Course: Proseminar on Mathematics

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Course title Proseminar on Mathematics
Course code KMA/MPS
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, Optional
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
  • Andrášik Richard, Mgr.
  • Kmec Jakub, Mgr.
  • Kouřilová Pavla, Mgr. Ph.D.
  • Jandová Věra, Mgr.
  • Gardlo Alžběta, Mgr. Ph.D.
  • Talášek Tomáš, Mgr.
  • Burián Jan, Mgr.
  • Rotterová Pavla, Mgr.
Course content
1. Simplifying algebraic expressions. 2. Quadratic equation, calculations with polynomials. 3. Powers and roots, fractional and negative exponents. 4. Functions. Rational functions. 5. Linear equations, equations with the unknown in denominator. 6. Equations with the unknown under the n-th root. 7. Equations with absolute values. 8. Linear and quadratic inequalities. 9. Exponential functions - graph and important points. 10. Logarithmic functions - graph, important points, the principle of a logarithm. 11. Goniometric functions - graph, important points, unit circle, basic goniometric formulas.

Learning activities and teaching methods
Lecture, Dialogic Lecture (Discussion, Dialog, Brainstorming)
  • Attendace - 26 hours per semester
  • Homework for Teaching - 25 hours per semester
  • Preparation for the Course Credit - 10 hours per semester
Learning outcomes
To practise their mathematical knowledge from high school.
Ability to work with algebraic expressions and solve equations and inequations.
No prerequisities.

Assessment methods and criteria
Written exam

The student has to pass written test (i.e. to obtain at least 80% of all possible points).
Recommended literature
  • Další SŠ sbírky k maturitě a přijímacím zkouškám na VŠ.
  • J. Polák. SŠ matematika v úlohách I, II.

Study plans that include the course
Faculty Study plan (Version) Branch of study Category Recommended year of study Recommended semester
Faculty of Science Mathematics and Applications (1) Mathematics courses 1 Winter
Faculty of Science Mathematics-Economics of Banking / Insurance Systems (1) Mathematics courses 1 Winter
Faculty of Science Applied Statistics (2015) Mathematics courses 1 Winter