Course syllabus AMA2 - Aplied Mathematics II (FBE - WS 2019/2020)


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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 2019/2020
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
d.Sampling
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
Self-study
     preparation for exam56 h
     preparation for regular assessment14 h
     preparation for regular testing14 h
Total140 h
 
Assessment methods:
Preliminary: During the semester three tests are written. Typically, each test contains only one example. Tests are scored 0 (not reached level required), 1 (level required), 2 (very good level), 3 (excellent flawless work), while in the first term, points 2 and 3 are added to the exam points. It is necessary to have all three tests for at least 1 point to get the preliminary.

Examination: To be admitted to the exam, the student must have been granted the preliminary in the given semester, when he / she performs the exam. The exam is written, it takes 90 minutes and usually contains 4-5 examples. The exam may also contain theoretical questions. Based on the sum of possible points from the midterm tests and points from the exam, the marks are then divided according to the key:

A 91-100
B 81-90
C 71-80
D 61-70
E 50-60
F less than 50

General: Participation in seminars and lectures is optional but registered and may be considered. If, at any time during a test or examination, a student is caught in fraud or unauthorized activity, he / she is automatically awarded three F and may be subject to disciplinary action and subsequent exclusion from study.
 
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQMOUČKA, J. -- RÁDL, P.Matematika pro studenty ekonomiePrahaGrada Publishing2015978-80-247-5406-2
RQBLAŠKOVÁ, V. -- TIRPÁKOVÁ, A. -- MARKECHOVÁ, D. -- STEHLÍKOVÁ, B. -- MOLL, I. -- STŘELEC, L.Statistika IMendelova univerzita v Brně2015978-80-7509-329-5
RQBAUER, L. -- LIPOVSKÁ, H. -- MIKULÍK, M.Matematika v ekonomii a ekonomicePrahaGrada2015978-80-247-4419-3
RESYDSÆTER, K. -- HAMMOND, P J. -- STRØM, A.Essential mathematics for economic analysisHarlowPearson2016978-1-292-07461-0
REMAŘÍK, R.Diferenciální a diferenční rovniceBrnoMendelova zemědělská a lesnická univerzita v Brně2007
REKAŠTÁNKOVÁ, V. -- VÁGNER, M.Posloupnosti a řadyBrnoUniverzita obrany - Katedra ekonometrie200680-7231-131-X

RQrequired
RErecommended


Last modification made by Ing. Jiří Gruber on 05/20/2019.

Type of output: