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Basics of Mathematics

Type of study Bachelor
Language of instruction Czech
Code 230-0400/03
Abbreviation ZM
Course title Basics of Mathematics
Credits 2
Coordinating department Department of Mathematics
Course coordinator Mgr. Dagmar Dlouhá, Ph.D.

Subject syllabus

1st Functions: properties, domain, linear, quadratic, cubic, irrational and rational functions.
2nd Exponential and logarithmic functions. Evaluation of logarithms. Exponential equations and inequalities.
3rd Goniometric functions, their graphs and values. Trigonometric equations and inequalities.
4th Mathematical logic: constants, variables, statements and operations.
5th Set theory: types of sets, operations with sets, sets of numbers, intervals.
6th Algebraic expressions: polynomials, fractions, powers, roots.
7th Equations: linear, linear with parameters, quadratic, irrational, systems of two linear equations.
8th Inequalities: linear, quadratic, systems.
9th Absolutní value: geometric interpretation, equations and inequalities.
10th Basics of analytical geometry: vectors, lines, circle, determination of the center and radius.
11th Elipsis, hyperbole, parabole: determination of parameters.
12th Sequences and series.
13th Tests and credits.

E-learning

Literature

Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.
Harshbarger, R.J., Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 .
http://www.studopory.vsb.cz/studijnimaterialy/Zaklady_matematiky/zm.pdf

Advised literature

http://mdg.vsb.cz/portal/
Bartsch, Hans Jochen: Handbook of Mathematical Formulas.
Moore,C: Math quations and inequalities, Science & Nature, 2014.
Burdette, A.C.:An Introduction to Analytic Geometry and Calculus,Academic Press,1973.