MB102 Mathematics II

Faculty of Informatics
Spring 2011
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
Mgr. Martin Panák, Ph.D. (lecturer)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
Mgr. Jiří Janda, Ph.D. (seminar tutor)
Mgr. Hana Julínková (seminar tutor)
Mgr. Jan Meitner (seminar tutor)
doc. Mgr. Josef Šilhan, Ph.D. (seminar tutor)
Mgr. Radek Šlesinger, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 14:00–15:50 D1, Tue 8:00–9:50 D1, Tue 14:00–15:50 D1
  • Timetable of Seminar Groups:
MB102/01: Thu 12:00–13:50 G124, J. Šilhan
MB102/02: Thu 14:00–15:50 G124, J. Šilhan
MB102/03: Wed 12:00–13:50 G125, J. Janda
MB102/04: Wed 14:00–15:50 G125, J. Janda
MB102/05: Wed 16:00–17:50 G125, J. Meitner
MB102/06: Wed 18:00–19:50 G125, J. Meitner
MB102/07: Fri 8:00–9:50 G125, H. Julínková
MB102/08: Fri 10:00–11:50 G125, H. Julínková
MB102/09: Thu 16:00–17:50 G124, R. Šlesinger
MB102/10: Thu 18:00–19:50 G124, R. Šlesinger
MB102/11: Thu 12:00–13:50 G125, J. Gregorovič
MB102/12: Thu 14:00–15:50 G125, J. Gregorovič
Prerequisites
! MB003 Linear Algebra and Geometry I &&!NOW( MB003 Linear Algebra and Geometry I )
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 19 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 infinite number series and power series, as well as with the elementary methods for solving simple differential equations. Also they will get acquainted 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
Lecture about the theory with illustrative solved problems. Special illustrative solved problems given in a separate lecture. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures per week, two hours of demonstration of problems solutions, two hours of compulsory exerciser/seminar group. In the seminar groups there are usually 3-4 one hour exams during the semester. The final exam is two hours long and written. The results from seminar groups have partial effect on the final grade.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
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, Autumn 2011, Spring 2012, Autumn 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 (Spring 2011, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2011/MB102