Czech

7

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.

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.

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

Not applicable.

Not applicable.

Not applicable.

Not applicable.

4 hours, compulsory

Krupková, Fuchs: Matematika 1 (cs)

• Matematika_1 [.pdf] 3.35 MB

Kolářová: Matematika 1- Sbírka úloh (cs)

• Matematika_1_sbirka [.pdf] 462.58 kB