Course details

Seminar of Mathematics

ISM Acad. year 2018/2019 Winter semester 2 credits

Current academic year

High school mathematics.


Deputy Guarantor

Fusek Michal, Ing., Ph.D. (DMAT FEEC BUT)

Language of instruction




Time span

26 hrs exercises


Department of Mathematics (DMAT FEEC BUT)


Subject specific learning outcomes and competences

Improving or repeating knowledge of high school mathematics.

Generic learning outcomes and competences

The ability of formal mathematical expression.

Learning objectives

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

Why is the course taught

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

Prerequisite kwnowledge and skills

The basic numerical skills

Study literature

  • Kolářová, E. Matematický seminář [Seminar of Mathematics]. Brno, UMAT, FEKT, VUT v Brně. (In Czech)
  • Krupková, V., Fusek,M: Matematický seminář pro FIT, UMAT, FEKT, VUT v Brně 2018. (In Czech)

Fundamental literature

  • 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.
  • Polák, J.: Přehled stredoškolské matematiky [Compendium of high school mathematics]. Praha, Prometheus, 2002.
  • Polák, J.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.

Syllabus of numerical exercises

  1. Adjustment of algebraic expressions 1
  2. Adjustment of algebraic expressions 2 
  3. Equations and inequations
  4. Equations and inequations with absolute value
  5. Functions
  6. Polynomials
  7. Goniometrical functions and equations
  8. Exponential functions and logarithm
  9. Analytic geometry 1 - linear 
  10. Analytic geometry 2 - conic sections
  11. Complex numbers 1
  12. Complex numbers 2

Progress assessment

Two control tests  dealing with so far discussed topics.

Controlled instruction

The presence is monitored. At most three absences can be excused.

Exam prerequisites

For the course-unit credit, it is necessary:

  • To attend exercises (no absence without an excuse is allowed and at most three absences with accepted excuse are allowed).
  • To obtain at least a 50 % score from control tests during the semester.

Course inclusion in study plans

  • Programme BIT, 1st year of study, Elective
  • Programme IT-BC-3, field BIT, 1st year of study, Elective
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