Course detail

Mathematics in Electrical Engineering 1

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.

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 30 points for tests during the semester (at least 10 points for the course-unit credit); maximum 70 points for a written exam.
Lectures are not compulsory, practice classes are compulsory.

Students are allowed to use at most 3 sheets of paper (A4 format, no restrictions regarding content). Students are not allowed to use calculators or any other electronic devices.

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).
After completing the course, students should be able to:
- decide whether vectors are linearly independent and whether they form a basis of a vector space;
- add and multiply matrices, and compute the determinant and the inverse of a square matrix;
- solve a system of linear equations;
- differentiate and find the tangent to the graph of a function;
- sketch the graph of a function including extrema, points of inflection and asymptotes;
- integrate using basic formulas including integration by parts;
- evaluate a definite integral using the Fundamental Theorem of Calculus;
- compute the area of a region using the definite integral;
- discuss the convergence of a number series;
- translate a mathematical text 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)

Not applicable.

eLearning

Classification of course in study plans

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

• Programme AJEI-H Bachelor's

branch H-AEI , 1. year of study, winter semester, compulsory

Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Computer-assisted exercise

26 hours, compulsory

Teacher / Lecturer

eLearning