MA0011 Algebra 3

Faculty of Education
Spring 2024
Extent and Intensity
0/2/0. 3 credit(s). Type of Completion: k (colloquium).
Taught in person.
Teacher(s)
RNDr. Břetislav Fajmon, Ph.D. (lecturer)
RNDr. Břetislav Fajmon, Ph.D. (seminar tutor)
Guaranteed by
doc. RNDr. Jaroslav Beránek, CSc.
Department of Mathematics – Faculty of Education
Supplier department: Department of Mathematics – Faculty of Education
Timetable of Seminar Groups
MA0011/01: Mon 12:00–13:50 učebna 37, B. Fajmon
MA0011/02: Wed 8:00–9:50 učebna 50, B. Fajmon
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
Course objectives
The course is aimed at deepening algebraic knowledge of concepts introduced in subjects Discrete mathematics, algebra 1, algebra 2. The emphasis is put on lattice theory and Boolean algebras.
Learning outcomes
After the course the students will know more about the following topics: 1. Logics, sets, relations: review. 2. Algebraic operations, polynoms: review. 3. Linear algebra: review. 4. Peano set and its properties. 5. Numerical systems Z, Q, R, C. 6. Boole algebra.
Syllabus
  • The course is built on the review of questions for the state exam, part algebra:
  • 1. logics, sets, binary relations.
  • 2. Algebraic structures with one or two binary operations. Polynomials.
  • 3. Vector spaces, linear mapping, matrices, determinants, systems of linear equations.
  • 4. Peano set and its axioms.
  • 5. Construction of numerical systems Z, Q, R, C.
  • 6. Boole algebra.
Literature
    recommended literature
  • KOPKA, Jan. Svazy a booleovy algebry. Ústí nad Labem, 1991, 243 s. ISBN 80-7044-025-2. info
Teaching methods
Seminar with active participation of the students.
Assessment methods
The study will be finished with a written test, students are required to complete 70 per cent or more of the tasks. The test will take place in the 7th, 8th, 9th week of the long semestr (in the 1st, 2nd, 3rd week of the exam period of the short semestr). At the end of the 9th week (at the end of the third week of the exam period) all students will be classified for the
Language of instruction
Czech
Further Comments
Study Materials
The course is taught annually.
The course is also listed under the following terms Spring 2019, Autumn 2019, Spring 2020, Spring 2021, Spring 2022, Spring 2023, Spring 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/ped/spring2024/MA0011