Course detail

Seminar of Mathematics

FIT-ISMAcad. year: 2022/2023

High school mathematics.

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

RNDr. Vlasta Krupková, CSc.

Department

Department of Mathematics (UMAT)

Learning outcomes of the course unit

Improving or repeating knowledge of high school mathematics.

Prerequisites

The basic numerical skills

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Two control tests dealing with so far discussed topics.

Course curriculum

Not applicable.

Work placements

Not applicable.

Aims

The goal is to improve or to repeat knowledge of high school mathematics needed for further study.

Specification of controlled education, way of implementation and compensation for absences

 

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Basic literature

Kolářová, E.: Matematický seminář, UMAT FEKT VUT v Brně, 2014. (CS)
Krupková, V., Fusek,M: Matematický seminář pro FIT, UMAT FEKT VUT v Brně, 2018. (CS)

Recommended reading

Bušek, I.: Řešené maturitní úlohy z matematiky [Solved math problems for graduation]. Praha, Prometheus, 1999.
Chrastinová, M., Kolářová E.: Matematika - Přijímací zkoušky na vysoké školy [Mathematics - Admission tests to college]. Brno, FEI VUT, 2000.
Kolářová, E. Matematický seminář (http://www.umat.feec.vutbr.cz/~kolara/seminar_pdf.pdf). Brno, UMAT, FEKT, VUT v Brně.
Krupková, V., Fusek,M: Matematický seminář pro FIT, UMAT, FEKT, VUT v Brně 2018
Polák, J.: Přehled stredoškolské matematiky [Compendium of high school mathematics]. Praha, Prometheus, 2002.
Polák, J.: Středoškolská matematika v úlohách II, Praha, Prometheus, 2018. (CS)
Polák, J.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.

Classification of course in study plans

  • Programme BIT Bachelor's 1 year of study, winter semester, elective
  • Programme BIT Bachelor's 1 year of study, winter semester, elective

  • Programme IT-BC-3 Bachelor's

    branch BIT , 1 year of study, winter semester, elective

Type of course unit

 

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

RNDr. Vlasta Krupková, CSc.

Syllabus

  1. Adjustment of algebraic expressions 
  2. Equationsand inequations
  3. Sets, real numbers
  4. Complex numbers
  5. Functions
  6. Goniometric functions and equations
  7. Exponential functions and logarithm
  8. Functions - basic properies
  9. Transform
  10. Conic sections
  11. Vectors
  12. Analytic geometry