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Basics of Mathematics

Type of study Bachelor
Language of instruction English
Code 310-2110/05
Abbreviation ZM
Course title Basics of Mathematics
Credits 2
Coordinating department Department of Mathematics and Descriptive Geometry
Course coordinator RNDr. Jan Kotůlek, Ph.D.

Osnova předmětu

1. Numeracy. Computation wit rational and irrational numbers, intervals, operations on intervals (intersection, union, complement), absolute value of real numbers.
2-3. Polynomials and rational expressions, computation with powers and roots. Simplification of the expressions.
4-5. Linear and quadratic equations and inequalities.
6. Exponentiation with integer, whole and rational powers. Power and exponential functions.
7. Introduction to logarithms.
8. Trigonometry, sine, cosine and tangent functions as ratios between edges of a right triangle, definition by means of the unit circle. Oriented angles, their measures in degrees and radians.
9. Algebraic expressions containing elementary functions.
10. Sequences, their limits and sums. Arithmetic and geometric sequences.
11-12. Analytic geometry in a geometric plane: coordinates of a point and vector, line (equation and graph), metric properties in the plane.
13. The conic sections, their properties, and equations.

Povinná literatura

[1] BIRD, J.: Engineering Mathematics, 4th ed. Newnes 2003.
[2] https://www.khanacademy.org/math/
Harshbarger, R.J. - Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1