Czech

Not applicable.

A student will manage both theoretical and practical knowledge of mathematical statistics and its application in the evaluation of experimental data. He will be able of testing statistical hypotheses, application of regression models and application of more advanced multivariate statistical methods in biomedicine, living environment research, analytical chemistry and and other scientific branches.

Foundations of mathematical analysis and linear algebra. Foundations of the probability theory and the most common continuous and discrete distributions.

Not applicable.

The course uses teaching methods in form of Lecture - 2 teaching hours per week. The e-learning system (LMS Moodle) is available to teachers and students.

The classification is given by the examination consisting of the test and oral parts.

1. The concept of a vector space with the linear independency and the basis. Elementary ways of giving planes and a lines in the space.
2. Polynomials and other elementary functions with their basic properties.
3. Matrices and elementary operations on matrices, the concept of the rank and determinant.
4. Elementary concepts of the calculus of functions of one variable - the limit, derivative and a continous function. A geometrical, physical and chemical meaning of the derivative, L'Hospital rule, a computation of a derivative of elementary functions by means of formulas and rules.
5. Inverse matrices, systems of linear equations, the Gauss elimination method.
6. The concept of a differential and its applications, Taylor polynomial and its applications.
7. The complete investigation of a function.
8. The indefinite integral and the elementary methods of its computation - the per partes and the substitution method.
9. The integration of a rational function and some irational functions, the universal trigonometric substitution.. The definite integral.
10. The improper integrals, geometrical and physical applications of a definite integral.
11. Elementary concepts of the theory of ordinary differential equations (ODE's) and the computation of the simpliest kinds of first-order ODE's, i.e. separable and linear equations.
12. Higher-order linear differential equations with constant coefficients. The method of indefinite coefficients for the special right side.
13. Foundations of the analytical geometry of planary and spatial quadratic objects, the least square method.

Not applicable.

The aim of the course is to manage and apply the methods of mathematical staistings for processing of experimental data.

Participation on lectures is not compulsory. The course is finished by an examination consisting of the test and oral parts.

Not applicable.

Not applicable.

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Not applicable.