Course detail

Mathematical Seminar

FEKT-BPC-MASAcad. year: 2024/2025

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

Language of instruction

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

Mgr. Josef Rebenda, Ph.D.

Department

Department of Mathematics (UMAT)

Entry knowledge

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

Rules for evaluation and completion of the course

For the course-unit credit it is necessary to meet conditions announced by the lecturer responsible for the course at the beginning of each semester. The conditions are specified by a Regulation issued by the lecturer responsible for the course and updated every academic year.
The content and forms of  instruction in the evaluated course are specified by a Regulation issued by the lecturer responsible for the course and updated for every academic year.

Aims

The goal of the course is to supplement secondary school knowledge of mathematics necessary for further studies.
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;
- perform calculations with complex numbers;
- work with arithmetic and geometric sequences and infinite series.

Study aids

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-AMT Bachelor's 1 year of study, winter semester, compulsory-optional

  • 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-BTB Bachelor's 0 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 SPC-STC Bachelor's 1 year of study, winter semester, elective

Type of course unit

 

Fundamentals seminar

14 hod., compulsory

Teacher / Lecturer

RNDr. Štěpán Křehlík, Ph.D.
Ing. Aleš Krček
Mgr. Eva Sedláková

Syllabus

1. Foundations of mathematics.
2. Vectors, lines, planes (analytical geometry).
3. Manipulation with algebraic expressions.
4. Linear equations, inequalities, systems.
5. Partial fraction decomposition.
6. Elementary functions 1.
7. Elementary functions 2.
8. Limits, asymptotes.
9. Derivatives, limits, tangent lines.
10. Complex numbers 1.
11. Complex numbers 2.
12. Arithmetic and geometric sequence, geometric series.
13. Recapitulation.

Computer-assisted exercise

12 hod., compulsory

Teacher / Lecturer

Mgr. Eva Sedláková
Ing. Aleš Krček
RNDr. Štěpán Křehlík, Ph.D.

Syllabus

1. Foundations of mathematics.
2. Vectors, lines, planes (analytical geometry).
3. Manipulation with algebraic expressions.
4. Linear equations, inequalities, systems.
5. Partial fraction decomposition.
6. Elementary functions 1.
7. Elementary functions 2.
8. Limits, asymptotes.
9. Derivatives, limits, tangent lines.
10. Complex numbers 1.
11. Complex numbers 2.
12. Arithmetic and geometric sequence, geometric series.
13. Recapitulation.

E-learning texts

Kolářová: Matematický seminář
Matematicky_seminar.pdf 0.69 MB

Elearning

eLearning: currently opened course