M3501 Mathematical Analysis 3

Faculty of Science
Autumn 2004
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
RNDr. Jarmila Elbelová, Ph.D. (seminar tutor)
Mgr. Barbora Havířová, Ph.D. (seminar tutor)
Mgr. Zdeňka Hencová (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Timetable
Wed 7:00–8:50 D3
  • Timetable of Seminar Groups:
M3501/01: Thu 7:00–8:50 UM, B. Havířová
M3501/02: Mon 18:00–19:50 UM, J. Elbelová, Čt 14:00--15:50 FI
M3501/03: Fri 10:00–11:50 UM, Z. Hencová
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
Ordinary differential equations. Metric spaces. Differential calculus in more variables: limits and partial derivatives.
Syllabus
  • Ordinary differential equations: elementary methods of solution of first order differential equations, second order linear differential equations with constant coefficients. 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.
Literature
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 3., dopl. Praha: Academia, 1976, 669 s. URL info
  • RÁB, Miloš. Metody řešení obyčejných diferenciálních rovnic. 2. přeprac. vyd. Brno: Masarykova univerzita, 1998, 96 s. ISBN 8021018186. 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)
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 2005, Autumn 2006, 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 2004, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2004/M3501