MB152 Differential and Integral Calculus
Faculty of InformaticsAutumn 2024
- Extent and Intensity
- 2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
In-person direct teaching - Teacher(s)
- doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Ludmila Linhartová (seminar tutor)
Mgr. Ondřej Suchánek (seminar tutor)
Mgr. Jakub Záthurecký, Ph.D. (seminar tutor)
doc. Mgr. Jan Koláček, Ph.D. (assistant)
prof. Mgr. Petr Hasil, Ph.D. (alternate examiner)
Mgr. Jiřina Šišoláková, 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
- Tue 17. 9. to Tue 10. 12. Tue 16:00–17:50 D3
- Timetable of Seminar Groups:
MB152/02: Thu 19. 9. to Thu 12. 12. Thu 12:00–13:50 A320, L. Linhartová
MB152/03: Thu 19. 9. to Thu 12. 12. Thu 14:00–15:50 A320, L. Linhartová
MB152/04: Wed 18. 9. to Wed 11. 12. Wed 14:00–15:50 B204, O. Suchánek
MB152/05: Wed 18. 9. to Wed 11. 12. Wed 16:00–17:50 B204, O. Suchánek
MB152/06: Wed 18. 9. to Wed 11. 12. Wed 18:00–19:50 B204, O. Suchánek
MB152/07: Wed 18. 9. to Wed 11. 12. Wed 12:00–13:50 B204, J. Záthurecký - Prerequisites
- !NOW( MB142 Applied math analysis )
High school mathematics. Note that MB142 is a lightweight version of MB152. - 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 36 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
- 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
- Study Materials
The course is taught annually. - Listed among pre-requisites of other courses
- PřF:M3121 Probability and Statistics I
M2100 || FI:MB001||FI:MB102||M2B02||FI:MB202|| NOW(MIN301) || MIN301 || FI:MB152 - MB142 Applied math analysis
!MB152 && !NOW(MB152) - MB143 Design and analysis of statistical experiments
(MB141 || MB142 || MB151 || MB152) && !MB153 && !NOW(MB153) - MB153 Statistics I
(MB151 || MB152 || PřF:M1110 || PřF:M1100) && !NOW(MB143) - MB154 Discrete mathematics
MB151 || MB152 || PřF:M1110 || PřF:M1100 - PV291 Introduction to Digital Signal Processing
MB151&& MB152
- PřF:M3121 Probability and Statistics I
- Enrolment Statistics (recent)
- Permalink: https://is.muni.cz/course/fi/autumn2024/MB152