Course: Introduction to Mathematics

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Course title Introduction to Mathematics
Course code AUM/TK1RM
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 unspecified
Form of instruction Face-to-face
Work placements This is not an internship
Recommended optional programme components None
Lecturer(s)
  • Pátíková Zuzana, doc. Mgr. Ph.D.
  • Martinek Pavel, Ing. Ph.D.
Course content
unspecified

Learning activities and teaching methods
Lecturing, Methods for working with texts (Textbook, book), Projection (static, dynamic), Practice exercises
learning outcomes
Knowledge
Memorize the formulas for the discriminant and the solution of the quadratic equation.
Memorize the formulas for the discriminant and the solution of the quadratic equation.
Define the values of trigonometric functions on the angles of a right triangle.
Define the values of trigonometric functions on the angles of a right triangle.
Skills
Sketch the graph of the quadratic function in the basic form and after transformations of the vertex equation.
Sketch the graph of the quadratic function in the basic form and after transformations of the vertex equation.
Solve quadratic equations by taking out or through the discriminant, quadratic inequalities by the method of zero points.
Solve quadratic equations by taking out or through the discriminant, quadratic inequalities by the method of zero points.
Sketch the graphs of exponential and logarithmic functions.
Sketch the graphs of exponential and logarithmic functions.
Use basic adjustments when working with exponentials and logarithms.
Use basic adjustments when working with exponentials and logarithms.
Sketch the graphs of trigonometric functions.
Sketch the graphs of trigonometric functions.
Calculate the values of trigonometric functions on a calculator.
Calculate the values of trigonometric functions on a calculator.
teaching methods
Knowledge
Practice exercises
Practice exercises
assessment methods
Written examination
Written examination
Recommended literature
  • Sbírka úloh z matematiky pro SOŠ, SOU a nástavbové studium. 2. vyd. Praha : Prometheus, 2005. ISBN 8071963186.
  • Janeček, F. Sbírka úloh pro SŠ - Výrazy, rovnice, nerovnice a jejich soustavy. Praha: Prometheus, 2010. ISBN 9788071963608.
  • Josef Polák. Přehled středoškolské matematiky. PROMETHEUS, spol. s r.o., 2015. ISBN 978-80-7196-458-2.
  • Petáková, Jindra. Matematika : příprava k maturitě a k přijímacím zkouškám na vysoké školy. 1. vyd. Praha : Prometheus, 1998. ISBN 8071960993.


Study plans that include the course
Faculty Study plan (Version) Category of Branch/Specialization Recommended year of study Recommended semester