Czech

Not applicable.

Institute of Mathematics and Descriptive Geometry (MAT)

Of all faculties

The students should be versed in the basic notions of the theory of functions of one and several variables (derivative, partial derivative, limit, continuous functions, graphs of functions). They should be able to calculate integrals of function of one variable, know their basic applications.

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Students should learn the basics about double and tripple integrals and their applications, they should know how to calculate such integrals using the Fubini theorems and standard transformations, get familiar with line integrals both in a scalar and vector field and their applications, calculate simple line integrals.
They should learn the basic facts on selected first-order differential equations, on existence and uniqueness of solutions, be able to find analytical solutions to separated, linear, 1st-order homogeneous, and exact differential equations, calculate the solution of a non-homogeneous linear nth-order differential equation with special right-hand sides as well as using the general method of the variation of constants, understand the structure of solutions to non-homogeneous nth-order linear differential equations.
Knowledge of double and triple integrals, their calculation and application. Knowledge of curvilinear integral in a scalar and vector field, their calculation and application. Knowledge of basic facts on existence, uniqueness and analytical methods of solutions on selected first-order differential equations and nth-order linear differential equations.

Not applicable.

Not applicable.

Eliáš, J., Horváth, J., Kajan, J., Śulka, R., Zbierka úloh z vzššej matamatiky 3 a 4, Alfa Bratislava 1979. (SK)
Jirásek, F., Čipera, S., Vacek, M.,Sbírka řešených příkladů z matematiky II, SNTL Praha 1986. (CS)

Škrášek, J., Tichý Z., Základy aplikované matematiky II, Praha SNTL 1986. (CS)