Study programmes / B-EPA Economic policy and administration / Mathematics II
Course code:MT2
Course title in language of instruction:Matematika II
Course title in Czech:Matematika II
Course title in English:Mathematics II
Mode of completion and number of credits:Exam (6 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes:full-time, 2/2; part-time, 16/0
(full-time, hours of lectures per week / hours of seminars per week; part-time, lectures per period / seminars per period)
Language of instruction:Czech
Level of course:bachelor
Semester:SS 2018/2019 - FBE
Name of lecturer:doc. Mgr. David Hampel, Ph.D. (supervisor)
Prerequisites:Mathematics I
 
Aims of the course:Attainment to a desired level of logical thinking, mathematical knowledge and skills necessary for description and solution of mathematical models of typical problems.
Course contents:
1.Multivariable calculus (allowance 9/9)
 
a.Functions of two variables
b.Domain of functions of two variables
c.Partial derivatives
d.Local extreme, extreme bound, absolute extreme

2.Integral calculus (allowance 9/9)
 
a.Indefinite integral
b.Definite integral
c.Improper integral

3.Differential equations (allowance 6/6)
 
a.First order differencial equations
b.Second order differencial equations

4.Difference equations (allowance 4/4)
 
a.Sequence
b.Difference equations

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 with use of basic integration methods calculate indefinite integral
-Student is able with using limits and integration methods solve improper integral.
-Student knows to solve basic types of difference equations of 1st and 2nd order.
-Student knows to solve basic types of ordinary differential equations of 1st and 2nd order.
-Student knows to use calculation derivative of two variables function for determination of its maximal and minimal value.
-Student knows with use of definite integral calculate surface area and volume of rotate solids.

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:none
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.
 
Learning activities and study load (hours of study load)
Type of teaching methodDaily attendanceCombined form
Direct teaching
     lecture28 h0 h
     practice28 h0 h
     consultation0 h16 h
Self-study
     preparation for exam46 h118 h
     preparation for regular assessment56 h0 h
     preparation for regular testing10 h34 h
Total168 h168 h

Basic reading list
  • RÁDL, P. -- MOUČKA, J. Matematika pro studenty ekonomie, 2., upravené a doplněné vydání. Praha: Grada, 2015. 272 p. ISBN 978-80-247-5406-2.
Recommended reading list
  • Thomas' calculus. 1 p. ISBN 978-1-292-08979-9.
  • BAUER, L. -- LIPOVSKÁ, H. -- MIKULÍK, M. Matematika v ekonomii a ekonomice. 1st ed. 352 p. Expert. ISBN 978-80-247-4419-3.
  • SYDSÆTER, K. -- HAMMOND, P J. -- STRØM, A. Essential mathematics for economic analysis. 4th ed. Harlow: Pearson Education, 2012. 745 p. ISBN 978-0-273-76068-9.
  • MAŘÍK, R. Diferenciální rovnice a autonomní systémy. Brno: MZLU v Brně, 2009. 103 p. 2429. ISBN 978-80-7375-334-4.
  • MUSILOVÁ, J. -- MUSILOVÁ, P. Matematika I: pro porozumění i praxi : netradiční výklad tradičních témat vysokoškolské matematiky. 2nd ed. Brno: VUTIUM, 2009. 339 p. ISBN 978-80-214-3631-2.