PdF:UPVK_0007 Mathematical Repetitorium - Course Information

UPVK_0007 Mathematical Repetitorium

Extent and Intensity

0/0/1.3. 4 credit(s). Type of Completion: k (colloquium).

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

• Additional pedagogical studies for teachers of specialized subjects at secondary schools (programme PdF, C-CV)
• DPS Teacher of Specialized Subjects at Secondary Schools (programme PdF, C-CV)
• Teacher Education - Vocational Training and Practice (programme PdF, C-CV)
• Studium pro pracovníky v dopravní výchově a státní správě pro dopravu (programme PdF, C-CV)
• Teacher Training of Specialized Subjects (programme PdF, C-CV)
• Teacher Education - Vocational Training (programme PdF, B-SPE) (3)
• Vocational Training Teacher Education (programme PdF, C-CV)
• Teacher Education - Vocational Training and Practice - Specialization: Traffic Education (programme PdF, C-CV)
• Teacher Education - Vocational Training and Practice - Specialization: Business and Services (programme PdF, C-CV)
• Teacher Education - Vocational Training and Practice - Specialization: Technical Branches (programme PdF, C-CV)
• Teacher Education - Vocational Training and Practice - Specialization: Health Care (programme PdF, C-CV)

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.
The course is taught: in blocks.
Information on the extent and intensity of the course: 15 hodin.

• Enrolment Statistics (recent)
  
• Permalink: https://is.muni.cz/course/ped/autumn2018/UPVK_0007