Course detail

Mathematics 1

FEKT-BKC-MA1Acad. year: 2023/2024

Vectors spaces, linear combination, linear dependence, basis and dimension of vector space. Matrices and systems of linear equations. Limit, continuity, derivative, l´Hospital's rule, Taylor polynomial, behavior of function. Antiderivative, indefinite integral. Definite integral and its applications. Improper integral. Number series, power series, Taylor series.

Language of instruction


Number of ECTS credits


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.

Rules for evaluation and completion of the course

Maximum 20 points for individual assignments during the semester (at least 5 points for the course-unit credit); maximum 80 points for a written exam.


TThe goal of the course is to explain basic concepts and computational methods of linear algebra and differential and integral calculus.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.


Classification of course in study plans

  • Programme BKC-EKT Bachelor's, 1. year of study, winter semester, compulsory
  • Programme BKC-MET Bachelor's, 1. year of study, winter semester, compulsory
  • Programme BKC-TLI Bachelor's, 1. year of study, winter semester, compulsory

Type of course unit



52 hours, optionally

Teacher / Lecturer

Computer-assisted exercise

22 hours, compulsory

Teacher / Lecturer


4 hours, compulsory

Teacher / Lecturer

E-learning texts

Krupková, Fuchs: Matematika 1 (cs)
Kolářová: Matematika 1- Sbírka úloh (cs)