Skip to main content
Skip header

Mathematics II

Type of study Bachelor
Language of instruction English
Code 310-2212/03
Abbreviation M II
Course title Mathematics II
Credits 6
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator RNDr. Jan Kotůlek, Ph.D.

Subject syllabus

1 Differential calculus of functions of two or more real variables. Functions of two or more variables, graph,
2 Partial derivatives of the 1-st and higher order.
3 Total differential of functions of two variables, tangent plane and normal to a surface, extrema of functions.
4 Integral calculus of functions of one variable. Antiderivatives and indefinite integral. Integration of elementary functions.
5 Integration by substitutions, integration by parts.
6 Integration of rational functions.
7 Definite integral and methods of integration.
8 Geometric and physical application of definite integrals.
9 Ordinary differential equations. General, particular and singular solutions. Separable equations.
10 Homogeneous equations. Exact equations. Linear differential equations of the first order, method of variation of arbitrary constant.
11 2nd order linear differential equations with constant coefficients, linearly independent solutions, Wronskian,fundamental
system of solutions.
12 2nd order LDE with constant coefficients - method of variation of arbitrary constants, method of undetermined coefficients.
13 Application of differential equations

E-learning

Literature

[1] KREML, P: Mathematics II, Ostrava 2005, 80-248-0798-X. http://mdg.vsb.cz/portal/en/Mathematics2.pdf
[2] JAMES, G.: Modern Engineering Mathematics. Addison-Wesley, 1992. ISBN 0-201-1805456.

Advised literature

[1] James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993. ISBN 0-201-56519-6.
[2] Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications. D.C.Heath and Company, Lexington1990, ISBN 0-669-21145-1 .