Mathematical Analysis of Function of More Variables
Code | Completion | Credits | Range | Language |
---|---|---|---|---|
11MVP | Z,ZK | 3 | 2+2 | Czech |
- Lecturer:
- Ondřej Navrátil (gar.), Magdalena Hykšová
- Tutor:
- Ondřej Navrátil (gar.), Martina Bečvářová, Magdalena Hykšová, Jiří Taufer, Tomáš Třasák, Olga Vraštilová
- Supervisor:
- Department of Applied Mathematics
- Synopsis:
-
Metric spaces, sequences in metric spaces, limit of sequence in metric space. Differential calculus of functions of several variables, differential of function, partial derivations, implicitly defined functions, extremes of functions of several variables. Integral calculus of functions of several variables, Riemann integral, integral over curves and surfaces in R3, application of integral calculus in physics.
- Requirements:
-
secondary school mathematics
- Syllabus of lectures:
- Syllabus of tutorials:
- Study Objective:
-
Differential calculus of functions of several variables, integral calculus of function of several variables, Riemann integral in Rn.
- Study materials:
-
Nagy J, Navrátil O. Diderenciální a integrální počet funkcí více proměnných, Praha ČVUT, 2005
Nagy J., Taufer J.: Diferenciální počet funkcí více proměnných, Praha, skriptum ČVUT, 1997
Nagy J., Taufer J.: Integrální počet funkcí více proměnných,Praha, skriptum ČVUT, 1999
Jarník V.: Diferenciální počet 2, Praha, Academia, 1984
- Note:
- Time-table for winter semester 2011/2012:
- Time-table is not available yet
- Time-table for summer semester 2011/2012:
- Time-table is not available yet
- The course is a part of the following study plans:
-
- bak.prez.10/11 (compulsory course)
- TUL bak.prez.10/11 (compulsory course)
- MED bak.komb.10/11 (compulsory course)
- MED bak.komb.11/12 (compulsory course)
- bak.prez.11/12 (compulsory course)
- TUL bak.prez.11/12 (compulsory course)
- AUT bak.prez.11/12 (compulsory course)
- DOS bak.prez.11/12 (compulsory course)
- ITS bak.prez.11/12 (compulsory course)
- LED bak.prez.11/12 (compulsory course)
- MED bak.prez.11/12 (compulsory course)