Course detail

Practicum in Fundamentals of Mathematics

FP-pzmPAcad. year: 2023/2024

The content of this practical is basic mathematical structures. The course gives students the opportunity to supplement their knowledge of mathematics to the level required in the subjects Mathematics I and Mathematics II.

Language of instruction

Czech

Number of ECTS credits

3

Mode of study

Not applicable.

Guarantor

Natálie Rontóová, Ph.D.

Department

Institute of Informatics (ÚI)

Entry knowledge

Curriculum of high school mathematics

Rules for evaluation and completion of the course

Requirements for credit: Passing control tests and achieving at least 55% points or passing a comprehensive written work and achieving at least 55% points.

Participation is controlled.

Completion of the course for students with individual study: Passing the comprehensive control test and achieving at least 55% points

Aims

The aim of the course is to enable students to supplement their knowledge of secondary school mathematics to the level required for studying the compulsory subjects Mathematics I and Mathematics II. The graduate of the subject will be able to use the basic tools necessary for quantitative analysis in professional subjects. Furthermore, the student will reliably handle routine operations and calculations, understand basic mathematical concepts and be competent to apply the necessary procedures to solve practical problems in real situations.

Study aids

BUŠEK, Ivan, 2022. Řešené maturitní úlohy z matematiky. 2. vydání. Praha: Prometheus. ISBN 978-80-7196-140-6

HOY, Michael, 2011. Mathematics for economics. 3. vydání. Cambridge, Mass.: MIT Press. ISBN 978-02-6251-622-8

POLÁK, Josef, 2016. Přehled středoškolské matematiky. 10. vydání. Praha: Prometheus. ISBN 978-80-7196-458-2

Prerequisites and corequisites

Not applicable.

Basic literature

BUŠEK, Ivan, 2022. Řešené maturitní úlohy z matematiky. 2. vydání. Praha: Prometheus. ISBN 978-80-7196-140-6 (CS)

Recommended reading

HOY, Michael, 2011. Mathematics for economics. 3. vydání. Cambridge, Mass.: MIT Press. ISBN 978-02-6251-622-8 (CS)
POLÁK, Josef, 2016. Přehled středoškolské matematiky. 10. vydání. Praha: Prometheus. ISBN 978-80-7196-458-2 (CS)

eLearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BAK-UAD Bachelor's, 1. year of study, winter semester, elective
  • Programme BAK-EP Bachelor's, 1. year of study, winter semester, elective
  • Programme BAK-MIn Bachelor's, 1. year of study, winter semester, elective
  • Programme BAK-PM Bachelor's, 1. year of study, winter semester, elective

Type of course unit

 

Exercise

26 hours, compulsory

Teacher / Lecturer

Natálie Rontóová, Ph.D.

Syllabus

 

1. Number fields, rearrangement of algebraic expressions

2. Quadratic equations

3. Systems of equations

4. Equations and inequalities (with absolute value)

5. Equations and inequalities (with square root, with parameters)

6. Functions, basic terms, overview of elementary functions

7. Properties of functions

8. Power function

9. Exponential function

10. Logarithmic functions

11. Trigonometric functions

12. Graphs of functions

13. Repetition

eLearning

eLearning: currently opened course