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FCH-BAT_MAT2Acad. year: 2011/2012
Metric spaces, fix point theorem, the simple iteration method. Implicitely given functions and the geometrical meaning. Ordinary differential equations (ODE). First-order ODE's and linear higher-order order ODE's with constant coefficients. The numerical method of nets. Double and triple integrals, transformation theorem ans some important transformations, e.g. polar and spherical ones. Elementary information on curves. Elements of the field theory (Hamilton operator and its meaning, elementary kinds of fields). Curve and surface integrals, geometrical and physical applications. Integral theorems - Stokes, Gauss-Ostrogradski and Green, applications in physics. Complex numbers and elementary concepts of the complex analysis.Infinite series, numerical and functional. Elementary kinds of convergency and criterion for convergence. Power and Taylor series, the concept of an analytical function.
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branch NPCO_CHM , 1 year of study, winter semester, elective
branch CKCO_CZV , 1 year of study, winter semester, not stated
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