates.pdf. Owner hidden. May 9, 2020. 840 KB. More info (Alt + →) 11.4 Graphing in Polar Coordinates.nb. Owner hidden. May 9, 2020. 1.5 MB. More info (Alt + →) 11.4 Graphing in Polar Coordinates.pdf. Owner hidden.
Multivariable Calculus. M. Korbelář, P. Vivi: Calculus 2, A collection of solved exercises; M. Korbelář, P. Vivi: Calculus 2 - Exercises; Differential Equations and Numerical Analysis. P. Habala: Ordinary Differential Equations and Numerical Analysis
The subject covers an introduction to the differential and integral calculus in several variables and basic relations between curve and surface integrals. Fourier series are also introduced. 1. Real plane, three dimensional analytic geometry, vector functions. 2. Functions of several variables: limits, continuity. 3.
Basic ideas and methods of differential an integral calculus of functions of several real variables, applications in geometry, physics and engineering practice. Study materials: Nagy J., Navrátil O.: Matematická analýza, Praha, skriptum FD ČVUT, 2017