Course detail

Seminar of Mathematics

FIT-ISMAcad. year: 2019/2020

High school mathematics.

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.

Recommended optional programme components

Not applicable.

Recommended or required reading

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.
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.

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.

Language of instruction

Czech, English

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.

Classification of course in study plans

  • Programme BIT Bachelor's, 1. year of study, winter semester, 2 credits, optional

  • Programme IT-BC-3 Bachelor's

    branch BIT , 1. year of study, winter semester, 2 credits, optional

Type of course unit

 

seminars in computer labs

26 hours, compulsory

Teacher / Lecturer

Syllabus


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

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