Study programmes / B-HE Horticultural Engineering / Principles of Higher Mathematics (p/t)
Course code:KZVMT
Course title in language of instruction:K-Základy vyšší matematiky
Course title in Czech:K-Základy vyšší matematiky
Course title in English:Principles of Higher Mathematics (p/t)
Mode of completion and number of credits:Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:part-time, 14/10
(part-time, lectures per period / seminars per period)
Language of instruction:Czech
Level of course:bachelor
Semester:WS 2017/2018 - FH
Name of lecturer:Mgr. Roman Pavlačka, Ph.D. (examiner, instructor, lecturer, supervisor, tutor)
Aims of the course:Acquiring the desired level of mathematical knowledge and skills and logical thinking. Acquiring the necessary mathematical tools for describing and solving real situation models. Acquisition of mathematical skills needed for applications in professional subjects and the ability to seek additional information from the literature.
Course contents:
1.Differential calculus. (allowance 6/3)
a.Elementary functions of one variable and their graphs.
b.Limit and continuity.
c.Derivatives, rules for differentiation, higher-order derivatives.
d.Extrema, concavity and inflection points, asymptotes, applications

2.Linear algebra. (allowance 3/3)
b.Matrices and determinants.
c.Systems of linear equations.

3.Integral calculus. (allowance 3/3)
a.Techniques of integration.
b.Definite integral.
c.Geometrical applications.

4.Numerical methods. (allowance 2/1)
a.Solutions of algebraic equations
b.Function approximation.

Learning outcomes and competences:
Generic competences:
-ability to analyse and synthesize
-ability to apply knowledge
-ability to solve problems
-ability to work independently
-basic computing skills
-capacity to learn
-general knowledge
-skilled at utilizing and processing information

Specific competences:
-Ability of critical evaluation, understandable and objective argumentation in mathematical problems solving
-Analysing and resolution of technical problems
-Asquiring of mathematical knowledge required for mathematical models creation of real situations
-Development of abstract and exact thinking during the study of mathematical concepts and relations

Type of course unit:required
Year of study:Not applicable - the subject could be chosen at anytime during the course of the programme.
Work placement:There is no compulsory work placement in the course unit.
Recommended study modules:none
Assessment methods:Credit, Examination.
Credit is obtained after success in writen 11 tests (you have to receive minimum 7 points from maxim 11 to receive credit). Tests are focussed on talked over topics.
Examination is written and has three parts: 8 questions for three points (test a, b, c, d), 3 theoretical questions for 10 points and 3 practical calculations for 8 points (you have to receive minimum 51% from each part of the examination).
Learning activities and study load (hours of study load)
Type of teaching methodCombined form
Direct teaching
     lecture14 h
     practice10 h
     preparation for exam64 h
     preparation for regular assessment35 h
     preparation for regular testing45 h
Total168 h

Basic reading list
  • RÁDL, P. -- ČERNÁ, B. -- STARÁ, L. Základy vyšší matematiky. 1. vyd. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 168 p. ISBN 978-80-7375-315-32.
  • NAVRÁTIL, M. Studijní materiály pro Základy vyšší matematiky.  [online]. 2005. URL:
Recommended reading list
  • POLÁK, J. Přehled středoškolské matematiky. 8. vyd. Praha: Prometheus, 2005. 608 p. ISBN 80-7196-267-8.
  • MAŘÍK, R. -- TIHLAŘÍKOVÁ, M. Online služba Mathematical Assistant on Web.  [online]. 2007. URL:
  • MAŘÍK, R. Robert Mařík's eReadings on Mathematics.  [online]. 2006. URL:
  • Calculus with analytic geometry. 2. vyd. New York: McGraw-Hill, 1996. 887 p. ISBN 0-07-057642-4.