Sylabus předmětu RRMAT - Mathematics (FRDIS - WS 2012/2013)


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Course code:
RRMAT
Course title in Czech:
Mathematics
Course title in English:
Mathematics
Semester:
WS 2012/2013
Mode of completion and number of credits: Exam (6 credits)
Mode of delivery and timetabled classes:
full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Level of course:
bachelor
Course type:
required
Type of delivery:
usual, consulting
Mode of delivery for our mobility students abroad:
-- item not defined --
Language of instruction:
Czech
Course supervisor:
Course supervising department:
Faculty:
Teachers:
Bc. Michaela Burešová (instructor)
Mgr. Lenka Macálková (instructor)
RNDr. Miroslav Navrátil, Ph.D. (examiner, instructor, lecturer, supervisor)
RNDr. Ludmila Stará (instructor)
Prerequisites:
not Mathematics in English
 
Timetable in this semester:
Day
From-till
Room
Field of study
Year of study
GroupTeacher
Entry
Frequency
Capacity
Wednesday
7.00-8.50
Z7 (ČP II.)
B-RR-SERR
1
1
SeminarEvery week30
Wednesday
9.00-10.50Z6 (ČP II.)
B-RR-SERR
1
7
Seminar
Every week
30
Wednesday
9.00-10.50
Z7 (ČP II.)
B-RR-SERR
1
6
Seminar
Every week
30
Wednesday
11.00-12.50
Z7 (ČP II.)
SeminarEvery week30
Wednesday
11.00-12.50
Z6 (ČP II.)
B-RR-SERR
1
5
Seminar
Every week
30
Wednesday
13.00-14.50
Z7 (ČP II.)
B-RR-SERR
1
4
M. Burešová
Seminar
Every week
30
Thursday
7.00-8.50A01B-RR-SERR
1
 
LectureEvery week
180
Thursday
11.00-12.50Z2 (ČP II.)B-RR-SERR
1
2
M. Navrátil
Seminar
Every week
30
Thursday
13.00-14.50
Z3 (ČP II.)
B-RR-SERR
1
3
Seminar
Every week
30
 
Aim of the course and learning outcomes:
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)
 
a.
Vectors
b.
Matrices and determinants
c.
Systems of the linear equations

Learning activities and teaching methods:
Type of teaching methodDaily attendance
lecture
28 h
practice
28 h
consultation6 h
preparation for exam
60 h
preparation for regular assessment16 h
preparation for regular testing
30 h
Total
168 h
 
Assessment methods:
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).
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
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: http://is.mendelu.cz/eknihovna/slozky_objekty.pl?slozka=107;zobrazit=1484;typ=opora.
NAVRÁTIL, M. Studijní materiály předmětu Matematika.  [online]. 2009. URL: http://user.mendelu.cz/navratil/frrms/.

Recommended:
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: http://user.mendelu.cz/marik/maw/.
POLÁK, J. Přehled středoškolské matematiky. 9th ed. Praha: Prometheus, 2008. 659 p. ISBN 978-80-7196-356-1.

Course listed in study plans for this semester:
Field of study B-RD-SEDR Socioeconomic and Environmental Development of Regions, full-time form, initial period WS 2012/2013
 
Course listed in previous semesters: WS 2020/2021, SS 2019/2020, WS 2019/2020, SS 2018/2019, WS 2018/2019, SS 2017/2018 (and older)
Teaching place:
Brno


Last modification made by Import dat z knihovny on 07/31/2014.

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