## 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
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.
The course is also listed under the following terms Spring 2020, Spring 2021, Spring 2022, Spring 2023.
• Enrolment Statistics (Spring 2024, recent)