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

## MB141 Linear algebra and discrete mathematics

**Faculty of Informatics**

Spring 2020

**Extent and Intensity**- 2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
**Teacher(s)**- doc. RNDr. Martin Čadek, CSc. (lecturer)

Mgr. David Kruml, Ph.D. (seminar tutor)

Mgr. Mária Šimková (seminar tutor)

doc. Mgr. Ondřej Klíma, Ph.D. (assistant)

Mgr. Lenka Zalabová, Ph.D. (assistant) **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 **Timetable**- Mon 17. 2. to Fri 15. 5. Mon 10:00–11:50 D1
- Timetable of Seminar Groups:

*M. Čadek*

MB141/02: Mon 17. 2. to Fri 15. 5. Wed 12:00–13:50 B204,*D. Kruml*

MB141/03: Mon 17. 2. to Fri 15. 5. Wed 14:00–15:50 B204,*D. Kruml*

MB141/04: Mon 17. 2. to Fri 15. 5. Mon 16:00–17:50 B204,*M. Šimková* **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 37 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, Eukleidian geometry. 9. Linear optimization. 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

- PANÁK, Martin, Jan SLOVÁK and Michal BULANT.
**Teaching methods**- Two hours of lectures, two hours of tutorial. Lecture covering the theory with illustrative solved problems. Tutorials devoted to solving numerical problems.
**Assessment methods**- During the semester, two obligatory mid-term exams are evaluated (each for max 10 points). In the seminar groups there are 5 tests during the semester. The seminars are evaluated in total by max 5 points. Students, who collect during the semester (i.e., from tests and mid-term exams) less than 8 points, are graded as F and they can proceed to the final examination only for correction. The final exam is two hours long and written for max 20 points. For successful examination (the grade at least E) the student needs in total at keast 22 points and at least 5 point from the final exam.
**Language of instruction**- Czech
**Further comments (probably available only in Czech)**- Study Materials
**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 (recent)

- Permalink: https://is.muni.cz/course/fi/spring2020/MB141