Mathematics II

English Programme

Course title: Mathematics II


About the course


The course is organized in 14 hundred-and-fifty-minute lectures and 28 hundred-minute seminars.

The curriculum and teaching is supervised by: Prof. RNDr. Josef Šlapal, CSc.


Curriculum summary


The subject of the course includes calculus of functions in several variables including the search for maxima and minima, calculations of limits, derivatives, differentials, double and triple integrals. Line and surface integrals are calculated both in the scalar and vector field. In practice lessons, students may practice with the MAPLE mathematical software.

: Math2


Examinations, assessment of results: Examinations



Salas, S.L., Hille, E., Etgen, G.J.: Calculus: One and Several Variables, Wiley, 2002,

Voxman, W.L., Goetschel, R.H.: Advanced Calculus, Marcel Dekker, Inc., New York, 1981.

Thomas G.B., Finney R.L.: Calculus and Analytic Geometry (7th edition) 1997

Thomas G. B.: Calculus (Addison Wesley, 2003) 2004


Lectures for downloading:

3D_surfaces.ppt, AbsoluteMaxMin.ppt, Basics.ppt, Curve.ppt, Differential.ppt, DirectionalDerivative.ppt, DoubleIntegral.doc, ImplicitFunction.ppt, Limits.ppt, LineIntegral1.ppt, LineIntegral2.ppt, LocalMaxMin.ppt, PartialDervative1.ppt, PartialDervative2.ppt, RelativeMaxMin.ppt, SurfaceIntegral.ppt, TangentPlane.ppt, Topology.ppt, TrippleIntegral.ppt, VectorOperators.ppt


Dictionaries for downloading:



Audio dictionaries of mathematical formulas for downloading

Algebra.doc, BasicNumbers.doc, Calculus.doc, Functions.doc, Geometry.doc, SimpleArithmetic.doc, Trigonometry.doc