# 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).

Taught in person. **Teacher(s)**- Mgr. David Kruml, Ph.D. (lecturer)

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

Mgr. Martin Doležal (seminar tutor)

Mgr. Petr Liczman (seminar tutor)

Mgr. Miloslav Štěpán (seminar tutor)

Mgr. Dominik Trnka (seminar tutor)

doc. Lukáš Vokřínek, PhD. (seminar tutor) **Guaranteed by**- prof. RNDr. Jan Slovák, DrSc.

Department of Computer Science - Faculty of Informatics

Supplier department: Department of Mathematics and Statistics - Departments - Faculty of Science **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. Linear processes. 7. Afinne geometry. 8. Scalar product. 9. Eukleidian geometry. 10. Elementry number theory. 11. Congruences. 12. Application in kryptography.

**Literature**- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
*Matematika drsně a svižně (Brisk quide to mathematics)*. 2013. ISBN 978-80-210-6307-5. doi: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**- In the course of the term 10 tests via IS. In the half of the term one midterm written exam and another written exam in the examination period. Students have to fulfill: 1. To take part in 9 tutorials from 13/14. 2. From 10 test to get at least a half of point in 7 tests. 3. To obtain at least 12 points from two written exams from maximal 30 points. Evaluation F one of demands 1,2,3 not satisfied E 12 to 15 points D 15,5 to 18,5 C 19 to 22 B 22,5 to 25,5 A 26 to 30
**Language of instruction**- Czech
**Listed among pre-requisites of other courses****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 (Spring 2024, recent)
- Permalink: https://is.muni.cz/course/fi/spring2024/MB141