MB141 Linear algebra and discrete mathematics

Faculty of Informatics
Spring 2025
Extent and Intensity
2/2/0. 3 credit(s) (plus extra credits for completion). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
Mgr. David Kruml, Ph.D. (lecturer)
doc. RNDr. Martin Čadek, CSc. (seminar tutor)
doc. Mgr. Michal Kunc, Ph.D. (seminar tutor)
Jindřich Maňas (seminar tutor)
Mgr. Jan Procházka (seminar tutor)
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
Fri 21. 2. to Fri 16. 5. Fri 8:00–9:50 A,01026
  • Timetable of Seminar Groups:
MB141/01: Wed 19. 2. to Wed 14. 5. Wed 12:00–13:50 B204, D. Kruml
MB141/02: Wed 19. 2. to Wed 14. 5. Wed 14:00–15:50 B204, D. Kruml
MB141/03: Mon 17. 2. to Mon 12. 5. Mon 10:00–11:50 A320, M. Kunc
MB141/04: Mon 17. 2. to Mon 12. 5. Mon 12:00–13:50 A320, M. Kunc
MB141/05: Tue 18. 2. to Tue 13. 5. Tue 10:00–11:50 B204, M. Kunc
MB141/06: Wed 19. 2. to Wed 14. 5. Wed 12:00–13:50 A320, M. Čadek
MB141/07: Mon 17. 2. to Mon 12. 5. Mon 12:00–13:50 B204, J. Procházka
MB141/08: Mon 17. 2. to Mon 12. 5. Mon 14:00–15:50 B204, J. Procházka
MB141/09: Mon 17. 2. to Mon 12. 5. Mon 16:00–17:50 B204, J. Maňas
MB141/10: Mon 17. 2. to Mon 12. 5. Mon 18:00–19:50 B204, J. Maňas
Prerequisites
!NOW( MB151 Linear models ) && ( ! MB151 Linear models || ! MB154 Discrete mathematics )
MB141 is a lightweight version of MB151 and MB154, so it can be replaced by completing both full courses.
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
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
Teacher's information
https://is.muni.cz/auth/ucitel/?fakulta=1433;obdobi=7644
More information can be found in IS of the course.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/fi/spring2025/MB141