PřF:M1110 Linear Algebra I - Course Information
M1110 Linear Algebra and Geometry I
Faculty of ScienceAutumn 2015
- 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. David Kruml, Ph.D. (assistant) - 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
- Fri 10:00–11:50 M1,01017
- Timetable of Seminar Groups:
- Prerequisites
- !OBOR(AMV) && !OBOR(FINPOJ) && !OBOR(BIMAT) && !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
- Mathematics (programme PřF, B-MA)
- Statistics and Data Analysis (programme PřF, B-MA)
- Course objectives
- 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.
- Syllabus
- 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.
- 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. Vyd. 1. Brno: Masarykova univerzita v Brně, 1998, 177 s. 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
- Teaching methods
- Lectures: theoretical explanation with practical examples. Exercises: solving problems for understanding basic concepts and theorems, contains also more complex problems, homework. Students will be asked to have an active participation at seminars or to obtain 40 % of possible points from two written tests (8 from 20).
- Assessment methods
- Lecture 2 hours a week, seminar 2 hours a week. Examination written and oral. To access the examination one has to pass exercises. The examination has 3 parts. 1. part: During the semester, two obligatory mid-term exams are evaluated (each for max 10 points, 50 minutes long). Student may collect during the semester maximally 20 points. 2. part: If the student is able to pass exercises he may proceed to the final examination. This examination starts with a written exam that consists of 2 parts - theoretical (20 points) and practical (30 points). 3. part: Oral examination (30 points). Requirements: to manage the theory from the lecture, to be able to solve the problems similar to those from exercises. Evaluation (points <= 49 - F, 49 < points <= 59 - E, 59 < points <= 69 - D, 69 < points <= 79 - C, 79 < points <= 89 - B, 89 < points <= 100 - A).
- 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
- M2110 Linear Algebra and Geometry II
M1110||M1111||(FI:MB003) - M2110B Linear Algebra and Geometry II
M1110||M1111||(FI:MB003) - M7190 Game Theory
M1110 || M1111 || FI:MB101 || FI:MB201 || FI:MB003 - FI:MB153 Statistics I
(MB151 || MB152 || PřF:M1110 || PřF:M1100) && !NOW(MB143) - FI:MB154 Discrete mathematics
MB151 || MB152 || PřF:M1110 || PřF:M1100
- M2110 Linear Algebra and Geometry II
- Enrolment Statistics (Autumn 2015, recent)
- Permalink: https://is.muni.cz/course/sci/autumn2015/M1110