SubjectsSubjects(version: 901)
Course, academic year 2021/2022
Secondary School Mathemetics Repetition - N413001
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 / unknown (unknown)
Min. number of students: unlimited
Language: Czech
Teaching methods: full-time
For type:  
Note: course can be enrolled in outside the study plan
Guarantor: Pavlíková Pavla RNDr. Ph.D.
Is interchangeable with: B413007
Examination dates   Schedule   
Annotation -
Last update: Pavlíková Pavla RNDr. Ph.D. (20.08.2013)
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: TAJ413 (05.09.2013)

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: Pavlíková Pavla RNDr. Ph.D. (21.08.2013)

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: Pavlíková Pavla RNDr. Ph.D. (20.08.2013)

Teaching methods -
Last update: Pavlíková Pavla RNDr. Ph.D. (20.08.2013)

Exercise classes.

Repetition of subject matter through controlled housework.

Syllabus -
Last update: Pavlíková Pavla RNDr. Ph.D. (20.08.2013)

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: Pavlíková Pavla RNDr. Ph.D. (20.08.2013)


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