Course detail

Mathematics in Electrical Engineering 1

FEKT-BPC-MAEAcad. year: 2024/2025

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

Maximum 20 points for control tests and activities during the semester (at least 8 points for the course-unit credit); maximum 80 points for the written exam.

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 literature

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

RNDr. Petr Fuchs, Ph.D.

Syllabus

1. Basic mathematical notions, functions, sequences.
2. Vectors - linear combination, linear independence, basis and dimension of vector spaces.
3. Matrices and determinants.
4. Linear systems.
5. Differential calculus of functions of one real variable, limit, continuity, derivative.
6. Higher order derivatives.
7. L'Hospital rule, course of the function.
8. Integral calculus of functions of one real variable, antiderivative, idefinite integral. 
9. Integration by parts, substitution in integration, integration methods.
10. Definitie integral and its applications.
11. Improper integral.
12. Number series, convergence tests.
13. Power series. Taylor series. 

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

RNDr. Petr Fuchs, Ph.D.

Syllabus

1. Graphs of elementary functions, inverse function, conic sections.
2. Matrices and determinants.
3. Solution of linear systems.
4. Differential calculus of functions of one real variable.
5. Course of the function.
6. Integral calculus of functions of one real variable (indefinite and definite integral).
7. Number and power series.