M1115 Linear Algebra and Geometry 1

Faculty of Science
Spring 2008
Extent and Intensity
2/2/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
RNDr. Pavel Horák (lecturer)
RNDr. Marika Kafková, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Thu 14:00–15:50 N21
  • Timetable of Seminar Groups:
M1115/01: Thu 8:00–9:50 U1, P. Horák
M1115/02: Thu 10:00–11:50 U1, P. Horák
M1115/03: Fri 10:00–11:50 U1, P. Horák
M1115/04: Thu 8:00–9:50 UM, M. Kafková
Prerequisites
! M1110 Linear Algebra I && ! M1115 Linear Algebra and Geom. 1
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
Course objectives
Linear algebra belongs to basic mathematical education. Passing the course, students should understand basic notions concerning vector spaces and linear maps and simultaneously they should have good computational skills with matrices and systems of linear equations.
Syllabus
  • Vector spaces, linear dependence/independence, basis and dimension. Matrices, determinants, matrix algebra, rank of a matrix. Systems of linear equations, homogeneous systems of linear equations. Euclidean vector spaces. Linear maps, linear transformations, orthogonal maps.
Literature
  • Horák, Pavel. Lineární algebra a geometrie 1, učební text, 2008, http://www.math.muni.cz/~horak/
  • HORÁK, Pavel. Cvičení z algebry a teoretické aritmetiky. 3. vyd. Brno: Masarykova univerzita, 2006, 221 s. ISBN 8021039701. info
  • BEČVÁŘ, Jindřich. Lineární algebra (Linear Algebra). Praha: MATFYZPRESS, 2000, 435 pp. ISBN 80-85863-61-8. info
  • Exercises in algebra : a collection of exercises in algebra, linear algebra and geometry. Edited by Aleksej Ivanovič Kostrikin. Luxembourg: Gordon and Breach Publishers, 1996, xii, 464. ISBN 2884490302. info
Language of instruction
Czech
Further Comments
The course is taught annually.
Teacher's information
http://www.math.muni.cz/~horak
The course is also listed under the following terms Spring 2008 - for the purpose of the accreditation, Spring 2011 - only for the accreditation, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2008, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2008/M1115