M1101 Mathematical Analysis I

Faculty of Science
Autumn 2008
Extent and Intensity
4/2/0. 6 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Bedřich Půža, CSc. (lecturer)
doc. RNDr. Ladislav Adamec, CSc. (seminar tutor)
Mgr. Filip Münz, PhD. (seminar tutor)
Mgr. Ing. Eva Pekárková, Ph.D. (seminar tutor)
doc. RNDr. Michal Veselý, Ph.D. (seminar tutor)
doc. Mgr. Petr Zemánek, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 8:00–9:50 U-aula, Fri 8:00–9:50 M1,01017
  • Timetable of Seminar Groups:
M1101/01: Wed 10:00–11:50 G2,02003, B. Půža
M1101/02: Mon 12:00–13:50 M5,01013, L. Adamec
M1101/03: Wed 8:00–9:50 M4,01024, E. Pekárková
M1101/04: Thu 13:00–14:50 M4,01024, P. Zemánek
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
The first course of the mathematical analysis. The content is the differential and integral calculus of functions of one real variable. An attention is paid to the fact that students come from the middle schools with various level of mathematical knowledges.
Syllabus
  • Introduction: real numbers and their basic properties, general properties of real functions, elementary functions. axioms of real numbers and their properties) Differential calculus in one variable (functions and sequences, limits and continuity, derivative and its properties, applications, planar curves) Integral calculus in one variable (primitive function, integration of some elementary functions, Riemann integral and its properties, applications, Newton integral.)
Literature
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
  • NOVÁK, Vítězslav. Integrální počet funkcí jedné proměnné. Vyd. 1. Brno: Rektorát UJEP, 1980, 89 s. info
  • Diferenciální počet. Edited by Vojtěch Jarník. Vyd. 6. nezměn. Praha: Academia, 1974, 391 s. URL info
  • Integrální počet. Edited by Vojtěch Jarník. Vyd. 5. nezměn. Praha: Academia, 1974, 243 s. URL info
Assessment methods
Lectures: 4 hours/week. Tutorials: 2 hour/week with 2 written intrasemestral test (30% min. 10%). Final examen: written test (40% min. 10%) and oral examen (30% min. 10%). Results of the intrasemestral test is included in the overall evaluation.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2010 - only for the accreditation, 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 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2008/M1101