M1111 Linear Algebra and Geometry I

Faculty of Science
Autumn 2009
Extent and Intensity
2/2/0. 4 credit(s) (fasci plus compl plus > 4). Type of Completion: zk (examination).
Teacher(s)
doc. RNDr. Martin Čadek, CSc. (lecturer)
Mgr. Jan Gregorovič, Ph.D. (seminar tutor)
doc. RNDr. Jiří Kaďourek, CSc. (seminar tutor)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Tue 16:00–17:50 A,01026
  • Timetable of Seminar Groups:
M1111/01: Wed 18:00–19:50 M4,01024, J. Gregorovič
M1111/02: Wed 16:00–17:50 M1,01017, J. Gregorovič
M1111/03: Mon 16:00–17:50 M1,01017, M. Čadek
M1111/04: Tue 8:00–9:50 M4,01024, J. Kaďourek
M1111/05: Mon 8:00–9:50 M5,01013, J. Kaďourek
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)
Study Materials
The course is taught annually.
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 2010 - only for the accreditation, Autumn 2007, Autumn 2008, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, autumn 2017, Autumn 2018.
  • Enrolment Statistics (Autumn 2009, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2009/M1111