SubjectsSubjects(version: 955)
Course, academic year 2019/2020
Secondary School Mathemetics Repetition - B413007
Title: Repetitorium středoškolské matematiky
Guaranteed by: Department of Mathematics (413)
Faculty: Faculty of Chemical Engineering
Actual: from 2019 to 2020
Semester: winter
Points: winter s.:2
E-Credits: winter s.:2
Examination process: winter s.:
Hours per week, examination: winter s.:0/2, MC [HT]
Capacity: unknown / 20 (unknown)
Min. number of students: unlimited
State of the course: taught
Language: Czech
Teaching methods: full-time
Teaching methods: full-time
Note: course can be enrolled in outside the study plan
enabled for web enrollment
Guarantor: Pavlíková Pavla RNDr. Ph.D.
Interchangeability : N413001
Examination dates   Schedule   
Annotation -
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.
Last update: Kubová Petra (15.01.2018)
Aim of the course -

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.

Last update: Kubová Petra (15.01.2018)
Literature -

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

Last update: Kubová Petra (15.01.2018)
Learning resources -

Last update: Kubová Petra (15.01.2018)
Teaching methods -

Exercise classes.

Repetition of subject matter through controlled housework.

Last update: Kubová Petra (15.01.2018)
Syllabus -

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.

Last update: Kubová Petra (15.01.2018)
Registration requirements -

No requirements.

Last update: Borská Lucie (06.05.2019)
Course completion requirements - Czech

Předmět je zakončen zápočtovým testem.

Last update: Kubová Petra (08.03.2018)
Teaching methods
Activity Credits Hours
Příprava na zkoušku a její absolvování 1 28
Účast na seminářích 1 28
2 / 2 56 / 56
Coursework assessment
Form Significance
Regular attendance 10
Continuous assessment of study performance and course -credit tests 90