Course code:  MT1 
Course title in language of instruction:  Matematika I 
Course title in Czech:  Mathematics I 
Course title in English:  Mathematics I 
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) parttime, 16/0 (lectures per period / seminars per period) 
Language of instruction:  Czech 
Level of course:  bachelor 
Semester:  WS 2017/2018 
Name of lecturer:  Mgr. Veronika Blašková, Ph.D. (instructor) Ing. Martina Čampulová, Ph.D. (examiner, instructor) doc. Mgr. David Hampel, Ph.D. (instructor, supervisor) Mgr. Tomáš Konderla, Ph.D. (examiner, instructor) RNDr. Dana Říhová, Ph.D. (examiner, instructor) Ing. Jakub Šácha, Ph.D. (instructor) RNDr. Lenka Viskotová, Ph.D. (examiner, instructor, lecturer) Ing. RNDr. Martina Zámková, Ph.D. (examiner, instructor) 
Prerequisites:  not Aplied Mathematics I 

Aims of the course: 
Attainment of a desired level of logical thinking abilities and mathematical knowledge and skills needed for solving everyday economic problems and business situations. 

Course contents: 
1.  Linear Algebra (allowance 12/12)   a.  Vector spaces  b.  Matrices  c.  Determinants  d.  Systems of the linear equations  e.  Matrix algebra 
 2.  Differential Calculus of One Variable (allowance 16/16)   a.  Functions and their properties.  b.  Limits  c.  Continuity  d.  The derivative  e.  Applications of derivatives: L'Hospital's rule  f.  Applications of derivatives: Graphical behavior of functions from derivatives 



Learning outcomes and competences: 
Generic competences:     ability to apply knowledge    ability to solve problems    ability to work independently    basic computing skills    general knowledge 
 Specific competences:     Student is able to describe properties of function and analyze it. Furthermore, from graph derivate their properties.    Student knows how to use operations with matrices and determinants for solving of systems of linear and matrix equations.    Student knows to calculate limits and derivatives of one variable functions and interpret it on function graphs.    Student knows to use derivatives for finding of extreme function values, i.e. its minimums and maximums.    Student will acquire properties and operations with matrices and determinants. This knowledge is necessary for solving of linear programming problems. 


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  Combined form  Direct teaching  lecture  28 h  16 h  practice  28 h  0 h  Selfstudy  preparation for exam  56 h  88 h  preparation for regular testing  28 h  36 h  Total  140 h  140 h 


Assessment methods: 
The examination consists of two parts, a test and a written exam. To pass the examination, a student has to achieve at least 50 % in both parts of the examination. 

Recommended reading: 
Type  Author  Title  Published in  Publisher  Year  ISBN 

RQ  RÁDL, P.  MOUČKA, J.  Matematika pro studenty ekonomie, 2., upravené a doplněné vydání  Praha  Grada  2015  9788024754062  RE   Thomas' calculus     9781292089799  RE  ČERNÁ, B.  Matematika  lineární algebra  Brno  Mendelova zemědělská a lesnická univerzita v Brně  2007  9788073750800  RE  BAUER, L.  LIPOVSKÁ, H.  MIKULÍK, M.  Matematika v ekonomii a ekonomice     9788024744193  RE  SYDSÆTER, K.  HAMMOND, P J.  STRØM, A.  Essential mathematics for economic analysis  Harlow  Pearson Education  2012  9780273760689  RE  MUSILOVÁ, J.  MUSILOVÁ, P.  Matematika I: pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky  Brno  VUTIUM  2009  9788021436312 
