M1110 Linear Algebra and Geometry I

Faculty of Science
Autumn 2011
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)
prof. RNDr. Jan Paseka, CSc. (lecturer)
Mgr. Jiří Janda, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Fri 13:00–14:50 M1,01017
  • Timetable of Seminar Groups:
M1110/01: Fri 15:00–16:50 M1,01017, J. Paseka
M1110/02: Thu 18:00–19:50 M2,01021, J. Janda
Prerequisites
! M1115 Linear Algebra I && ! M1111 Linear Algebra I && !NOW( M1111 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
Abstract
Linear algebra belongs to the fundamentals of mathematical education. Passing the course, the students should master the basic notions concerning vector spaces and linear maps and, furthermore, they should gain good computational skills with matrices and systems of linear equations.
Key topics
  • Vector spaces.
  • Operations with matrices.
  • Gauss elimination.
  • Vector subspaces.
  • Linear independence.
  • Basis and dimension.
  • Coordinates.
  • Linear maps.
  • Matrices of linear maps.
  • Affine subspaces.
  • Systems of linear equations.
  • Determinants
  • Vector spaces with scalar product.
Study resources and literature
  • Zlatoš P.: Lineárna algebra a geometria, připravovaná skripta MFF Univerzity Komenského v~Bratislavě, elektronicky dostupné na http://thales.doa.fmph.uniba.sk/katc/
  • HORÁK, Pavel. Úvod do lineární algebry. 3. vyd. Brno: Rektorát UJEP Brno, 1980, 135 s. info
  • Anton H., Rorres.C.: Elementary Linear Agebra, 8th edition, Application Version, Wiley, 2000, ISBN 0471170526.
  • ŠMARDA, Bohumil. Lineární algebra. Praha: Státní pedagogické nakladatelství, 1985, 159 s. info
  • ŠIK, František. Lineární algebra zaměřená na numerickou analýzu. Vydání první. Brno: Masarykova univerzita v Brně, 1998, 177 stran. ISBN 8021019662. info
  • Slovák, Jan. Lineární algebra. Učební texty. Brno:~Masarykova univerzita, 1998. 138. elektronicky dostupné na http://www.math.muni.cz/~slovak.
  • HORÁK, Pavel. Algebra a teoretická aritmetika. 2. vyd. Brno: Rektorát Masarykovy univerzity, 1991, 196 s. ISBN 8021003200. info
Approaches, practices, and methods used in teaching
Lectures: theoretical explanation with practical examples. Exercises: solving problems for understanding of basic concepts and theorems, contains also more complex problems, homeworks. Students will be asked to have an active participation at seminars or to obtain 40 % of possible points from two written tests.
Method of verifying learning outcomes and course completion requirements
Lecture 2 hours a week, seminar 2 hours a week. Examination written and oral.
Language of instruction
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
Listed among pre-requisites of other courses
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 1999, Autumn 2010 - only for the accreditation, Autumn 2000, Autumn 2001, Autumn 2002, Autumn 2003, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018, Autumn 2019, Autumn 2020, autumn 2021, Autumn 2022, Autumn 2023, Autumn 2024, Autumn 2025, Autumn 2026.
  • Enrolment Statistics (Autumn 2011, recent)
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