Course detail

Seminar of Mathematics

FIT-ISMAcad. year: 2018/2019

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.
The ability of formal mathematical expression.

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.
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 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

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

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Basic literature

Not applicable.

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) [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)
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.

Classification of course in study plans

  • 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 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