Czech

Not applicable.

After the completion of the course the students should be able
- use some methods to solve differential equations
- use Laplace and Fourier transformation for solving differential and integral equations in physics and engineering
- use Z- transformation for solving discrete equations
- define the basic principles of numerical analysis
- use the methods of probability and statistics in concrete problems

The subject knowledge on the high school level course is requested. Explain the basic principles and methods of higher mathematics on the course BMA1 level.

Not applicable.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

upto 30 points from computer exercises and the other activities
upto 70 points from examination paper

1. Calculus of the more variable functions.
2. Ordinary differential equations, basic terms, exact methods for the equation of the 1. order
3. Linear difeferential equations.
4. Complex functions - basic terms and differential calculus.
5. Basic of integral calculus Cauchy theorem.
6. Laurent series, residue theorem.
7. Fourier series and Fourier transform.
8. Laplace transform, and its usage.
9. Z transform and application of its to difference equations .
10. Basic of numerical mathematics and methods,.
11. Basic of probability.
12. Random variable.
13. Law of large numbers and basic of mathematical statistics.

Not applicable.

The students are acquainted with some fundamental methods for solving the ordinary differential equations and as application of the knowledge of complex analysis with Laplace, Fourier and Z transforms in the first part. Other parts are devoted to introduction into numerical methods and probability.

Not applicable.

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FAJMON, B., RŮŽIČKOVÁ, I. MATEMATIKA_3_S.PDF. Matematika 3. Brno: UMAT FEKT VUT, 2003. s. 1-266. (CS)
Hlavičková, I., Hliněná, D.: Matematika 3 - sbírka úloh z pravděpodobnosti (CS)
Chvalina, J., Svoboda, Z., Novák,M.: Matematika 2 (CS)
Kolářová, E.:MATEMATIKA 2 Sbírka úloh (CS)
Melkes, F., Řezáč, M.: Matematika 2(BMA2 et KMA2) (CS)

Not applicable.