Mathematical Analysis of Function of More Variables

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)