MB000 Calculus I

Faculty of Informatics
Autumn 2009
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Recommended Type of Completion: zk (examination). Other types of completion: k (colloquium), z (credit).
Teacher(s)
doc. RNDr. Bedřich Půža, CSc. (lecturer)
Mgr. Marek Filakovský, Ph.D. (seminar tutor)
Mgr. Zdeněk Kadeřábek, Ph.D. (seminar tutor)
Mgr. Antonín Tulach (seminar tutor)
doc. Mgr. Jan Koláček, Ph.D. (assistant)
Guaranteed by
doc. RNDr. Bedřich Půža, CSc.
Faculty of Informatics
Contact Person: doc. RNDr. Bedřich Půža, CSc.
Timetable
Fri 8:00–9:50 D2
  • Timetable of Seminar Groups:
MB000/01: Mon 8:00–9:50 B003, M. Filakovský
MB000/02: Mon 10:00–11:50 B003, M. Filakovský
MB000/03: Thu 18:00–19:50 B003, Z. Kadeřábek
MB000/04: Tue 8:00–9:50 B011, A. Tulach
Prerequisites
no
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
there are 9 fields of study the course is directly associated with, display
Course objectives
It is the first course of the mathematical analysis that is devoted to the differential and integral calculus of functions of one variable. After passing the course, the student will be able: to define and interpret the basic notions used in the basic parts of Mathematical analysis and to explain their mutual context; to formulate relevant mathematical theorems; to use effective techniques utilized in basic fields of analysis; to apply acquired pieces of knowledge for the solution of specific problems including problems of applicative character.
Syllabus
  • Real numbers.
  • Basic properties of real functions of one variable, composite and inverse function.
  • Real sequences, limits and cluster points.
  • Limit of real functions of one variable.
  • Derivative and differential.
  • Derivatives of elementary functions.
  • Investigation of graphs of functions.
  • Primitive function.
  • Substitution method and integration by parts.
  • Riemann integral of functions of one variable.
  • Geometrical and physical applications of the Riemann integral.
  • Improper integrals.
Literature
  • NOVÁK, Vítězslav. Diferenciální počet v R (Differential number in R). Brno: Masarykova univerzita Brno, 1997, 250 pp. ISBN 80-210-1561-6. info
  • FUCHSOVÁ, Libuše. Matematická analýza. Vyd. 2. Brno: Masarykova univerzita, 1992, 116 s. ISBN 8021005149. info
  • NOVÁK, Vítězslav. Integrální počet v R. 2. vyd. Brno: Masarykova univerzita, 1994, 148 s. ISBN 8021009918. info
Teaching methods
theoretical preparation, exercise
Assessment methods
Form: lectures and exercises. Exam: written. Requirements: to manage the theory from the lecture, to be able to solve the problems similar to those from exercises
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2010, Autumn 2011.
  • Enrolment Statistics (Autumn 2009, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2009/MB000