MB101 Mathematics I

Faculty of Informatics
Spring 2006
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)
Ing. Mgr. Dávid Dereník (seminar tutor)
RNDr. Jiří Glozar (seminar tutor)
doc. Mgr. Kamila Hasilová, Ph.D. (seminar tutor)
Mgr. et Mgr. Lukáš Maňásek (seminar tutor)
RNDr. Karel Šrot, Ph.D. (seminar tutor)
Mgr. Jiří Vítovec, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Timetable
Mon 12:00–13:50 D1, Tue 12:00–13:50 D1
  • Timetable of Seminar Groups:
MB101/sc: Mon 14:00–15:50 C502, Tue 9:00–10:50 B003, Tue 11:00–12:50 C501, Thu 12:00–13:50 C525, D. Dereník, L. Maňásek
MB101/01: Thu 12:00–13:50 B011, K. Hasilová
MB101/02: Thu 14:00–15:50 B011, K. Hasilová
MB101/03: Fri 12:00–13:50 B003, J. Glozar
MB101/04: Wed 18:00–19:50 B204, J. Vítovec
Prerequisites
(! M005 Foundations of mathematics )&&(! MB005 Foundations of mathematics )&&(!NOW( MB005 Foundations of mathematics ))
High school mathematics.
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
there are 10 fields of study the course is directly associated with, display
Course objectives
The course is the first part of the four semestr block, Mathematics I - IV. In the entire block, the fundamentals of general algebra, linear algebra and analysis, numerical methods, combinatorics and graph theory, including some applications in probability theory and statistics are presented. The course Mathematics I, in particular, is concerned with the principles of mathematics, linear algebra and elementary geometry.
Syllabus
  • Scalars, scalar functions, combinatorial examples and identities, finite probability, geometric probability, difference equations.
  • Motivation geometric problems in space and plane, systems of linear equations, elimination of variables.
  • Relations and mappings, injectiv and surjectiv mappings, set cardinality, equivalences and decompositions.
  • Vector, vector space, linear independence, basis, linear mappings, matrices, matrix calculus and determinants.
  • Algebraical applications: systems of linear equations, linear difference equations, Markov chains
  • Geometrical applications: line, plane, parametric versus non-paramteric descriptions, positioning of planes and lines, projective space extension, angle, lenght, volume.
Literature
  • FUCHS, Eduard. Logika a teorie množin (Úvod do oboru). 1. vyd. Brno: Rektorát UJEP, 1978, 175 s. info
  • FUCHS, Eduard. Kombinatorika a teorie grafů. Vyd. 1. Praha: Státní pedagogické nakladatelství, 1986, 138 s. info
  • ROSICKÝ, Jiří. Algebra. I. 1. vyd. Brno: Rektorát UJEP, 1982, 140 . info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Masarykova univerzita, 1993, 145 s. ISBN 8021008164. info
Bookmarks
https://is.muni.cz/ln/tag/FI:MB101!
Assessment methods (in Czech)
Dvouhodinová přednáška a dvouhodinové přednášená ukázková řešení úloh, spolu s povinnostmi samostatného řešení a odevzdávání úloh se zázemím cvičení. Zakončení písemnou zkouškou na konci semestru, s jednou další v semestru.
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 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 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, Spring 2015, Autumn 2015, Spring 2016, Autumn 2016, Spring 2017, Autumn 2017, Spring 2018, Autumn 2018, Spring 2019.
  • Enrolment Statistics (Spring 2006, recent)
  • Permalink: https://is.muni.cz/course/fi/spring2006/MB101