MB152 Differential and Integral Calculus

Faculty of Informatics
Autumn 2021
Extent and Intensity
2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Taught in person.
Teacher(s)
doc. Mgr. Petr Hasil, Ph.D. (lecturer)
Mgr. Petr Liczman (seminar tutor)
Mgr. Petr Liška, Ph.D. (seminar tutor)
Mgr. Gabriela Plchová (seminar tutor)
Mgr. Richard Smolka (seminar tutor)
Bc. Barbora Sobolová (seminar tutor)
Mgr. Jiřina Šišoláková (assistant)
doc. RNDr. Michal Veselý, Ph.D. (alternate examiner)
Guaranteed by
doc. Mgr. Petr Hasil, Ph.D.
Department of Computer Science - Faculty of Informatics
Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science
Timetable
Tue 14. 9. to Tue 7. 12. Tue 14:00–15:50 D1
  • Timetable of Seminar Groups:
MB152/01: Wed 15. 9. to Wed 8. 12. Wed 10:00–11:50 A320, P. Liška
MB152/02: Thu 16. 9. to Thu 9. 12. Thu 10:00–11:50 A320, P. Liška
MB152/03: Thu 16. 9. to Thu 9. 12. Thu 12:00–13:50 A320, P. Liška
MB152/04: Wed 15. 9. to Wed 8. 12. Wed 8:00–9:50 B204, G. Plchová
MB152/05: Wed 15. 9. to Wed 8. 12. Wed 10:00–11:50 B204, G. Plchová
MB152/06: Thu 16. 9. to Thu 9. 12. Thu 14:00–15:50 B204, P. Liczman
MB152/07: Thu 16. 9. to Thu 9. 12. Thu 18:00–19:50 B204, P. Liczman
MB152/08: Wed 15. 9. to Wed 8. 12. Wed 16:00–17:50 A320, R. Smolka
MB152/09: Wed 15. 9. to Wed 8. 12. Wed 18:00–19:50 A320, R. Smolka
MB152/10: Fri 17. 9. to Fri 10. 12. Fri 8:00–9:50 A320, B. Sobolová
MB152/11: Fri 17. 9. to Fri 10. 12. Fri 10:00–11:50 A320, B. Sobolová
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. The emphasis on theory and examples is balanced in the course.
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. doi: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. During the semester, there are 5 written tests in the seminar groups. The seminars are evaluated in total by max 10 points. Students, who collect during the semester (i.e., in exercises) less than 5 points, are graded as X and they do not proceed to the final examination. The final exam is a written test for max 35 points. For successful examination (the grade at least E), the student needs in total 20 points or more.
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 2020.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2021/MB152