MB152 Differential and Integral Calculus

Faculty of Informatics
Autumn 2023
Extent and Intensity
2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Ludmila Linhartová (seminar tutor)
Mgr. Ondřej Suchánek (seminar tutor)
Mgr. Jiřina Šišoláková, Ph.D. (seminar tutor)
Mgr. Gabriela Žárská (seminar tutor)
doc. Mgr. Jan Koláček, Ph.D. (assistant)
prof. Mgr. Petr Hasil, Ph.D. (alternate examiner)
Guaranteed by
doc. RNDr. Michal Veselý, Ph.D.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 16:00–17:50 D1
  • Timetable of Seminar Groups:
MB152/01: Wed 14:00–15:50 A318, J. Šišoláková
MB152/02: Tue 16:00–17:50 A320, G. Žárská
MB152/03: Tue 18:00–19:50 A320, G. Žárská
MB152/04: Wed 8:00–9:50 A320, O. Suchánek
MB152/05: Wed 10:00–11:50 A320, O. Suchánek
MB152/06: Tue 12:00–13:50 B204, L. Linhartová
Prerequisites
( ! MB202 Calculus B && ! MB102 Calculus )
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
there are 53 fields of study the course is directly associated with, display
Course objectives
This is a basic course of the mathematical analysis. The content is the differential and integral calculus and the theory of infinite series. Students will understand theoretical and practical methods and will be able to apply these methods to concrete problems.
Learning outcomes
At the end of the course students will be able to:
work both practically and theoretically with the derivative and (indefinite and definite) integral;
analyse the behaviour of functions of one real variable.
understand the theory and use of infinite number series and power series;
understand the selected applications of the calculus;
apply the methods of the calculus to concrete problems.
Syllabus
  • Continuous functions and limits
  • Derivative and its applications
  • Elementary functions
  • Indefinite integral
  • Riemann integral and its applications (including an introduction to basic differential equations)
  • Introduction to differential (and integral) calculus of functions of several variables
  • Infinite series
Literature
    recommended literature
  • RILEY, K.F., M.P. HOBSON and S.J. BENCE. Mathematical Methods for Physics and Engineering. second edition. Cambridge: Cambridge University Press, 2004, 1232 pp. ISBN 0 521 89067 5. info
  • SLOVÁK, Jan, Martin PANÁK and Michal BULANT. Matematika drsně a svižně (Brisk Guide to Mathematics). 1st ed. Brno: Masarykova univerzita, 2013, 773 pp. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6308-2013. Základní učebnice matematiky pro vysokoškolské studium info
    not specified
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
Teaching methods
There are theoretical lectures and standard tutorial
Assessment methods
Two hours of lectures per week and two hours of exercises/seminar group. Students, who collect during the semester (i.e., in exercises) less than 8 points (out of 24), are graded as X and they do not proceed to the final examination. The final exam is a written test for max 45 points. For successful examination (the grade at least E), the student needs in total 20 points or more.
Language of instruction
Czech
Further Comments
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2020, Autumn 2021, Autumn 2022, Autumn 2024.
  • Enrolment Statistics (Autumn 2023, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2023/MB152