M1115 Linear Algebra and Geometry I

Faculty of Science
Spring 2008 - for the purpose of the accreditation
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. Pavel Kříž, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Contact Person: RNDr. Pavel Horák
Prerequisites
! M1110 Linear algebra I && ! M1115 Linear Algebra 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
Course objectives
Linear algebra belongs to basic mathematical education. Passing the course, the 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. Operations with matrices. Gauss elimination. Vector subspaces. Linear independence. Basis and dimension. Coordinates. Linear maps. Matrices of linear maps. Systems of linear equations. Determinants Vector spaces with scalar product.
Literature
  • Horák P.: Lineární algebra, skripta PřF UJEP, Brno, 1975.
  • Anton H., Rorres.C.: Elementary Linear Agebra, 8th edition, Application Version, Wiley, 2000, ISBN 0471170526.
  • Slovák, Jan. Lineární algebra. Učební texty. Brno:~Masarykova univerzita, 1998. 138. elektronicky dostupné na http://www.math.muni.cz/~slovak.
  • Šmarda B.: Lineární algebra, skripta PřF UJEP, Brno, 1982.
  • Zlatoš P.: Lineárna algebra a geometria, připravovaná skripta MFF Univerzity Komenského v Bratislavě, elektronicky dostupné na http://www.math.muni.cz/pub/math/people/Paseka/lectures/LA/
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught: every week.
Teacher's information
http://www.math.muni.cz/~cadek
The course is also listed under the following terms Spring 2011 - only for the accreditation, Spring 2003, Spring 2004, Spring 2005, Spring 2006, Spring 2007, Spring 2008, 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.