M1115 Linear Algebra and Geometry I

Faculty of Science
Spring 2016
Extent and Intensity
2/2/0. 3 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: zk (examination).
Teacher(s)
prof. RNDr. Josef Janyška, DSc. (lecturer)
Mgr. Petr Liška, Ph.D. (seminar tutor)
Guaranteed by
prof. RNDr. Josef Janyška, DSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Thu 8:00–9:50 M1,01017
  • Timetable of Seminar Groups:
M1115/01: Wed 16:00–17:50 M5,01013, P. Liška
M1115/02: Wed 18:00–19:50 M5,01013, P. Liška
Prerequisites
!OBOR(OM) && !OBOR(STAT) && !OBOR(FINPOJ) && !OBOR(AMV) && !OBOR(MOD)
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, subspaces. Linear span, intersection and sum of subspaces. Linear dependance and independance of vectors. Basis and dimension of a vector space. Matrices and determinants. Systems of linear equations. Euclidean vector spaces. Linear maps of vector spaces. Linear transformations and their matrices. Orthogonal mappings, orthogonal matrices.
Literature
  • Horák, Pavel. Lineární algebra a geometrie 1. Učební text. Jarní semestr 2009
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. 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. Camberwell: Gordon and Breach Publishers, 1996, xii, 464 s. ISBN 2-88449-029-9. info
Teaching methods
Lectures: theoretical explanations with practical applications. Exercises: solving problems focused on basic concepts and theorems, individual problem solving by students.
Assessment methods
Teaching: lectures, consultative exercises. Exam: written and oral. Current requirements: Written tests in exercises. Student's presence in exercises is obligatory.
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
Teacher's information
http://www.math.muni.cz/~janyska
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 2008, Spring 2009, Spring 2010, Spring 2011, Spring 2012, spring 2012 - acreditation, Spring 2013, Spring 2014, Spring 2015, Spring 2017, spring 2018, Spring 2019.
  • Enrolment Statistics (Spring 2016, recent)
  • Permalink: https://is.muni.cz/course/sci/spring2016/M1115