Mathematics II
Code  Completion  Credits  Range  Language 

E011062  Z,ZK  8  4P+4C 
 Lecturer:
 Tutor:
 Supervisor:
 Department of Technical Mathematics
 Synopsis:

Open and closed set, boundary in E^k. Real function of kvariables. Partial derivatives and differentiability. Gradient and directional derivative. Differential operators div (divergence) and curl (rotation). Function given implicitly. Local and global (= absolute) extremes of a function of more
variables.
Double integral, volume (=triple) integral,
Fubini theorem. Transformation of integrals to polar, cylindrical and spherical coordinates. A simple smooth curve and line integral of a scalar and vector function.
Circulation and Green's theorem.
A potential vector field, independence of a line integral on the path. Simple smooth surface and surface integral of a scalar function and a vector function. Flow of a vector field through a surface. The GaussOstrogradskij theorem.
 Requirements:
 Syllabus of lectures:
 Syllabus of tutorials:
 Study Objective:
 Study materials:
 Note:
 Further information:
 No timetable has been prepared for this course
 The course is a part of the following study plans:

 12 74 79 00 BTZSI 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 BSTR 2012 A  prezenční anglicky (compulsory course in the program)
 09 54 59 00 DSTR 2012 A  prezenční anglicky (compulsory course in the program)