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.
Syllabus: Math2
Examinations, assessment of results: Examinations
Literature:
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:
Dictionary_Czech-English.doc,Dictionary_English-Czech.doc
Audio dictionaries of mathematical formulas for downloading
Algebra.doc, BasicNumbers.doc, Calculus.doc, Functions.doc, Geometry.doc, SimpleArithmetic.doc, Trigonometry.doc