M1510 Mathematical Analysis I

Faculty of Science
Autumn 2001
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Josef Kalas, CSc. (lecturer)
doc. RNDr. Lenka Přibylová, Ph.D. (seminar tutor)
doc. Ing. Jiří Šremr, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
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
Differential Calculus of Functions of One variable -- Definitions of a mapping, a function, a sequence, a function composed and inverse. -- Sequences of real numbers (limit, limsup, liminf). -- Limit of functions (proper and improper), continuity of functions. -- Elementary functions, basic properties and graphs. -- Derivative of functions, geometrical meaning, computation. -- Theorems on continuous functions and mean-value theorem. -- Extrema, inflex points, asymptotics, behaviour of functions. -- Taylor theorem, differential and their applications.
Literature
  • FUCHSOVÁ, Libuše. Matematická analýza. Vyd. 2. Brno: Masarykova univerzita, 1992, 116 s. ISBN 8021005149. info
  • NOVÁK, Vítězslav. Diferenciální počet v R. 2. přeprac. vyd. Brno: Masarykova univerzita, 1997, 231 s. ISBN 8021015616. info
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is taught annually.
The course is taught: every week.
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 2002, Autumn 2003, Autumn 2004, 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.
  • Enrolment Statistics (Autumn 2001, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2001/M1510