SubjectsSubjects(version: 877)
Course, academic year 2020/2021
Secondary School Mathemetics Repetition - B413007
Title: Repetitorium středoškolské matematiky
Guaranteed by: Department of Mathematics (413)
Actual: from 2019
Semester: winter
Points: winter s.:2
E-Credits: winter s.:2
Examination process: winter s.:
Hours per week, examination: winter s.:0/2 MC [hours/week]
Capacity: unknown / 20 (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type: Bachelor's
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Pavlíková Pavla RNDr. Ph.D.
Annotation -
Last update: Kubová Petra Ing. (15.01.2018)
The aim of the course is to revise basic knowledge of mathematics, especially in operations with fractions, powers and roots, solving simple equations and inequalities, working with functions and basics of geometry.
Aim of the course -
Last update: Kubová Petra Ing. (15.01.2018)

Students will be able to simplify algebraic expressions, solve simple algebraic equations (linear, quadratic, logarithmic, exponential, trigonometric etc.), they will understand the problems of elementary functions and the foundations of geometry.

Literature -
Last update: Kubová Petra Ing. (15.01.2018)

R: Turzík D., Dubcová M., Pavlíková P.: Základy matematiky pro bakaláře. Skripta VŠCHT Praha. ISBN 978-80-7080-787-3

A: Klíč A., Hapalová V.: Úvod do studia matematiky na VŠCHT Praha. Skripta VŠCHT Praha. ISBN 80-7080-277-4

Learning resources -
Last update: Kubová Petra Ing. (15.01.2018)

Teaching methods -
Last update: Kubová Petra Ing. (15.01.2018)

Exercise classes.

Repetition of subject matter through controlled housework.

Syllabus -
Last update: Kubová Petra Ing. (15.01.2018)

1. Basic concepts of set theory. Number sets.

2. Algebra of real numbers. Powers, square roots, absolute value of real numbers.

3. Elementary functions and their properties.

4. Algebraic equations of one variable. Linear and quadratic equations.

5. Exponential and logarithmic equations.

6. Trigonometric functions and trigonometric equations.

7. Linear and quadratic inequalities.

8. Absolute value inequalities. Graphic solution of inequalities.

9. Arithmetic and geometric sequences.

10. Analytic geometry in plane. Descriptions of line.

11. General equation of an ellipse, hyperbola and parabola.

12. Basic concepts of stereometry, lines and planes.

13. Various examples of algebraic expressions.

14. Practical problems of school mathematics.

Registration requirements -
Last update: Borská Lucie RNDr. Ph.D. (06.05.2019)

No requirements.

Course completion requirements - Czech
Last update: Kubová Petra Ing. (08.03.2018)

Předmět je zakončen zápočtovým testem.

Teaching methods
Activity Credits Hours
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
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