M3501 Mathematical Analysis 3

Faculty of Science
Autumn 2006
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
prof. RNDr. Zuzana Došlá, DSc. (lecturer)
RNDr. Roman Plch, Ph.D. (lecturer)
RNDr. Jiří Glozar (seminar tutor)
Mgr. Michal Bulant, Ph.D. (assistant)
prof. RNDr. Ivana Černá, CSc. (assistant)
Bc. Miroslav Hofbauer (assistant)
Mgr. Nina Hrtoňová (assistant)
doc. RNDr. Jaromír Kuben, CSc. (assistant)
prof. Ing. Martin Kvizda, Ph.D. (assistant)
doc. PhDr. Ing. Radim Marada, Ph.D. (assistant)
prof. RNDr. Luděk Matyska, CSc. (assistant)
RNDr. Miroslava Misáková (assistant)
PhDr. Hana Němcová (assistant)
doc. PhDr. Jiří Němec, Ph.D. (assistant)
Mgr. Martin Panák, Ph.D. (assistant)
prof. RNDr. Tomáš Pitner, Ph.D. (assistant)
Mgr. Monika Pršancová (assistant)
Ing. Mgr. Jiří Rambousek, Ph.D. (assistant)
RNDr. Michal Růžička, Ph.D. (assistant)
doc. RNDr. Petr Sojka, Ph.D. (assistant)
Mgr. Silvie Šabacká (assistant)
RNDr. Petra Šarmanová, Ph.D. (assistant)
prof. RNDr. Eva Táborská, CSc. (assistant)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Thu 8:00–9:50 D3
  • Timetable of Seminar Groups:
M3501/01: Thu 14:00–15:50 N41, Thu 15:00–15:50 M3,04005 - dříve Janáčkovo nám. 2a, Z. Došlá
M3501/02: Thu 10:00–11:50 N21, Thu 11:00–11:50 M3,04005 - dříve Janáčkovo nám. 2a, J. Glozar
Prerequisites
Mathematical Analysis 1 (M1510), Mathematical Analysis 2 (M2510)
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
Course objectives
Metric spaces. Differential calculus in more variables: limits, partial derivatives and extremes of functions.
Syllabus
  • Metric spaces: metrics, convwergence, closure, boundary and interior of a set, continuous mapping, compact set, Banach contraction principle. Differential calculcul of functions of several variables, limits, continuity, partial derivatives and extremes of functions.
Literature
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 3., dopl. Praha: Academia, 1976, 669 s. URL info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Metrické prostory : teorie a příklady. 2. přeprac. vyd., Dotisk se. Brno: Masarykova univerzita, 2000, [iii], 83. ISBN 8021013281. info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vyd. 2. přeprac. Brno: Masarykova univerzita, 1999, iv, 143. ISBN 8021020520. info
  • PLCH, Roman, Zuzana DOŠLÁ and Petr SOJKA. Matematická analýza s programem Maple. Díl 1, Diferenciální počet funkcí více proměnných. (The Multivariable Calculus with program Maple. Part 1, Differencial calculus). prvni. Brno: Masarykova Universita, 1999, 80 pp. ISBN 80-210-2203-5. URL info
Assessment methods (in Czech)
Přednáska a cvičení.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2006, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2006/M3501