Course: Mathematics I

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Course title Mathematics I
Course code KGI/4MAT1
Organizational form of instruction Lecture + Lesson
Level of course Bachelor
Year of study 1
Semester Winter
Number of ECTS credits 5
Language of instruction Czech
Status of course Compulsory
Form of instruction unspecified
Work placements unspecified
Recommended optional programme components None
Lecturer(s)
Course content
1. Scientifc language, basics of symbolic logic - statements. 2. Basics of symbolic logic - predicates. Basic knowledges about sets. 3. Relations, special relations. 4. Operations. Algebraic structures. Basic algebraic structures. 5. Vector spaces. Definition and basic properties of vector spaces. 6. Bases of vector spaces. Theorem of Steinitz. Vector spaces with scalar product. 7. Matrices . Definition and basic properties. 8. Matrices and systems of linear equations. Theorem of Frobenius. 9. Determinants. Definition and basic properties. 10. Determinants and systems of linear equations. Cramer's rule. 11. Other properties of matrices and determinants. 12. Basics of analytic geometry. Afinne space. 13. Basics of analytic geometry. Euclidean space. 14. Time reserve or optional topics.

Learning activities and teaching methods
unspecified
Recommended literature
  • Blažek J., Calda E., Koman M., Kussová B. Algebra a teoretická aritmetika I. díl. Praha, 1983.
  • Blažek V. Geometrie I, UJEP, Ústí n/L. 1993.
  • Blažek V. Geometrie II, skriptum, UJEP, Ústí n/L. 1994.
  • Budinský, B., Charvát, J. Matematika I, (část 1). Praha 6.
  • Charvát J., Hála M., Šibrava Z. Příklady k matematice I. Praha 6.
  • Jirásek, F., Kriegelstein, E., Tichý, Z. Sbírka řešených příkladů z matematiky I. Praha, 1979.
  • Rektorys K. Přehled užité matematiky. SNTL, Praha, 1981.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Environment Study plan (Version): Environmental Protection (C_4) Category: Ecology and environmental protection 1 Recommended year of study:1, Recommended semester: Winter