Terminated in academic year 2009/2010

Applied Mathematics

Type of study	Follow-up Master
Language of instruction	Czech
Code	714-0625/07
Abbreviation	AM
Course title	Applied Mathematics
Credits	6
Coordinating department	Department of Mathematics and Descriptive Geometry
Course coordinator	Mgr. Jiří Vrbický, Ph.D.

Subject syllabus

1. Complex numbers. Infinite complex number series.
2. Complex functions of a complex variable and mappings. Elementary functions of complex variable.
3. Complex differentiation. Cauchy - Riemann equations.
4. Integration of complex variable function. Cauchy´s theorems.
5. Taylor´s and Laurent´s series.
6. Singularities,residues, applications. Laplace transform, definition.
7. Properties of Laplace transformation.
8. Backward Laplace transformation.
9. Applications.
10. Integral transform. Fourier transform.
11. Equations of mathematical physics.Fourier’s method.
12. Combination of variable method. Green’s function method.
13. Aplications.
14. Reserve.

E-learning

http://www.studopory.vsb.cz
http://mdg.vsb.cz/M/
http://am.vsb.cz/bouchala
http://am.vsb.cz/kozubek

Literature

James, G.: Modern Engineering Mathematics. Addison-Wesley, 1992.
ISBN 0-201-1805456
James, G.: Advanced Modern Engineering Mathematics. Addison-Wesley, 1993.
ISBN 0-201-56519-6

Advised literature

Harshbarger, R.J.-Reynolds, J.J.: Calculus with Applications.
D.C.Heath and Company, Lexington1990,

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