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Data pro 2018/2019

Mathematics I

Kredity 10
Rozsah 3 / 4 / 0
Examinace Z+Zk
Jazyk výuky angličtina
Úroveň bakalářský předmět
Garant RNDr. Pavel Pokorný, Ph.D.

Anotace

None

Sylabus

1. Elements of Mathematical Logic. Introduction to calculus
2. Continuity and limits of the functions of one and two variables.
3. Derivatives, Mean value theorem, L’ Hospital’s rule. Partial derivatives.
4. Monotone functions, extreme values of a function, asymptotes of the graph.
5. Newton’s methods. Taylor’s formula with remainder. Differential.
6. Curves in plane, tangent vector. Polar coordinates.
7. Antiderivative. Definite integral. Geometric and physical applications.
8. Techniques of integration.
9. Improper integrals. Numerical integration. The mean value theorem for integrals.
10. Ordinary differential equations of the first order. Separable equations. Euler’s method.
11. Linear differential equations of the first order and their applications.
12. The space R^n , geometry in R^3, vectors, dot and cross products.
13. Matrices and Determinants.
14. The systems of linear algebraic equations. Gauss-Jordan method. Cramer’s rule.

Literatura

None

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