Czech

6

Not applicable.

The knowledge and skills obtained during the course will appear on the following fields
1. Passing the course, students will master computing with complex numbers and all forms of their expression including the Euler formulas. They will learn the computation of n-th roots and solving binomial equations.
2. Students manage the classification and solution of the simpliest kinds of first-order differential equations and the n-th order linear differential equations with constant coefficients. They will master its solution by the method of the variation of constants and by the method of improper coefficients. Further, they will be aquainted with
3. Passing the course, students are able follow and apply the methods of differential calculus of n variables. In more details, they learn to find, describe and express domains, graphs, contour lines of functions. They master the concepts of a limit, partial and direction derivative and total differential with their properties. They will be able to find local and global extremes and work with implicitely given functions.
4. Passing the course, students will manage double and triple integrals and their applications.
5. Students will be acquainted with the elements of the field theory, Hamilton operator and fundamental physical fields. They will manage the computation of a potential of a vector field in case it exists.
6. Finishing the course, students will understand the concepts of the curve and surface integral in both of the scalar and vector field in context with the physical meaning. They will be able to decide about the independency of the oriented curve integral on the choice of the oriented integration path and in the positive case compute the integral by means of a potential.
They will be endowed by the knowledge of integral theorems with their physical meaning and applications. They will master the computation of various integrals by the technique of integral theorems.
7. Passing the course, students are expected to solve simple tasks of the physical character appearing in the advanced courses and engineering disciplines. Managing both of the mathematical courses during bachelor studies should enable reading and comprehension the mathematical symbolics used in the literature extending the knowlege in the studied branch.

Differential and integral calculus of functions of one variable, elements of the linear algebra and analytical geometry.
The necessary condition for obtaining credit is having the credit from Mathematics 1 and the examination can be passed only if the examination from Mathematics 1 has been succesfuly passed.

Not applicable.

The course uses teaching methods in form of Lecture - 2 teaching hours per week, seminars - 2 teaching hours per week. The e-learning system (LMS Moodle) is available to teachers and students.

Not applicable.

Not applicable.

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The aim of the course is obtaining the theoretical background necessary for studies of physics, particularly elementary kinds of differential equations, elements of the theory of fields, Hamilton operator and integral theorems.

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Škrášek J., Tichý Z: Základy aplikované matematiky III. SNTL Praha. (CS)
Škrášek J., Tichý Z.: Matematika 1,2. SNTL Praha. (CS)
Polcerová, M.: Matematika II v chemii a v praxi, skripta. FCH VUT v Brně, Brno. (CS)
Veselý P.: Matematika pro bakaláře. VŠCHT Praha. (CS)
Rektorys K.: Přehled užité matematiky I, II. Prometheus Praha. (CS)
Polcerová M., Polcer J.: Sbírka příkladů z matematiky II. FCH VUT v Brně, Brno. (CS)

Eliáš J., Horváth J., Kajan J., Šulka R.: Zbierka úloh z vyššej matematiky. ALFA Bratislava. (CS)
Ivan, J.: Matematika 2. Alfa Bratislava. (CS)
Kosmák, L., Potůček, R., Metrické prostory, Academia 2004, ISBN 80-200-1202-8 (CS)
Bubeník F.: Mathematics for Engineers. ČVUT Praha. (CS)
Smith, R., Minton, R.B.: Calculus - Early Trancscendental Functions. MacGraw Hill, New York. (CS)
Mortimer, R.: Mathematics for Physical Chemistry. Academic Press, Memphis. (CS)

13 hours, compulsory