Course: Introductory seminar in mathematics

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Course title Introductory seminar in mathematics
Course code KAG/MPSM
Organizational form of instruction Seminar
Level of course Bachelor
Year of study not specified
Semester Winter
Number of ECTS credits 2
Language of instruction Czech
Status of course Compulsory-optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Chodorová Marie, RNDr. Ph.D.
  • Vaněk Vladimír, Mgr. Ph.D.
Course content
1. Elements of propositional calculus (proposition, propositional connective, propositional calculus formula, the rules of logic, truth-tables). 2. Elements of predicate logic (propositional function, quantifiers, negation of propositional function with quantifiers). 3. Sets logic conception in mathematics. 4. Logic construction of mathematics (axiom, definition, proposition, proof). 5. Proofs of mathematics propositions. 6. Elements shapes of plane geometry (perimeters and areas planar shapes). 7. Elements shapes of solid geometry (circumference and capacity solids).

Learning activities and teaching methods
Monologic Lecture(Interpretation, Training), Demonstration
Learning outcomes
To deepen knowledges in school mathematics, especially functions, to master solving teh school tasks
2. Comprehension To deepen knowledges in school mathematics, especially functions, to master solving teh school tasks
Prerequisites
unspecified

Assessment methods and criteria
Didactic Test

Credit: active participation on seminars (70%),the student has to pass written tests (minimal achievement: 80%)
Recommended literature
  • učebnice pro střední školy nakladatelství Prométheus.
  • Gavalcová, T., Haviger, J., Pražák, P., Vaněk, V. (2007). Úvod do matematiky. Gaudeamus Hradec Králové.
  • Petáková, J. (1998). Matematika příprava k maturitě a k přijímacím zkouškám na vysoké školy. Prometheus.
  • Polák, J. (2000). Přehled středoškolské matematiky. Praha, Prométheus.
  • Vaněk Vladimír, Smetanová Dana. Matematika 1.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester
Faculty: Faculty of Science Study plan (Version): Mathematics for Education (2023) Category: Mathematics courses 1 Recommended year of study:1, Recommended semester: Winter