M1510 Mathematical Analysis I

Faculty of Science
Autumn 2000
Extent and Intensity
2/2/0. 5 credit(s). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
RNDr. Pavel Šišma, Dr. (seminar tutor)
doc. Ing. Jiří Šremr, Ph.D. (seminar tutor)
Mgr. Daniel Vybíral (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 2001, 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 2000, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2000/M1510