Skip to main content
Skip header

Basics of Mathematics

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code230-0400/01
Number of ECTS Credits Allocated2 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *First Cycle
Year of Study *First Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites There are no prerequisites or co-requisites for this course unit
Name of Lecturer(s)Personal IDName
DLO44Mgr. Dagmar Dlouhá, Ph.D.
JAR71Mgr. Marcela Jarošová, Ph.D.
POS220Ing. Lukáš Pospíšil, Ph.D.
DUB02RNDr. Viktor Dubovský, Ph.D.
VOL18RNDr. Jana Volná, Ph.D.
URB0186RNDr. Zbyněk Urban, Ph.D.
The set of real numbers, operations with algebraic expressions, equations and inequalities, functions, exponential and logarithmic equations, trigonometric functions and equations, analytic geometry, arithmetic and geometric sequences.
Learning Outcomes of the Course Unit
Mathematics is essential part of education on technical universities. It should
be considered rather the method in the study of technical courses than a goal.
Thus the goal of mathematics is train logical reasoning than mere list of
mathematical notions, algorithms and methods. Students should learn how to
analyze problems, distinguish between important and unimportant, suggest a
method of solution, verify each step of a method, generalize achieved results,
analyze correctness of achieved results with respect to given conditions, apply
these methods while solving technical problems, understand that mathematical
methods and theoretical advancements outreach the field mathematics.
Course Contents
Week. Tutorial
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.
Recommended or Required Reading
Required Reading:
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.
Boháč, Z., Burda, P., Doležalová, J.: Matematika pro přípravný kurz a přijímací zkoušku na VŠB - TU. Skriptum VŠB - TU, Ostrava 2003. ISBN 80-7078-278-1.
Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7.
Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.
Recommended Reading:
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.
Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8.
Kubát J., Hrubý D., Pilgr J.: Sbírka úloh z matematiky pro střední školy.Maturitní minimum. Praha: Prométheus, 1996.
Odvárko, O. Matematika pro gymnázia – funkce. Praha:Prométheus,1994.ISBN 80-85849-09-7.
Harshbarger, R.J., Teynolds, J.J.: Calculus with Applications. D.C. Heath and Company, Lexington 1990, ISBN 0-669-21145-1.
Planned learning activities and teaching methods
Individual consultations, Tutorials, Other activities
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 (100)51
        Written testWritten test100 51