Study programmes / B-ARB Arboristics / Applied Mathematics for Arborists
Course code:AMPA
Course title in language of instruction:Aplikovaná matematika pro arboristy
Course title in Czech:Aplikovaná matematika pro arboristy
Course title in English:Applied Mathematics for Arborists
Mode of completion and number of credits:Exam (5 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:full-time, 2/2; part-time, 19/0
(full-time, hours of lectures per week / hours of seminars per week; part-time, lectures per period / seminars per period)
Language of instruction:Czech
Level of course:bachelor
Semester:WS 2018/2019 - FFWT
Name of lecturer:doc. Mgr. Robert Mařík, Ph.D. (examiner, instructor, lecturer, supervisor)
Aims of the course:Developing mathematical methods which can be used for description of real word phenomena and modelling physical, biological and engineering problems.
Mastering mathematical tools required for application of mathematics in engineering and life sciences.
Course contents:
1.Calculus (allowance 12/14)
a.Precalculus, real functions and properties of real functions, inverse functions, monotonicity
b.Derivative in one variable in mathematics and physics (linear and Taylor approximation, maxima and minima, related rates)
c.Derivatives in more variables

2.Integral calculus (allowance 8/10)
a.Indefinite integral and basic methods of integration (substitution, by parts)
b.Definite integral
c.Double integral and applications of double integral
d.Double integral in polar coordinates

3.Differential equations (allowance 8/4)
a.Differential equation and sloppe field
b.Numerical solving of differential equations (fixed steps methods)
c.Differential equations with separated variables

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

Specific competences:
-Ability to analyze related rates problems.
-Ability to use calculus to solve basic optimization problems.
-Abstract thinking development
-Basic knowledge of integral calculus and its applications.
-Mathematical modeling
-Problem solving ability

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:The course is finished with written exam (60 min.) to detect the level of knowledges and mathematical skills. Both theoretical understanding (50%) and ability to compute and solve problems (50%) are included in the test. Samples of the tests are available to and the content covers the topics from course syllabus.
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendanceCombined form
Direct teaching
     lecture28 h19 h
     practice28 h0 h
     preparation for exam56 h65 h
     preparation for regular assessment28 h56 h
Total140 h140 h

Basic reading list
  • DOŠLÁ, Z. Matematika pro chemiky. 1st ed. Brno: Masarykova univerzita, 2010. 116 p. ISBN 978-80-210-5263-5.
  • DOŠLÁ, Z. Matematika pro chemiky. 1st ed. Brno: Masarykova univerzita, 2011. 125 p. ISBN 978-80-210-5432-5.