MB102 Differential and Integral Calculus
Faculty of InformaticsAutumn 2013
- Extent and Intensity
- 2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
- Teacher(s)
- doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Zdeňka Geršlová (seminar tutor)
prof. Mgr. Petr Hasil, Ph.D. (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (seminar tutor)
Ing. Mgr. Petr Valenta (seminar tutor) - Guaranteed by
- prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science - Timetable
- Tue 16:00–17:50 D1
- Timetable of Seminar Groups:
MB102/01: Mon 18:00–19:50 M4,01024, P. Valenta
MB102/02: Tue 18:00–19:50 G125, M. Veselý
MB102/03: Fri 12:00–13:50 G125, V. Růžička
MB102/04: Fri 14:00–15:50 G125, V. Růžička
MB102/05: Tue 12:00–13:50 G125, M. Sas
MB102/06: Tue 14:00–15:50 G125, M. Sas
MB102/07: Thu 16:00–17:50 G125, M. Maračková
MB102/08: Thu 18:00–19:50 G125, M. Maračková
MB102/09: Thu 10:00–11:50 G331, Z. Geršlová
MB102/10: Thu 12:00–13:50 G331, Z. Geršlová - Prerequisites
- ! NOW( MB202 Calculus B ) && ! MB202 Calculus B
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 16 fields of study the course is directly associated with, display
- Course objectives
- The course is the second part of the four semester block of Mathematics. The course Differential and Integral Calculus, in particular, is concerned with the basic concepts of Calculus including numerical and applied aspects. The students will be able to work both practically and theoretically with the derivative and integral (indefinite and definite integral) and use them for solving various applied problems and for the analysis of behavior of functions of one real variable. Students will understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
- Syllabus
- Polynomial interpolation, derivative of polynomials, cubic splines
- Continuous functions and limits
- Derivative and its applications
- Elementary functions
- Indefinite integral
- Riemann integral and its applications
- Infinite series and power series, Fourier series, integral transformations
- 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
- J. Slovák, M. Panák a kolektiv, Matematika drsně a svižně, učebnice v přípravě
- Bookmarks
- https://is.muni.cz/ln/tag/FI:MB102!
- Teaching methods
- There are theoretical lectures and standard tutorial accompanied by homework assessment.
- Assessment methods
- Two hours of lectures per week and two hours of compulsory exercises/seminar group. During the semester, two obligatory mid-term exams are avaluated (each for max 10 points). In the seminar groups there are 4-6 half an hour exams during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., in exercises and mid-term exams) less than 10 points, are graded as F and they do not proceed to the final examination. The final exam is two hours long and written for max 20 points. For successfull examination (the grade at least E) the student needs in total 20 points or more.
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- The course is taught each semester.
- Listed among pre-requisites of other courses
- Enrolment Statistics (Autumn 2013, recent)
- Permalink: https://is.muni.cz/course/fi/autumn2013/MB102