714-0866 – Mathematics 1 (Math 1)
| Gurantor department | Department of Mathematics and Descriptive Geometry |
| Subject guarantor | RNDr. Jan Kotůlek, Ph.D. |
| Study level | undergraduate or graduate |
Subject aims expressed by acquired skills and competences
Goals
After completing this course, students should have the following skills:
* Use rules of differentiation to differentiate functions.
* Sketch the graph of a function using asymptotes, critical points.
* Apply differentiation to solve problems.
* Solve a system of linear algebraic equations.
* Work with basic objects in three dimensional Euclidean space.
Teaching methods
Lectures
Individual consultations
Tutorials
Summary
Course description
I. Calculus.
Function of one variable (basic notions, inverse function, elementary functions);
Limits and Continuity of a function;
Differentiation of a function (differentiation rules, application, L'Hospital's rule).
II. Linear algebra.
Vector spaces;
Matrices and determinants;
Systems of linear algebraic equations (Gaussian elimination, Frobeniu theorem).
III. Introduction to analytic geometry (lines and planes in E3, intersection, distance, angle).
Compulsory literature:
Recommended literature:
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.