Czech

Not applicable.

Students will acquire basic knowledge of mathematical disciplines listed in the course annotation and will be made familiar with their logical structure. They will learn how to solve mathematical problems encountered when dealing with engineering tasks using the knowledge and skills acquired. Moreover, they improve their skills in mathematical software, which can be used to solving problems.

Differential and integral calculus of functions in one variable.

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:
There are two written tests (each at most 12 points) within the seminars and a seminar with the computer support. The student can obtain at most 24 points altogether within the seminars. Condition for the course-unit credit: to obtain at least 6 points from each written test. Students, who do not fulfill conditions for the course-unit credit, can repeat the written test during the first two weeks of examination time.

FORM OF EXAMINATIONS:
The exam has an obligatory written and oral part. The student can obtain 75 points from the written part and 25 points from the oral part (the examiner can take into account the results of the seminar).

EXAMINATION:
- The written part ranges from 90 to 120 minutes according to the difficulty of the test.
- The written part will contain at least one question (example) from each of the following topics:
1. Differential calculus of functions of several variables.
2. Multiple integrals
3. Ordinary differential equations
- The written part may also include theoretical questions from the above-mentioned themes.
- The oral part is usually realized as a discussion of the test. For each example, the student must be able to justify his calculation procedure - otherwise, the test will not be recognized and will be evaluated for zero points. An additional theoretical question can be asked, or a supplementary simple example, which the student calculates immediately.

FINAL CLASSIFICATION:
0-49 points: F
50-59 points: E
60-69 points: D
70-79 points: C
80-89 points: B
90-100 points: A

Not applicable.

Not applicable.

The course aim is to acquaint the students with the theoretical basics of the above mentioned mathematical disciplines necessary for further study of engineering courses and for solving engineering problems encountered. Another goal of the course 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. Missed seminars may be made up of the agreement with the teacher supervising the seminar.

Not applicable.

Not applicable.

Hartman, P.: Ordinary Differential Equations. New York: John Wiley & Sons, 1964. (EN)
Kurzweil, J.: Obyčejné diferenciální rovnice, Praha, SNTL, 1978. (CS)
Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL Praha, 1988) (CS)
Sneall D.B. - Hosack J.M.: Calculus, An Integrated Approach (EN)
Thomas G.B. - Finney R.L.: Calculus and Analytic Geometry, 7th edition (EN)

Čermák, J., Nechvátal, L.: Matematika III, Brno, 2016. (CS)
Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy (CS)
Karásek J.: Matematika II (skriptum VUT) (CS)
Thomas G.B., Finney R.L.: Calculus and Analytic Geometry (7th edition) (EN)