Course detail

Mathematics in Electrical Engineering 1

FEKT-BPC-MAEAcad. year: 2025/2026

Vectors spaces, linear combination, linear dependence. Matrices and systems of linear equations. Limit, continuity, derivative, behavior of function. Antiderivative, indefinite integral. Definite integral and its applications. Number series.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

doc. RNDr. Michal Novák, Ph.D.

Department

Department of Mathematics (UMAT)

Entry knowledge

Students should be able to work with expressions and elementary functions within the scope of standard secondary school requirements; in particular, they shoud be able to transform and simplify expressions, solve basic equations and inequalities, and find the domain and the range of a function. The knowledge of English at intermediate level is required.

Rules for evaluation and completion of the course

Aims

The goal of the course is to explain basic concepts and computational methods of linear algebra and differential and integral calculus. The students will further learn to translate mathematical texts in the above fields (from English to Czech and vice versa).

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KRUPKOVÁ, V. a P. FUCHS. Matematika 1, elektronická skripta VUT. Brno: Vutium, 2014. (CS)
LANGEROVÁ, P. a M. NOVÁK. Anglicko-český a česko-anglický slovník matematické terminologie. Brno: 2006. Elektronická skripta VUT. (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BPC-APE Bachelor's 1 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

doc. RNDr. Michal Novák, Ph.D.

Syllabus

1. Basic mathematical concepts.
2. Vectors, linear combination and dependence of vectors.
3. Matrices and determinants.
4. Systems of linear equations and their solutions.
5. Limit and continuity of function.
6. Derivatives.
7. Behaviour of function.
8. Antiderivative, indefinite integral.
9. Definite integral and its applications.
10. Number series, convergence tests.

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

doc. RNDr. Michal Novák, Ph.D.

E-learning texts

Krupková, Fuchs: Matematika 1
Matematika_1.pdf 3.35 MB
Kolářová: Matematika 1 - Sbírka úloh
Matematika_1_sbirka.pdf 0.45 MB