M1510 Mathematical Analysis 1

Faculty of Science
Autumn 2011
Extent and Intensity
2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Jaromír Šimša, CSc. (lecturer)
Mgr. Tamara Lorencová, Ph.D. (seminar tutor)
Mgr. Petr Šatný, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Thu 12:00–13:50 M1,01017
  • Timetable of Seminar Groups:
M1510/01: Fri 10:00–11:50 M4,01024, P. Šatný
M1510/02: Wed 16:00–17:50 M6,01011, P. Šatný
M1510/03: Wed 12:00–13:50 M3,01023, T. Lorencová
Prerequisites
(! M1100 Mathematical Analysis I )&&(! M1101 Mathematical Analysis I )&&(! FI:MB000 Calculus I )&& !NOWANY( M1100 Mathematical Analysis I , M1101 Mathematical Analysis I , FI:MB000 Calculus I )
High school mathematics.
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
At the end of the course students should be able to understand and explain basic notions and results of differential calculus a and apply them to concrete function analysis.
Syllabus
  • Real numbers. Sequences and elementary functions. Differential calculus of one variable (limit and continuity, derivative, investigation of the graphs of functions, Taylor's formula).
Literature
  • DOŠLÁ, Zuzana and Jaromír KUBEN. Diferenciální počet funkcí jedné proměnné (Differential Calculus of Functions of One Variable). Brno: Masarykova Univerzita v Brně, 2003, 215 pp. skriptum. ISBN 80-210-3121-2. info
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
Teaching methods
Lecture with a seminar.
Assessment methods
Two written tests during the course, written and oral exam.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
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 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.
  • Enrolment Statistics (Autumn 2011, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2011/M1510