MB102 Differential and Integral Calculus

Faculty of Informatics
Spring 2015
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. Mgr. Petr Hasil, Ph.D. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Milan Bačík (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Mgr. Paula Neubrandová (seminar tutor)
Mgr. Jan Reiss (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Marek Sas (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Thu 14:00–15:50 D1, Thu 14:00–15:50 D3
  • Timetable of Seminar Groups:
MB102/T01: Mon 16. 2. to Fri 15. 5. Mon 12:20–13:55 106, E. Janoušková, Nepřihlašuje se. Určeno pro studenty se zdravotním postižením.
MB102/01: Thu 10:00–11:50 B204, P. Hasil
MB102/02: Thu 12:00–13:50 B204, P. Hasil
MB102/03: Mon 16:00–17:50 A320, V. Růžička
MB102/04: Mon 18:00–19:50 A320, V. Růžička
MB102/05: Mon 16:00–17:50 B204, M. Bačík
MB102/06: Mon 18:00–19:50 B204, M. Bačík
MB102/07: Wed 16:00–17:50 B204, P. Neubrandová
MB102/08: Wed 18:00–19:50 B204, P. Neubrandová
MB102/09: Thu 8:00–9:50 B204, M. Chvátal
MB102/10: Wed 14:00–15:50 A320, M. Bačík
MB102/11: Wed 12:00–13:50 B204, E. Janoušková
MB102/12: Wed 14:00–15:50 B204, E. Janoušková
MB102/13: Fri 8:00–9:50 B204, J. Reiss
MB102/14: Fri 12:00–13:50 B204, J. Reiss
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 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
understand the theory and use of infinite number series and power series, and they will meet selected applications of the Calculus.
Syllabus
  • 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.
  • 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
  • Matematická analýza pro fyziky. Edited by Pavel Čihák. Vyd. 1. Praha: Matfyzpress, 2001, v, 320 s. ISBN 80-85863-65-0. info
  • 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
    not specified
  • 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
  • DOŠLÁ, Zuzana and Vítězslav NOVÁK. Nekonečné řady. Vyd. 1. Brno: Masarykova univerzita, 1998, 113 s. ISBN 8021019492. info
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)
Study Materials
The course is taught each semester.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Autumn 2007, Spring 2008, Autumn 2008, Spring 2009, Autumn 2009, Spring 2010, Autumn 2010, Spring 2011, Autumn 2011, Spring 2012, Autumn 2012, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.
  • Enrolment Statistics (Spring 2015, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2015/MB102