PřF:M1115 Linear Algebra I - Course Information
M1115 Linear Algebra and Geometry I
Faculty of ScienceSpring 2011
- 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)
- RNDr. Pavel Horák (lecturer)
Mgr. Zbyněk Vrba (seminar tutor) - Guaranteed by
- doc. RNDr. Eduard Fuchs, CSc.
Department of Mathematics and Statistics – Departments – Faculty of Science - Timetable
- Wed 13:00–14:50 M2,01021
- Timetable of Seminar Groups:
M1115/02: Thu 14:00–15:50 M5,01013, P. Horák - Prerequisites
- ! M1110 Linear Algebra I && ! M1111 Linear Algebra I
High School Mathematics - Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
- fields of study / plans the course is directly associated with
- Mathematics for Multi-Branches Study (programme PřF, B-MA)
- Mathematics with a view to Education (programme PřF, B-MA)
- 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/~horak
- Enrolment Statistics (Spring 2011, recent)
- Permalink: https://is.muni.cz/course/sci/spring2011/M1115