Course syllabus AMA2 - Aplied Mathematics II (FBE - WS 2017/2018)

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Course code: AMA2
Course title in language of instruction: Aplikovaná matematika II
Course title in Czech: Aplied Mathematics II
Course title in English: Aplied Mathematics II
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 (hours of lectures per week / hours of seminars per week)
Language of instruction: Czech
Level of course: bachelor
Semester: WS 2017/2018
Name of lecturer: doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
Mgr. Tomáš Konderla, Ph.D. (examiner, instructor, lecturer)
Prerequisites: Aplied Mathematics I
Aims of the course:
The development level of mathematical knowledge and skills. Mastering the necessary mathematical tools for describing and solving models of real situations. Acquisition of mathematical knowledge needed for applications in technical courses and other independent acquisition of knowledge by studying literature.
Course contents:
1.Differential equations (allowance 8/8)
a.Integration methods used to solve differential equations
b.Differential equations with separable variables
c.First-order linear differential equations
d.Second-order linear differential equations

2.Infinite series (allowance 6/6)
a.Infinite series and their sums
b.Geometric series
c.Convergence tests
d.Power series

3.Probability and statistics (allowance 14/14)
a.Basic statistical concepts and data processing
b.Description and analysis of multidimensional populations
c.Basics of probability theory
e.Statistical estimation
f.Basics of hypothesis testing

Learning outcomes and competences:
Generic competences:
-ability to apply knowledge
-ability to make decisions
-ability to solve problems
-ability to work independently
-basic computing skills

Specific competences:
-Student is able to decide about the covergence of infinite serie selecting the appropriate convergence test
-Student is able to solve some differential equations of first and second order using suitable method
-Student is able to test some hypotheses using the appropriate statistical test
-Student knows and is able to use basic knowledges of probability theory

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: -
Learning activities and study load (hours of study load):
Type of teaching methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     preparation for exam56 h
     preparation for regular assessment14 h
     preparation for regular testing14 h
Total140 h
Assessment methods:
The exam is written. Duration of the exam is 75 minutes and contains 2 theoretical question and 5 examples. It is possible to get maximum 10 points from theoretical part and maximum 40 points from practical part. To pass the exam it is necessary to get at least 50% points of each part of exam test and overall at least 60% points. To get approach on exam, it is necessary to have at least 50% of 10 points from three intermediate tests in practices.
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
REBLAŠKOVÁ, V. -- TIRPÁKOVÁ, A. -- MARKECHOVÁ, D. -- STEHLÍKOVÁ, B. -- MOLL, I. -- STŘELEC, L.Statistika IBrnoMZLU v Brně2009978-80-7375-286-6
REMAŘÍK, R.Diferenciální a diferenční rovniceBrnoMendelova zemědělská a lesnická univerzita v Brně2007
REMOUČKA, J. -- RÁDL, P.Matematika pro studenty ekonomiePrahaGrada2010978-80-247-3260-2
REMatematika: Diferenciální početBrnoVŠZ1989


Last modification made by Ing. Jiří Gruber on 05/22/2017.

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