# FI:MB141 Linear alg. and discrete math - Course Information

## MB141 Linear algebra and discrete mathematics

**Faculty of Informatics**

Spring 2024

**Extent and Intensity**- 2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- Mgr. David Kruml, Ph.D. (lecturer)

doc. RNDr. Martin Čadek, CSc. (seminar tutor)

Mgr. Martin Doležal (seminar tutor)

Mgr. Matouš Trnka (seminar tutor)

Mgr. Petr Vlachopulos (seminar tutor)

Mgr. Jan Vondruška (seminar tutor)

doc. PaedDr. RNDr. Stanislav Katina, Ph.D. (assistant)

doc. Mgr. Jan Koláček, Ph.D. (assistant) **Guaranteed by**- Mgr. David Kruml, Ph.D.

Department of Mathematics and Statistics – Departments – Faculty of Science

Supplier department: Department of Mathematics and Statistics – Departments – Faculty of Science **Timetable**- Wed 8:00–9:50 D1
- Timetable of Seminar Groups:

*D. Kruml*

MB141/02: Thu 14:00–15:50 A320,*D. Kruml*

MB141/03: Thu 16:00–17:50 A320,*D. Kruml*

MB141/04: Tue 12:00–13:50 A320,*M. Čadek*

MB141/05: Tue 12:00–13:50 B204,*M. Doležal*

MB141/06: Thu 8:00–9:50 B204,*M. Doležal*

MB141/07: Mon 12:00–13:50 B204,*M. Trnka*

MB141/08: Mon 14:00–15:50 B204,*M. Trnka*

MB141/09: Mon 16:00–17:50 A320,*P. Vlachopulos*

MB141/10: Mon 18:00–19:50 A320,*P. Vlachopulos*

MB141/11: Mon 12:00–13:50 A320,*J. Vondruška*

MB141/12: Mon 14:00–15:50 A320,*J. Vondruška* **Prerequisites**(in Czech)- !NOW(
**MB151**Linear models ) && ( !**MB151**Linear models || !**MB154**Discrete mathematics ) && ( !**MB101**Mathematics I || !**MB104**Discrete 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**- there are 38 fields of study the course is directly associated with, display
**Course objectives**- Introduction to linear algebra, analytical geometry and elementary number theory.
**Learning outcomes**- At the end of this course, students should be able to: understand basic concepts of linear algebra; apply these concepts to iterated linear processes; solve basic problems in analytical geometry; apply elemntary number theory on kryptography.
**Syllabus**- Obsah kurzu Lineární:
- 1. Geometry in plane. Complex numbers. 2. Systems of linear equations. Gauss elimination. 3. Operation with matrices. Inverse matrix, determinent. 4. Vector spaces, báses, dimension, coordinates. 5. Linear mappings, eigenvalues and eigenvectors. 6. Afinne geometry. 7. Eukleidian geometr. 8. Elementry number theory. 9. Congruences. 10. Application in kryptography. 11. Linear processes. 12. Linear optimization.

**Literature**- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
*Matematika drsně a svižně (Brisk quide to mathematics)*. 2013. ISBN 978-80-210-6307-5. Available from: https://dx.doi.org/10.5817/CZ.MUNI.O210-6380-2013.*Základní učebnice matematiky pro vysokoškolské studium. Na MU využívána zejména jako podpora výuky matematiky na Fakultě informatiky.*info

*recommended literature*- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
**Teaching methods**- Lecture covering the theory with illustrative solved problems. Tutorials devoted to solving numerical problems.
**Assessment methods**- Examination is written. A student needs to attend at least 9 of 13/14 seminars and to achieve at least 40% points at the exam to pass the course.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials
**Listed among pre-requisites of other courses****MB143**Design and analysis of statistical experiments

(MB141 || MB142 || MB151 || MB152) && !MB153 && !NOW(MB153)**MB151**Linear models

!NOW(MB141)**PV275**Introduction to Quantum Computer Programming

( MB141 || MB151 || MB101 || MB201 ) && IB111

**Teacher's information**- https://is.muni.cz/auth/ucitel/?fakulta=1433;obdobi=7644

More information can be found in IS of the course.

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/fi/spring2024/MB141