M1111 Linear Algebra and Geometry I

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
2/2/0. 4 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Martin Čadek, CSc. (lecturer)
doc. RNDr. Jiří Kaďourek, CSc. (seminar tutor)
RNDr. Mgr. Miroslav Korbelář, Ph.D. (seminar tutor)
doc. Mgr. Josef Šilhan, Ph.D. (seminar tutor)
doc. Lukáš Vokřínek, PhD. (seminar tutor)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
! M1115 Linear Algebra I && ! M1110 Linear Algebra I && !NOW( M1110 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 the fundamentals of mathematical education. Passing the course, *the students will master the basic notions concerning vector spaces and linear maps, *they will be able to use the notions from linear algebra in their further study, *they will gain 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 Affine subspaces
Literature
  • Anton H., Rorres.C.: Elementary Linear Agebra, 8th edition, Application Version, Wiley, 2000, ISBN 0471170526.
  • Horák, P.: Lineární algebra a geometrie 1, učební text, http://www.math.muni.cz/~horak/08j_LA_skripta.pdf
  • Zlatoš P.: Lineárna algebra a geometria, připravovaná skripta MFF Univerzity Komenského v Bratislavě, elektronicky dostupné na ftp://www.math.muni.cz/pub/math/people/Paseka/lectures/LAI
Teaching methods
Lectures and exercises (tutorials)
Assessment methods
Short written tests during semester. Exam: written and oral. Requirements: to manage the theory from the lecture, to be able to solve the problems similar to those from exercises
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
The course is taught annually.
The course is taught: every week.
Listed among pre-requisites of other courses
Teacher's information
http://www.math.muni.cz/~cadek/la1.html
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.