Course detail

Mathematical Seminar

FEKT-BPC-MASAcad. year: 2022/2023

Foundations of mathematics, equations, inequalities, vectors, elementary functions, limits, derivatives, integrals, complex numbers, sequences, series.

Language of instruction

Czech

Number of ECTS credits

Mode of study

Not applicable.

Guarantor

Mgr. Josef Rebenda, Ph.D.

Department

Department of Mathematics (UMAT)

Learning outcomes of the course unit

After completing the course, students should be able to:
- transform and simplify expressions;
- solve basic equations and inequalities;
- find the domain and the range of a function;
- differentiate using basic formulas;
- work with complex numbers.

Prerequisites

Students should have at least superficial knowledge of work with expressions and elementary functions within the scope of standard secondary school requirements.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching methods are specified in Article 7 of Study and Examination Regulations.

Assesment methods and criteria linked to learning outcomes

For the course-unit credit it is necessary to meet the following conditions: complete all quizzes to 100%, submit preparation for the seminar.  Details are described in Elearning module in the course "Matematický seminář (BPC-MAS 22/23Z)".

Course curriculum

1. Basic mathematical concepts.
2. Vector algebra and analytical geometry.
3. Systems of equations.
4. Conversions of algebraic expressions and equations.
5. Solving inequalities.
6. Elementary functions.
7. Limits.
8. Derivatives.
9. Integrals.
10. Complex numbers 1.
11. Complex numbers 2.
12. Sequences and series.
13. Recapitulation.

Work placements

Not applicable.

Aims

The goal of the course is to supplement secondary school knowledge of mathematics necessary for further studies.

Specification of controlled education, way of implementation and compensation for absences

Participation in learning activities is compulsory. Details are given in Elearning module in the course "Matematický seminář (BPC-MAS 22/23Z)".

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Basic literature

Kolářová E.: Matematický seminář, VUT, 2014. (CS)

Recommended reading

Not applicable.

Elearning

eLearning: currently opened course

Classification of course in study plans

  • Programme BPC-AUD Bachelor's

    specialization AUDB-TECH , 1 year of study, winter semester, elective
    specialization AUDB-ZVUK , 1 year of study, winter semester, elective

  • Programme BPC-ECT Bachelor's 1 year of study, winter semester, elective
  • Programme BPC-IBE Bachelor's 1 year of study, winter semester, elective
  • Programme BPC-MET Bachelor's 1 year of study, winter semester, compulsory-optional
  • Programme BPC-SEE Bachelor's 1 year of study, winter semester, compulsory-optional
  • Programme BPC-TLI Bachelor's 1 year of study, winter semester, elective
  • Programme BPC-AMT Bachelor's 1 year of study, winter semester, compulsory-optional

Type of course unit

 

Fundamentals seminar

14 hod., compulsory

Teacher / Lecturer

Ing. Jana Vyroubalová
Ing. Tatiana Machovičová
Mgr. Lukáš Másilko

Computer-assisted exercise

12 hod., compulsory

Teacher / Lecturer

Ing. Tatiana Machovičová
Mgr. Lukáš Másilko
Ing. Jana Vyroubalová

E-learning texts

Kolářová: Matematický seminář
Matematicky_seminar.pdf 0.69 MB

Elearning

eLearning: currently opened course