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Basics of mathematics

Type of study Bachelor
Language of instruction Czech
Code 230-0320/02
Abbreviation ZM
Course title Basics of mathematics
Credits 1
Coordinating department Department of Mathematics
Course coordinator Mgr. Jakub Stryja, Ph.D.

Osnova předmětu

1. Sets, set operations, sets of number, intervals. Algebraic expressions.
2. Functions: the function definition and the properties of functions. Graphs.
3. Functions: linear, quadratic.
4. Functions: power, rational.
5. Functions: exponential, logarithmic.
6. Trigonometric functions.
7. Equations: linear, quadratic.
8. Equations: with absolute value, irrational.
9. Exponential and logarithmic equations.
10. Trigonometric equations.
11. Inequalities. Domains of composite functions.
12. Analytic geometry in the plane I: point, vector, line (parametric form of equation of a line, general equation of a line, slope-intercept form of the equation of a line)
13. Analytic geometry in the plane II: Conic: circle, ellipse, hyperbola and parabola.
14. Reserve.

E-learning

http://mdg.vsb.cz/portal
www.studopory.vsb.cz

Povinná literatura

[1] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.

Doporučená literatura

[1] Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 
[2] http://education-portal.com/academy/course/precalculus-course.html