MB103 Mathematics III

Faculty of Informatics
Autumn 2011
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Jan Slovák, DrSc. (lecturer)
Mgr. Martin Panák, Ph.D. (lecturer)
Mgr. Marek Filakovský, Ph.D. (seminar tutor)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
Mgr. Miroslava Maračková (seminar tutor)
Mgr. et Mgr. Alena Novotná (seminar tutor)
RNDr. Bc. Iveta Selingerová, Ph.D. (seminar tutor)
Mgr. Jaroslav Šeděnka, Ph.D. (seminar tutor)
doc. Mgr. Josef Šilhan, Ph.D. (seminar tutor)
Mgr. Aneta Tesařová (seminar tutor)
Mgr. Martin Tláskal (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 10:00–11:50 D1
  • Timetable of Seminar Groups:
MB103/01: Wed 8:00–9:50 B410, M. Panák
MB103/02: Wed 8:00–9:50 G124, J. Šilhan
MB103/03: Wed 10:00–11:50 G124, J. Šilhan
MB103/04: Wed 16:00–17:50 G123, M. Filakovský
MB103/05: Wed 18:00–19:50 G123, M. Filakovský
MB103/06: Fri 10:00–11:50 G123, J. Šeděnka
MB103/07: Fri 12:00–13:50 G123, J. Šeděnka
MB103/08: Tue 18:00–19:50 G125, M. Maračková
MB103/09: Fri 14:00–15:50 G123, M. Tláskal
MB103/10: Wed 12:00–13:50 G124, M. Maračková
MB103/11: Thu 8:00–9:50 G124, I. Selingerová
MB103/12: Thu 14:00–15:50 G125, J. Gregorovič
MB103/13: Thu 10:00–11:50 G125, J. Gregorovič
MB103/14: Thu 12:00–13:50 G125, J. Gregorovič
Prerequisites
Recommended: knowledge of elementary functions, polynomials, rational functions. Further the elements of matrix calculus, as well knowledge of vector spaces and linear mappings and basic tools of Calculus in one real variable.
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 17 fields of study the course is directly associated with, display
Course objectives
The third part of the block Mathematics I-IV. For the brief content and aims of the whole block see Mathematics I, MB101. Main objectives can be summarized as follows: to extend the techniques of the Calculus for functions of more variables, including a brief introduction to the theory of ordinary differential equations; to introduce a basic survey of concepts and tools in graph theory; to present a few explicit applications of the graph theory methods.
Syllabus
  • Calculus: differential and integral calculus in more variables, selected applications of Calculus, systems of differential equations, numerical solutions. Combinatorial methods: plane graphs, graph coloring, Euler circles, trees and minimal spaning trees, flows in networks, tree games and further selected applications.
Literature
  • RILEY, K. F., M. P. HOBSON and S. J. BENCE. Mathematical methods for physics and engineering : a comprehensive guide. 2nd ed. Cambridge: Cambridge University Press, 2002, xxiii, 123. ISBN 0-521-81372-7. info
  • MATOUŠEK, Jiří and Jaroslav NEŠETŘIL. Kapitoly z diskrétní matematiky. Vyd. 2., opr. Praha: Univerzita Karlova v Praze, nakladatelství Karolinum, 2000, 377 s. ISBN 8024600846. info
  • PLCH, Roman, Zuzana DOŠLÁ and Petr SOJKA. Matematická analýza s programem Maple. Díl 1, Diferenciální počet funkcí více proměnných. (The Multivariable Calculus with program Maple. Part 1, Differencial calculus). prvni. Brno: Masarykova Universita, 1999, 80 pp. ISBN 80-210-2203-5. URL info
  • DOŠLÁ, Zuzana and Ondřej DOŠLÝ. Diferenciální počet funkcí více proměnných. Vydání první. Brno: Vydavatelství Masarykovy univerzity, 1994, 130 stran. ISBN 8021009926. info
  • SEKANINA, Milan and Anna SEKANINOVÁ. Vybrané kapitoly z kombinatoriky a teorie grafů. 1. vyd. Brno: Rektorát UJEP, 1987, 51 s. info
  • NEŠETŘIL, Jaroslav. Teorie grafů. Vyd. 1. Praha: SNTL - Nakladatelství technické literatury, 1979, 316 s. URL info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB103!
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 and two hours of presentations of typical problem solutions. Obligatory tutorials, the exam includes at least 2 written mid-term tests and final written test.
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 Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2017, Autumn 2018, Autumn 2019.
  • Enrolment Statistics (Autumn 2011, recent)
  • Permalink: https://is.muni.cz/course/fi/autumn2011/MB103