Czech

Not applicable.

Students will be made familiar with differential and integral calculus of more variables. They will be able to apply this knowledge in various engineering tasks. After completing the course students will be prepared for further study of physics, mechanics and other technical disciplines.

Linear algebra, differential and integral calculus of functions of 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 semestral work from the computer support (at most 1 point).
The student can obtain at most 25 points alltogether within the seminars. Condition for the course-unit credit: to obtain at least 6 points from each written test. Students, who do not fulfil conditions for the course-unit credit, can repeat the written test during first two weeks of examination time.


FORM OF EXAMINATIONS:
The exam has an obligatory written part.
In a 120-minute written test, students have to solve the following four problems:
Problem 1: In basic properties of functions of several variables: domains, partial derivatives, gradient (at most 10 points)
Problem 2: In differential calculus of functions of several variables (at most 20 points)
Problem 3: In double and tripple integral (at most 20 points)
Problem 4: In line and surface integral (at most 20 points)
Above problems can also contain a theoretical question.

RULES FOR CLASSIFICATION
1. Results from seminars (at most 25 points)
2. Results from the written examination (at most 75 points)

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 aims to acquaint the students with the basics of differential and integral calculus of functions of several variables. This will enable them to attend engineering courses and deal with engineering problems. 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. The way of compensation for an absence is fully at the discretion of the teacher.

Not applicable.

Not applicable.

Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL Praha, 1988)
Satunino, L.S., Hille, E., Etgen, J.G.: Calculus: One and Several Variables, Wiley 2002
Sneall D.B. - Hosack J.M.: Calculus, An Integrated Approach
Thomas G. B.: Calculus (Addison Wesley, 2003)
Thomas G.B. - Finney R.L.: Calculus and Analytic Geometry, 7th edition

Děmidovič B. P.: Sbírka úloh a cvičení z matematické analýzy
Eliáš J., Horváth J., Kajan J.: Zbierka úloh z vyššej matematiky I, II, III, IV (Alfa Bratislava, 1985)
Karásek J.: Matematika II (skriptum VUT)
Mezník I. - Karásek J. - Miklíček J.: Matematika I pro strojní fakulty (SNTL 1992)
Rektorys K. a spol.: Přehled užité matematiky I,II (SNTL, 1988)
Thomas G.B., Finney R.L.: Calculus and Analytic Geometry (7th edition)