Course syllabus MT - Mathematics (FA - SS 2018/2019)


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Course code:
MT
Course title in Czech: Mathematics
Course title in English:
Mathematics
Semester:
SS 2018/2019
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:
optional
Type of delivery: consulting
Mode of delivery for our mobility students abroad:
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Language of instruction:
Czech
Course supervisor:
doc. Mgr. Petr Hasil, Ph.D.
Course supervising department:
Faculty:
Teachers:
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)
RNDr. Miroslav Navrátil, Ph.D. (examiner, instructor, lecturer)
RNDr. Ludmila Stará (instructor)
Prerequisites:
none
 
Timetable in this semester:
-- item not defined --
 
Aim of the course and learning outcomes:
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 content:
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 activities and teaching methods:
Type of teaching method
Daily attendance
lecture28 h
practice28 h
preparation for exam
56 h
preparation for regular assessment14 h
preparation for regular testing
42 h
Total
168 h
 
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.
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
HASIL, P. Poznámky z matematiky.  [online]. 2014. URL: http://um.mendelu.cz/akademie/predmety/3/download/09-MT_MT-K_SKRIPTA.pdf.
RÁDL, P. -- ČERNÁ, B. -- STARÁ, L. Základy vyšší matematiky. 3rd ed. Brno: Mendelova univerzita v Brně, 2014. 176 p. ISBN 978-80-7509-110-9.
NAVRÁTIL, M. -- STARÁ, L. Matematika pro AF, ZF a FRRMS (1.část).  [online]. 2009. URL: https://is.mendelu.cz/auth/eknihovna/slozky_objekty.pl?slozka=107;zobrazit=1484;typ=opora;lang=cz.
NAVRÁTIL, M. -- STARÁ, L. Matematika pro AF, ZF a FRRMS (2.část).  [online]. 2011. URL: http://is.mendelu.cz/eknihovna/slozky_objekty.pl?slozka=107;zobrazit=2327;typ=opora.

Recommended:
NAVRÁTIL, M. Matematika (projekt OPVK).  [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.

Course listed in study plans for this semester:
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Course listed in previous semesters: WS 2020/2021, SS 2019/2020, WS 2019/2020, WS 2018/2019, SS 2017/2018, WS 2017/2018 (and older)
Teaching place:
Brno


Last modification made by Ing. Michal Karhánek on 04/25/2019.

Type of output: