Czech

Not applicable.

Students will be made familiar with algebraic operations, linear algebra, vector and euclidean spaces, and analytic geometry. They will be able to work with matrix operations, solve systems of linear equations and apply the methods of linear algebra to analytic geometry and engineering tasks. When completing the course, the students will be prepared for further study of mathematical and technical disciplines.

Students are expected to have basic knowledge of secondary school mathematics.

Not applicable.

The course is taught through lectures explaining the basic principles and theory of the discipline. Exercises are focused on practical topics presented in lectures.

Course-unit credit requirements: Active attendance at the seminars.
Form of examinations: The examination has a written and an oral part. In a 120-minute written test, students solve the following 5 problems:
Problem 1: Groupoids, vector spaces, euclidean spaces, eigenvalues and eigenvectors.
Problem 2: Matrices.
Problem 3: Systems of linear equations.
Problem 4: Analytic geometry of linear concepts.
Problem 5: Analytic geometry of nonlinear concepts.
During the oral part of the examination, the examiner goes through the test with the student. The examiner should inform the students at the last lecture about the basic rules of the examination and the evaluation of its results.
Rules for classification: The student can achieve 4 points for each problem. Therefore he/she may achieve 20 points in total.
Final classification:
A (excellent): 19 to 20 points
B (very good): 17 to 18 points
C (good): 15 to 16 points
D (satisfactory): 13 to 14 points
E (sufficient): 10 to 12 points
F (failed): 0 to 9 points

Not applicable.

Not applicable.

The course aims to acquaint the students with the basics of algebraic operations, linear algebra, vector and euclidean staces, and analytic geometry. This will enable them to attend further mathematical and engineering courses and deal with engineering problems. Another goal of the copurse is to develop the students´ logical thinking.

Attendance at lectures is recommended, attendance at seminars is required. The lessons are planned on the basis of a weekly schedule. The way of compensation for an absence is in the competence of the teacher.

Not applicable.

Not applicable.

AXLER, S. J. (1997). Linear algebra done right. New York, Springer. (EN)
Jan Slovák, Martin Panák, Michal Bulant a kolektiv Matematika drsně a svižně, 1. vyd. — Brno : Masarykova univerzita, 2013 — 773 s. , Jan Slovák, Martin Panák, Michal Bulant a kolektiv ISBN 978-80-210-6307-5 (CS)
KARÁSEK, J., SKULA, L.: Lineární Algebra. Brno: AKADEMICKÉ NAKLADA-. TELSTVÍ CERM, 2005. 179 p. ISBN 80-214-3100-8. (CS)
Lang, Serge (March 9, 2004), Linear Algebra, Undergraduate Texts in Mathematics, Springer, ISBN 978-0-387-96412-6 (EN)

Horák, P., Janyška, J.: Analytická geometrie, Masarykova univerzita 1997 (CS)
Janyška, J., Sekaninová, A.: Analytická teorie kuželoseček a kvadrik, Masarykova univerzita 1996 (CS)