Course details

Seminar of Mathematics

ISM Acad. year 2015/2016 Winter semester 2 credits

Current academic year

High school mathematics.


Fuchs Petr, RNDr., Ph.D. (DMAT FEEC BUT)

Language of instruction




Time span

26 hrs exercises


Department of Mathematics (DMAT FEEC BUT)


Fusek Michal, Ing., Ph.D. (DMAT FEEC BUT)
Šafařík Jan, Mgr. et Mgr. (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. This course is suitable for students who obtained less than 500 points in admission test in mathematics.

Study literature

  • Kolářová, E. Matematický seminář [Seminar of Mathematics]. Brno, UMAT, FEKT, VUT v Brně. (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. Basic concepts of the set theory
  2. Propositional and predicate logic
  3. Methods of proof and mathematical induction
  4. Vectors and analytic geometry
  5. Systems of linear equations and matrices
  6. Polynomials
  7. Exponential functions and logarithm
  8. Elementary functions and the concept of a limit
  9. Equations and inequations
  10. Sequences and series
  11. Complex numbers
  12. Combinatorics

Progress assessment

Two control tests (in 6th and 16th week) 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 any of two control tests during the semester.

Course inclusion in study plans

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