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Terminated in academic year 2010/2011

Basics of Mathematics

Type of study Bachelor
Language of instruction Czech
Code 714-0565/01
Abbreviation ZM
Course title Basics of Mathematics
Credits 1
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator doc. RNDr. Radim Havelek, Ph.D.

Subject syllabus

Week. Tutorial
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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 Complex numbers.
14th Tests and credits.

Literature

[1] Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1 

Advised literature

Basic textbooks on mathematics.
http://mdg.vsb.cz/M