PdF:UPV_0007 Repetitorium of mathematics - Course Information
UPV_0007 Repetitorium of mathematics
Faculty of EducationAutumn 2014
- Extent and Intensity
- 2/0/0. 2 credit(s). Type of Completion: k (colloquium).
- Teacher(s)
- Mgr. Ivana Medková, Ph.D. (lecturer)
Mgr. Renáta Bednárová (lecturer)
doc. RNDr. Petr Sládek, CSc. (lecturer)
PhDr. Mgr. Michaela Drexler (seminar tutor) - Guaranteed by
- doc. RNDr. Petr Sládek, CSc.
Department of Physics, Chemistry and Vocational Education – Faculty of Education
Contact Person: Mgr. Bc. Lucie Viková
Supplier department: Department of Physics, Chemistry and Vocational Education – Faculty of Education - Timetable
- Wed 14:50–16:30 učebna 35
- Course Enrolment Limitations
- The course is also offered to the students of the fields other than those the course is directly associated with.
- fields of study / plans the course is directly associated with
- Teacher Education - Vocational Training (programme PdF, B-SPE)
- 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
- final test, colloquium
- Language of instruction
- Czech
- Follow-Up Courses
- Further comments (probably available only in Czech)
- Study Materials
The course is taught annually.
- Enrolment Statistics (Autumn 2014, recent)
- Permalink: https://is.muni.cz/course/ped/autumn2014/UPV_0007