M1111 Linear Algebra and Geometry I

Faculty of Science
autumn 2017
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. Lukáš Vokřínek, PhD. (lecturer)
doc. RNDr. Jiří Kaďourek, CSc. (seminar tutor)
Mgr. Martin Panák, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Martin Čadek, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science
Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science
Timetable
Mon 18. 9. to Fri 15. 12. Wed 14:00–15:50 A,01026
  • Timetable of Seminar Groups:
M1111/01: Mon 18. 9. to Fri 15. 12. Tue 12:00–13:50 M1,01017, J. Kaďourek
M1111/02: Mon 18. 9. to Fri 15. 12. Tue 9:00–10:50 M2,01021, J. Kaďourek
M1111/03: Mon 18. 9. to Fri 15. 12. Thu 8:00–9:50 M4,01024, M. Čadek, M. Panák
Prerequisites
! OBOR ( OM ) && ! OBOR ( STAT ) && ! OBOR ( UM )
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.
Learning outcomes
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, exercises (tutorials) and homework.
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
https://is.muni.cz/el/1431/podzim2012/M1111/index.qwarp
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 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018.
  • Enrolment Statistics (autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/sci/autumn2017/M1111