Matematika II.

Garant předmětu:

Lecturer:

Tutor:

Supervisor:

Department of Technical Mathematics

Synopsis:

Open and closed set, boundary in E^k. Real function of k-variables. 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 Gauss-Ostrogradskij theorem.

Requirements:

Syllabus of lectures:

Syllabus of tutorials:

Study Objective:

Study materials:

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans:

• 10 62 67 00 BTZI 2012 P základ (compulsory course in the program)
• 11 68 73 00 BTZI 2012 K základ (compulsory course in the program)
• 02 26 31 34 BSTR EPT 2012 P základ (compulsory course in the program)
• 03 26 31 36 BSTR IAT 2012 P základ (compulsory course in the program)
• 04 26 31 38 BSTR KPP 2012 P základ (compulsory course in the program)
• 06 40 45 48 BSTR EPT 2012 K základ (compulsory course in the program)
• 07 40 45 50 BSTR IAT 2012 K základ (compulsory course in the program)
• 08 40 45 52 BSTR KPP 2012 K základ (compulsory course in the program)
• 05 40 45 46 BSTR TZP 2012 K základ (compulsory course in the program)
• 16 80 85 00 BVES TVA 2012 P základ (compulsory course in the program)
• 14 80 85 00 BVES MAT 2012 P základ (compulsory course in the program)
• 15 80 85 00 BVES OBR 2012 P základ (compulsory course in the program)
• 13 80 85 00 BVES EKO 2012 P základ (compulsory course in the program)
• 18 86 90 00 BVES MAT 2012 K základ (compulsory course in the program)
• 20 86 90 00 BVES TVA 2012 K základ (compulsory course in the program)
• 19 86 90 00 BVES OBR 2012 K základ (compulsory course in the program)
• 17 86 90 00 BVES EKO 2012 K základ (compulsory course in the program)
• 05 40 45 46 DSTR TZP 2012 K základ (compulsory course in the program)
• 06 40 45 48 DSTR EPT 2012 K základ (compulsory course in the program)
• 07 40 45 50 DSTR IAT 2012 K základ (compulsory course in the program)
• 08 40 45 52 DSTR KPP 2012 K základ (compulsory course in the program)
• 10 62 67 00 DTZI 2012 P základ (compulsory course in the program)
• 11 68 73 00 DTZI 2012 K základ (compulsory course in the program)
• 13 80 85 00 DVES 2012 P úvodní studijní plán (compulsory course in the program)
• 13 80 85 00 DVES EKO 2012 P (compulsory course in the program)
• 14 80 85 00 DVES MAT 2012 P (compulsory course in the program)
• 15 80 85 00 DVES OBR 2012 P (compulsory course in the program)
• 16 80 85 00 DVES TVA 2012 P (compulsory course in the program)
• 17 86 90 00 DVES 2012 K úvodní studijní plán (compulsory course in the program)