M4140 Selected Topics in Mathematical Analysis

Faculty of Science
Spring 2001
Extent and Intensity
3/1/0. 7 credit(s). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Miroslav Bartušek, DrSc. (lecturer)
Guaranteed by
prof. RNDr. Miroslav Bartušek, DrSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: prof. RNDr. Miroslav Bartušek, DrSc.
Prerequisites (in Czech)
M3100 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
Course objectives
Applications of differential equations in Economics. Systems of linear differential equations,existence and uniqueness theorems, basic properties. Systems of nonlinear equations,existence and uniquenesstheorems of Cauchy problem,global properties of solutions. Differential inequalities. Autonomous systems, singular points. Stability. Linear equations of the 2-nd order- basic properties,Sturm's theorems. Basics of functional analysis.Fourrier's series.
Literature
  • RÁB, Miloš. Diferenciální rovnice. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1980, 196 s. URL info
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2000, 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 2001, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2001/M4140