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This course is intended for foreign students studying at our faculty and domestic students who registered for this subject in their study plan. Conditions and requirements for this course are almost identical to the equivalent course being held in Czech language.
Functions of several variables - domain, limit, continuity, partial derivatives, extrema, implicit function. Multiple integrals - double and triple integral, Fubini's theorem, applications Line integral, surface integral, Gauss theorem, potential.
doc. Mgr. Ing. Tomáš Bodnár, Ph.D., Office: KN:D-303
Mgr. Hynek Řezníček , Office: KN:D-205b
In the case of any problem (especially with assessments from tutorials, or with exams) contact your teacher.
Tutorials are obligatory. Assessment from tutorials (written in the study record) confirms student's presence and activity at the tutorials and elaboration of homework and tests. Assessment is a necessary condition for the exam. (I.e. student can make the exam only with the assessment written in the study record.) The assessments from tutorials obtained in previous years are not accepted. Student has to obtain the assessment again. The assessments are written in the last semestral week, not later than one week after. Exceptions are possible only with the explicit agreement of the chair of the institute.
If you have failed in the 1st test, you should solve the following exercises (from the Examples section):
If you have failed in the 2nd test, you should solve the following exercises (from the Examples section):
It is expected that your results will be correct (compare your results with the solution in Czech before submission).
The exams from Mathematics II (level A and B) will be organized in the same way as in Mathematics I. There are several necessary conditions to be fulfilled by students in order to be admitted to the exam:
These conditions will be followed strictly, without any exceptions.
Dates of exams: Thursday 30.5., 6.6., 13.6., 20.6., 27.6., and 12. 9. 2019.
The detailed information is available in the Notice of exams from Mathematics II for the academic year 2018/19.
The Collection of examples from Mathematics II written in Czech by authors E. Brožíková, M. Kittlerová and F. Mráz (2016) contains both examples and their solutions. Here you find several parts translated in English. The examples in English have the same numbering but they are without solutions (corresponding solution you can find in the Czech version, which is in the brackets). English translations will be added gradually. By the star (*) are denoted the examples, which go beyond the requirements of the exam this year.
Web additional sources: