MB101 Mathematics I

Faculty of Informatics
Spring 2013
Extent and Intensity
2/2. 4 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
Teacher(s)
doc. Mgr. Ondřej Klíma, Ph.D. (lecturer)
Mgr. David Klaška (seminar tutor)
Mgr. David Kruml, Ph.D. (seminar tutor)
RNDr. Jan Vondra, Ph.D. (seminar tutor)
doc. Mgr. Josef Šilhan, Ph.D. (assistant)
Guaranteed by
prof. RNDr. Jan Slovák, DrSc.
Faculty of Informatics
Supplier department: Faculty of Science
Timetable
Thu 10:00–11:50 D1
  • Timetable of Seminar Groups:
MB101/01: Thu 12:00–13:50 G125, O. Klíma
MB101/02: Mon 8:00–9:50 G125, D. Kruml
MB101/03: Mon 10:00–11:50 G125, D. Kruml
MB101/04: Fri 12:00–13:50 G124, D. Klaška
MB101/05: Fri 14:00–15:50 G124, D. Klaška
Prerequisites
! MB005 Foundations of mathematics &&! NOW ( MB005 Foundations of mathematics )
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.
The capacity limit for the course is 320 student(s).
Current registration and enrolment status: enrolled: 0/320, only registered: 0/320, only registered with preference (fields directly associated with the programme): 0/320
Fields of study the course is directly associated with
there are 16 fields of study the course is directly associated with, display
Course objectives
The course is the first part of the four semester block of Mathematics. In the entire course, the fundamentals of general algebra and number theory, linear algebra, mathematical analysis, numerical methods, combinatorics, as well as probability and statistics are presented. Passing this four semester course will allow the student to deal with basic mathematical concepts and problems and he/she will master the discrete and continuous intuition necessary for the mathematical formulation of real problems. The first part of the course, in particular, aims at the principles of mathematics, linear algebra, elementary geometry and some explicit applications.
Syllabus
  • 1. Warm up (4 weeks) -- scalars, scalar functions, combinatorial examples and identities, finite probability, geometric probability, geometry of the plane, relations and mappings, eqivalences nad orderings.
  • 2. Vectors and matrices (3 weeks) -- vectors, vector space, linear independence, basis, linear mappings, matrices, matrix calculus and determinants, orthogonality, eigenvalues and eigenvectors.
  • 3. Linear models (3 weeks) -- systems of linear (in)equalities, linear programming problem, linear difference equations, iterated processes (population models) and Markov chains.
  • $. Analytical geometry (2 weeks) -- geometrical applications: line, plane, parametric versus non-paramteric descriptions, positioning of planes and lines, projective space extension, angle, length, volume, elementary classification of quadrics.
Literature
  • MOTL, Luboš and Miloš ZAHRADNÍK. Pěstujeme lineární algebru. 3. vyd. Praha: Univerzita Karlova v Praze, nakladatelství Karolinum, 2002. 348 s. ISBN 8024604213. info
  • FUCHS, Eduard. Logika a teorie množin (Úvod do oboru). 1. vyd. Brno: Rektorát UJEP, 1978. 175 s. 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
  • 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!
Teaching methods
Lecture covering the theory with illustrative solved problems. Seminar groups devoted to solving numerical problems.
Assessment methods
Two hours of lectures, two hours of tutorial. Final written test as examination. Results of tutorials/homeworks are partially reflected in the assessment.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Information on course enrolment limitations: Přednostně určen pro neúspěšné z podzimu 2006
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Spring 2006, 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, 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 2013, recent)
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