MB102 Differential and Integral Calculus

Faculty of Informatics
Autumn 2012
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Roman Šimon Hilscher, DSc. (lecturer)
doc. RNDr. Michal Veselý, Ph.D. (lecturer)
Mgr. Veronika Bernhauerová, Ph.D. (seminar tutor)
Mgr. Jitka Hořanská (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Mgr. Vojtěch Růžička, Ph.D. (seminar tutor)
Mgr. Michal Theuer, Ph.D. (seminar tutor)
Mgr. Iva Veselá, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
Mgr. Jan Meitner (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Contact Person: prof. RNDr. Jan Slovák, DrSc.
Supplier department: Faculty of Science
Timetable
Tue 12:00–13:50 D2, Fri 12:00–13:50 D3
  • Timetable of Seminar Groups:
MB102/T02B: Tue 18. 9. to Fri 21. 12. Tue 10:00–11:55 Učebna S8 (17), J. Hořanská
MB102/T02BB: Thu 20. 9. to Fri 21. 12. Thu 10:00–11:55 Učebna S8 (17), J. Hořanská
MB102/T02BBB: Fri 21. 9. to Fri 21. 12. Fri 10:00–11:55 Učebna S2 (36b), J. Hořanská
MB102/T03C: Thu 20. 9. to Fri 21. 12. Thu 8:00–9:55 Učebna S7 (18), I. Veselá
MB102/T03CC: Wed 19. 9. to Fri 21. 12. Wed 8:00–9:55 Učebna S10 (56), I. Veselá
MB102/T03CCC: Fri 21. 9. to Fri 21. 12. Fri 8:00–9:55 Učebna S7 (18), I. Veselá
MB102/01: Tue 18:00–19:50 M5,01013, V. Bernhauerová
MB102/02: Wed 12:00–13:50 G123, V. Bernhauerová
MB102/03: Mon 8:00–9:50 G124, V. Růžička
MB102/04: Mon 10:00–11:50 G124, V. Růžička
MB102/05: Tue 16:00–17:50 G125, M. Theuer
MB102/06: Tue 18:00–19:50 G125, M. Theuer
MB102/07: Tue 8:00–9:50 G123, E. Janoušková
MB102/08: Tue 10:00–11:50 G123, E. Janoušková
Prerequisites
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 second part of the block Mathematics I - IV. In the whole block the fundamentals of general algebra, linear algebra and mathematical analysis, including their applications in probability, statistics, and graph theory are presented. The course Mathematics II, 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 intergral) 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 ininite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get ackquanted with applications of such differential equations in physics, chemistry, and economics.
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
  • Elementary differential equations and their applications
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
  • 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
Bookmarks
https://is.muni.cz/ln/tag/FI:MB102!
Teaching methods
There are theoretical lectures, practical demonstration of the computational aspects, and standard tutorial accompanied by homework assessment.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, 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, Spring 2013, Autumn 2013, Spring 2014, Autumn 2014, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019, Autumn 2019.
  • Enrolment Statistics (Autumn 2012, recent)
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