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:  fulltime, 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.  Firstorder linear differential equations  d.  Secondorder 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 method  Daily attendance  Direct teaching  lecture  28 h  practice  28 h  Selfstudy  preparation for exam  56 h  preparation for regular assessment  14 h  preparation for regular testing  14 h  Total  140 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: 
Type  Author  Title  Published in  Publisher  Year  ISBN 

RE  BLAŠKOVÁ, V.  TIRPÁKOVÁ, A.  MARKECHOVÁ, D.  STEHLÍKOVÁ, B.  MOLL, I.  STŘELEC, L.  Statistika I  Brno  MZLU v Brně  2009  9788073752866  RE  MAŘÍK, R.  Diferenciální a diferenční rovnice  Brno  Mendelova zemědělská a lesnická univerzita v Brně  2007   RE  MOUČKA, J.  RÁDL, P.  Matematika pro studenty ekonomie  Praha  Grada  2010  9788024732602  RE  VŘEŠŤÁLOVÁ, H.  VŘEŠŤÁL, E.  Matematika : Diferenciální počet  Brno  VŠZ  1989  
