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Basics of mathematics

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

Course Unit Code230-0320/01
Number of ECTS Credits Allocated1 ECTS credits
Type of Course Unit *Choice-compulsory type B
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
VOL18RNDr. Jana Volná, Ph.D.
Summary
In this course, students will revise and consolidate their knowledge of the secondary school mathematics: sets, algebraic expressions. functions, their properties and graphs, equations and inequalities, analytic geometry.
Learning Outcomes of the Course Unit
The subject aim is the repetition of the secondary school mathematics, balancing the knowledge of mathematics among students from different types of secondary schools.
Course Contents
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.
Recommended or Required Reading
Required Reading:
[1] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.
[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.
[2] Polák, J.: Přehled středoškolské matematiky. SPN, Praha 1991. ISBN 80-7196-267-8
[3] http://www.studopory.vsb.cz/studijnimaterialy/Zaklady_matematiky/zm.pdf
[4] Lang, S.: Basic Mathematics, Springer-Verlag New York Inc. 1998, ISBN: 9780387967875.
Recommended Reading:
[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
[1]Polák, J.: Středoškolská matematika v úlohách I. Prometheus, Praha 1996. ISBN 80-7196-021-7
[2] Janeček, F.: Sbírka úloh z matematiky pro střední školy. Výrazy, rovnice, nerovnice a jejich soustavy. Prometheus, Praha 2011.
Planned learning activities and teaching methods
Tutorials
Assesment methods and criteria
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Minimum Number of Points for Task Passing
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