Course details

Seminar of Mathematics

ISM Acad. year 2021/2022 Winter semester 2 credits

Current academic year

High school mathematics.

Guarantor

Course coordinator

Language of instruction

Czech, English

Completion

Credit

Time span

  • 26 hrs exercises

Department

Instructor

Course Web Pages

Subject specific learning outcomes and competences

Improving or repeating knowledge of high school mathematics.
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.

Prerequisites

Prerequisite knowledge and skills

The basic numerical skills

Study literature

  • Kolářová, E. Matematický seminář. Brno, UMAT, FEKT, VUT v Brně.
  • 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
  • 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.
  • Polák, J.: Přehled stredoškolské matematiky [Compendium of high school mathematics]. Praha, Prometheus, 2002.
  • Krupková, V., Fusek,M: Matematický seminář pro FIT UMAT, FEKT, VUT v Brně 2018
  • 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.: Středoškolská matematika v úlohách II [High school mathematics in exercises II]. Praha, Prometheus, 1999.

Syllabus of numerical exercises

  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

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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