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

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Course code:
AMA2
Course title in Czech:
Aplied Mathematics II
Course title in English:
Aplied Mathematics II
Semester: WS 2019/2020
Mode of completion and number of credits: Exam (5 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
Mode of delivery for our mobility students abroad:
-- item not defined --
Language of instruction: Czech
Course supervisor:
doc. Ing. Mgr. Jitka Janová, Ph.D.
Course supervising department:
Department of Statistics and Operation Analysis (FBE)
Faculty:
Faculty of Business and Economics
Teachers:
doc. Ing. Mgr. Jitka Janová, Ph.D. (supervisor)
Mgr. Tomáš Konderla, Ph.D. (examiner, instructor, lecturer)
Prerequisites:
Aplied Mathematics I
 
Timetable in this semester:
Day
From-till
Room
Teacher
EntryFrequencyCapacity
Wednesday
9.00-10.50Q33T. KonderlaLecture
Every week
48
Thursday
13.00-14.50
Q42
T. Konderla
Seminar
Every week
35
 
Aim of the course and learning outcomes:
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 content:
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 activities and teaching methods:
Type of teaching method
Daily attendance
lecture28 h
practice28 h
preparation for exam56 h
preparation for regular assessment
14 h
preparation for regular testing
14 h
Total
140 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.
 
Assessment criteria ratio:
Requirement type
Daily attendance
Total
0 %
 
Recomended reading and other learning resources:
Basic:
MOUČKA, J. -- RÁDL, P. Matematika pro studenty ekonomie. 2nd ed. Praha: Grada Publishing, 2015. 272 p. Expert. ISBN 978-80-247-5406-2.
BLAŠKOVÁ, V. -- TIRPÁKOVÁ, A. -- MARKECHOVÁ, D. -- STEHLÍKOVÁ, B. -- MOLL, I. -- STŘELEC, L. Statistika I. Mendelova univerzita v Brně, 2015. 203 p. ISBN 978-80-7509-329-5.
BAUER, L. -- LIPOVSKÁ, H. -- MIKULÍK, M. Matematika v ekonomii a ekonomice. 1st ed. Praha: Grada, 2015. 352 p. Expert. ISBN 978-80-247-4419-3.

Recommended:
SYDSÆTER, K. -- HAMMOND, P J. -- STRØM, A. Essential mathematics for economic analysis. Harlow: Pearson, 2016. 807 p. ISBN 978-1-292-07461-0.
MAŘÍK, R. Diferenciální a diferenční rovnice. 1st ed. Brno: Mendelova zemědělská a lesnická univerzita v Brně, 2007. 79 p.
KAŠTÁNKOVÁ, V. -- VÁGNER, M. Posloupnosti a řady. Brno: Univerzita obrany - Katedra ekonometrie, 2006. 90 p. ISBN 80-7231-131-X.

Course listed in study plans for this semester:
Field of study B-II-CAI Automation Control and Informatics, full-time form, initial period WS 2018/2019
 
Course listed in previous semesters:
WS 2020/2021, SS 2018/2019, WS 2018/2019, WS 2017/2018, WS 2016/2017, WS 2015/2016 (and older)
Teaching place:
Brno


Last modification made by Ing. Jiří Gruber on 09/05/2019.

Type of output: