MU:MU01903 Mathematical Analysis III - Ex - Course Information
MU01903 Mathematical Analysis III - Exercises
Mathematical Institute in OpavaWinter 2011
- Extent and Intensity
- 0/2/0. 2 credit(s). Type of Completion: z (credit).
- Teacher(s)
- RNDr. Martin Kološ, Ph.D. (seminar tutor)
doc. RNDr. Michal Málek, Ph.D. (seminar tutor) - Guaranteed by
- Vladimír Averbuch, DrSc.
Mathematical Institute in Opava - Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Applied Mathematics (programme MU, B1101)
- Applied Mathematics in Risk Management (programme MU, B1102)
- Astrophysics (programme FPF, B1701 Fyz)
- Geometry (programme MU, M1101)
- Mathematical Analysis (programme MU, M1101)
- Mathematics (programme MU, B1101)
- Theoretical Physics (programme FPF, M1701 Fyz)
- Secondary School Teacher Traning in Physics and Mathematics (programme FPF, M1701 Fyz)
- Secondary School Teacher Training in Mathematics (programme FPF, M7504)
- Course objectives
- The exercises deal with differential calculus for functions of several real variables.
- Syllabus
- 1. Elements of topology of n-dimensional Euclidean space, norm and normed space.
2. Differential calculus for functions of several variables: limit and continuity of functions of several variables, partial and directional derivative, total differential, differentiation of implicite functions.
3. Extrema of functions of several variables: extrema on open and compact sets, method of Lagrange multiplicators.
- 1. Elements of topology of n-dimensional Euclidean space, norm and normed space.
- Literature
- recommended literature
- V. I. Averbuch, M. Málek. Matematická analýza III, IV. MÚ SU, Opava, 2003. URL info
- B. P. Děmidovič. Sbírka úloh a cvičení z matematické analýzy. Havlíčkův brod, 2003. info
- Z. Došlá, O. Došlý. Diferenciální počet funkcí více proměnných. Masarykova univerzita v Brně, Brno, 1994. ISBN 80-210-2052-0. info
- F. Jirásek, S. Čipera, M. Vacek. Sbírka řešených příkladů z matematiky II. Praha, SNTL, 1989. info
- Language of instruction
- Czech
- Further comments (probably available only in Czech)
- The course can also be completed outside the examination period.
- Enrolment Statistics (Winter 2011, recent)
- Permalink: https://is.slu.cz/course/sumu/winter2011/MU01903