Course: Seminar on state exams in mathematics I

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Course title Seminar on state exams in mathematics I
Course code KMA/SZM1
Organizational form of instruction Lesson
Level of course Bachelor
Year of study 3
Semester Winter and summer
Number of ECTS credits 3
Language of instruction Czech
Status of course Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Pech Pavel, prof. RNDr. CSc.
  • Tlustý Pavel, prof. RNDr. CSc.
  • Petrášková Vladimíra, doc. RNDr. Ph.D.
  • Hašek Roman, Mgr. Ph.D.
Course content
1. Function and its characteristics. 2. Limit of a function. 3. Derivative. 4. Integrals. 5. Functions of 2 and 3 variables. 6. Sequences and series. 7. Relations, operations, algebraic structures. 8. Number sets. Divisibility in integer domain. 9. Matrices and determinants. Systems of linear equations. 10. Vector spaces. Inner, cross and outer product of vectors. 11. Relative positions of affine subspaces. 12. Distances and deviations between subspaces. 13. Conics. 14. Quadric surfaces.

Learning activities and teaching methods
Monologic (reading, lecture, briefing), Skills training
Learning outcomes
The goal of the seminar is to deepen the knowledge of university mathematics (calculus, linear algebra, geometry), and to add some exacting passages and applications.).
The student will manage well the university mathematics.
Prerequisites
None

Assessment methods and criteria
Student performance assessment

active classwork, homework
Recommended literature
  • různá skripta a vysokoškolské učebnice.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: -
Faculty: Faculty of Education Study plan (Version): Introductory teacher training course in mathematics (3) Category: Pedagogy, teacher training and social care 3 Recommended year of study:3, Recommended semester: -