Study programmes / B-AGE Agricultural Engineering / Mathematics
Course code:MT
Course title in language of instruction:Matematika
Course title in Czech:Matematika
Course title in English:Mathematics
Mode of completion and number of credits:Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:full-time, 2/2
(full-time, hours of lectures per week / hours of seminars per week)
Language of instruction:Czech
Level of course:bachelor
Semester:WS 2018/2019 - FA
Name of lecturer:Mgr. Simona Fišnarová, Ph.D. (instructor)
doc. Mgr. Petr Hasil, Ph.D. (examiner, instructor, lecturer, supervisor)
Mgr. Marie Koktavá, Ph.D. (instructor)
Mgr. Alice Králová (instructor)
Mgr. Petr Liška, Ph.D. (instructor)
doc. Mgr. Robert Mařík, Ph.D. (instructor)
RNDr. Miroslav Navrátil, Ph.D. (examiner, instructor, lecturer)
RNDr. Ludmila Stará (instructor)
Prerequisites:none
 
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.Linear algebra (allowance 4/4)
 
a.Vectors
b.Matrices and determinants
c.Systems of linear equations

2.Differential calculus (allowance 8/10)
 
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

3.Integral calculus (allowance 8/6)
 
a.Indefinite integral
b.Techniques of integration
c.Definite integral
d.Applications of integrals

4.Function approximation by polynomials (allowance 4/4)
 
a.Taylor polynomial
b.Lagrange interpolation formula
c.Method of least squares
d.Solutions of algebraic equations

Learning outcomes and competences:
Generic competences:
 
-ability to analyse and synthesize
-ability to communicate with professionals in different field of study
-ability to solve problems
-ability to work independently
-basic computing skills
-general knowledge

Specific competences:
 
-Ability to construct a logical argument.
-Capacity for abstract thinking.
-Competence to construct and to work with an exact logical argument.
-Knowledge of basic mathematical method required for mathematical models creation of real situations
-Knowledge of linear algebra, differential and integral calculus sufficient to understand and use technical literature which uses these areas.

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 credit is compulsory for the final exam participation (2 tests, maximum 10 points each, tests will be written in 7th and 12th week of the semester, for credit it is necessary to receive totally at least 10 of 20 points, i.e., 50%).
The course is completed by an exam including both theory and its application to specific examples. The exam is written (it is necessary to receive at least 30 of 60 points, i.e., 50%).
Details of exam topics, a structure of the written exam and sample tests are disclosed in the documents within the UIS and correspond to the course content described in this syllabus.
 
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
Self-study
     preparation for exam56 h
     preparation for regular assessment14 h
     preparation for regular testing42 h
Total168 h

Basic reading list
Recommended reading list
  • NAVRÁTIL, M. Matematika pro FRRMS.  [online]. 2014. URL: https://is.mendelu.cz/auth/eknihovna/opory/index.pl?opora=4108.
  • ZEMÁNEK, P. -- HASIL, P. Sbírka řešených příkladů z matematické analýzy I. Brno: Masarykova univerzita, 2012. 527 p. Elportál (ISSN 1802-128X), 3. vydání. ISBN 978-80-210-5882-8.
  • MAŘÍK, R. -- TIHLAŘÍKOVÁ, M. Online služba Mathematical Assistant on Web.  [online]. 2007. URL: http://user.mendelu.cz/marik/maw/.
  • MAŘÍK, R. Robert Mařík's eReadings on Mathematics.  [online]. 2006. URL: http://user.mendelu.cz/marik/frvs/index.html.
  • Calculus with analytic geometry. 2nd ed. New York: McGraw-Hill, 1996. 887 p. ISBN 0-07-057642-4.
  • ČERNÁ, B. Matematika - lineární algebra. 4th ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 129 p. ISBN 978-80-7375-080-0.
  • VOSMANSKÁ, G. Matematika. 5th ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 120 p. ISBN 978-80-7375-079-4.