M4502 Mathematical Analysis III

Faculty of Science
Spring 2000
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Josef Kalas, CSc. (lecturer)
Mgr. Pavel Blažek (seminar tutor)
Mgr. Lenka Plášková (seminar tutor)
doc. Ing. Jiří Šremr, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Zuzana Došlá, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Zuzana Došlá, DSc.
Prerequisites (in Czech)
M3501 Mathematical Analysis III
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
Syllabus
  • Metric Spaces -- Basic concepts and properties of metric spaces, spaces $\Bbb E^n$. -- Cauchy and convergent sequences, complete spaces. -- Banach fixed point theorem and its applications. -- Continuous mappings of compact spaces. Differential Calculus of Functions of Two or More variables -- Notion of a function of two or more variables, limits, continuity (on the base of metrix spaces). -- Partial derivatives and differentiability. -- Taylor theorem. -- Local and absolute extrema. -- Implicit functions. Differential Equations -- First order differential equations, the existence--uniqueness theorem. -- Elementary methods for solving first order diferential equations and applications. -- Second order linear differential equations with constant coefficients. Infinite series of numbers: convergence, absolute and nonabsolute convergence, basic tests for convergence, operations with series.
Bookmarks
https://is.muni.cz/ln/tag/PříF:M4502!
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2001, Spring 2002, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019, Spring 2020.
  • Enrolment Statistics (Spring 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2000/M4502