UBOK_0022 Selected Topics of Mathematics

Faculty of Education
Autumn 2017
Extent and Intensity
0/0. 2 credit(s). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Petr Sládek, CSc. (lecturer)
Guaranteed by
doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Jana Jachymiáková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education
Course Enrolment Limitations
The course is only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
The aim of this subject is to repeat the selected basic mathematics curriculum of high school level that will be applied in next semesters during the teaching of professional subjects.
Syllabus
  • 1. Editing expressions (fractional expressions, expressions with powers and roots.
  • 2. Equations and inequalities and their systems (linear, with unknown in the denominator, quadratic, irrational).
  • 3. Exponential and logarithmic equations.
  • 4. Trigonometric equation.
  • 5. Functions (basic knowledge of the functions, a linear function, with absolute values​​, quadratic, power, fractional linear, exponential, logarithmic and trigonometric functions).
  • 6. Sequences and series (arithmetic and geometric sequence, limit of infinite sequences and series and its sum).
  • 7. Vectors, addition and multiplication of vectors, scalar product of vectors, vector and point coordinates in the plane and space.
  • 8. Parametric expression of lines and planes, the general equations of lines and planes, the relative position of lines and planes.
  • 9. Derivative and its applications.
  • 10. Indefinite integral, definite integral and their applications.
Literature
  • Delventhal, K., M., Kissner, A., Kulick, M. Kompendium matematiky. Praha: Euromedia Group k. s., 2003.
  • DELVENTHAL, Katka Maria, Alfred KISSNER and Malte KULICK. Kompendium matematiky : vzorce a pravidla : četné příklady včetně řešení : od základních operací po vyšší matematiku. Translated by Jiří Henzler. V Praze: Knižní klub, 2004, 714 s. ISBN 8024212277. info
  • POLÁK, Josef. Přehled středoškolské matematiky. 9. vyd. Praha: Prometheus, 2008, 659 s. ISBN 9788071963561. info
  • SLÁDEK, Petr and Václav VACEK. Matematika pro fyziky I a II. Elportál. Brno: Masarykova univerzita, 2009. ISSN 1802-128X. URL info
Teaching methods
lecture
Assessment methods
calculate a set of examples, final test, colloquium
Language of instruction
Czech
Further comments (probably available only in Czech)
The course is taught annually.
Information on the extent and intensity of the course: 9 hodin.
The course is also listed under the following terms Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018.
  • Enrolment Statistics (Autumn 2017, recent)
  • Permalink: https://is.muni.cz/course/ped/autumn2017/UBOK_0022