M3501 Mathematical Analysis 3

Faculty of Science
Autumn 2005
Extent and Intensity
2/2/0. 3 credit(s) (fasci plus compl plus > 4). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Josef Kalas, CSc. (lecturer)
Mgr. Radka Smýkalová, Ph.D. (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 8:00–9:50 N21
  • Timetable of Seminar Groups:
M3501/01: Wed 12:00–13:50 UM, R. Smýkalová
M3501/02: Wed 10:00–11:50 UP2, R. Smýkalová
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. 1. dotisk 2. přeprac. vyd. 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 2004, 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 2005, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2005/M3501