Czech

Not applicable.

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.

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.

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).

Not applicable.

Not applicable.

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.