Course detail

Seminar of Mathematics

FIT-ISMAcad. year: 2015/2016

High school mathematics.

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

RNDr. Petr Fuchs, Ph.D.

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

There are no prerequisites

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

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 curriculum

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

Work placements

Not applicable.

Aims

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.

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

Not applicable.

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

 

Fundamentals seminar

26 hours, optionally

Teacher / Lecturer

RNDr. Petr Fuchs, Ph.D.

Syllabus

  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