Course syllabus RRMAT - Mathematics (FRDIS - WS 2012/2013)

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Course title: Mathematics
Semester: WS 2012/2013
Course supervisor: RNDr. Miroslav Navrátil, Ph.D.
Supervising department: Department of Mathematics (FFWT)
Time allowance: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Prerequisites for registration: not Mathematics in English
Type of study: usual, consulting
Form of teaching: lecture, seminar
Mode of completion and credits: Exam (6 credits)
Course objective:
Extend knowledge of the parts of mathematics which can be used for description of real word. Introduce the mathematical tools and methods that are frequently used in solving problems in economy, biology and others sciences.
Course content:
1.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.Local extrema, concavity and inflection points, asymptotes, applications.

2.Integral calculus (allowance 7/6)
a.Techniques of integration
b.The definite integral, fundamental theorem
c.Improper integrals
d.Geometrical applications

3.Polynomial approximation (allowance 4/3)
a.The solution of algebraic equations
b.Taylor polynomial
c.Lagrange interpolation formula
d.Least squares polynomial approximation

4.Linear algebra (allowance 5/5)
b.Matrices and determinants
c.Systems of the linear equations

Teaching methods and workload (hours of workload):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     consultation6 h
     preparation for exam60 h
     preparation for regular assessment16 h
     preparation for regular testing30 h
Total168 h
Key words:
Course completion:
2 written tests will be during the course. Maximum points for each test is 8, so maximal total receive points could be 16. For Credit is necessary to have at least 8 points. Test will be written 7th and 14th week of the semester. Participation on the written tests at aforementioned weeks is compulsory.
The course is finished with written exam. Credit is compulsory for final exam participation. For exam Credit you have to receive minimal 41 points from 3 partial parts written tests (theory,test,example).
Course methods: Lectures and seminars (2/2).
Written tests.
Participation on the seminars is compulsory.
Reading list:
NAVRÁTIL, M. Matematika I.: pro distanční studium vysokých škol. 1st ed. Ostrava: Key Publishing, 2008. 198 p. ISBN 978-80-87071-82-3.
RÁDL, P. -- ČERNÁ, B. -- STARÁ, L. Základy vyšší matematiky. 1st ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 168 p. ISBN 978-80-7375-315-32.
NAVRÁTIL, M. -- STARÁ, L. Matematika pro AF, ZF a FRRMS.  [online]. 2009. URL:;zobrazit=1484;typ=opora.
NAVRÁTIL, M. Studijní materiály předmětu Matematika.  [online]. 2009. URL:

Calculus with analytic geometry. 2nd ed. New York: McGraw-Hill, 1996. 887 p. ISBN 0-07-057642-4.
MAŘÍK, R. -- TIHLAŘÍKOVÁ, M. Online služba Mathematical Assistant on Web.  [online]. 2007. URL:
POLÁK, J. Přehled středoškolské matematiky. 9th ed. Praha: Prometheus, 2008. 659 p. ISBN 978-80-7196-356-1.

Study plans:
B-RD-SEDR Socioeconomic and Environmental Development of Regions, full-time form, initial academic year WS 2012/2013
Run in the period of: WS 2019/2020, SS 2018/2019, WS 2018/2019, SS 2017/2018, WS 2017/2018, SS 2016/2017   (and older)
Course tutor: Bc. Michaela Burešová (instructor)
Mgr. Lenka Macálková (instructor)
RNDr. Miroslav Navrátil, Ph.D. (examiner, instructor, lecturer, supervisor)
RNDr. Ludmila Stará (instructor)
Teaching language: Czech
Town: Brno

Last modification made by Data import from library on 07/31/2014.

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