AM4_UEV Applied Mathematics

Moravian Business College Olomouc
summer 2013
Extent and Intensity
12/0/0. 5 credit(s). Type of Completion: z (credit).
Teacher(s)
Mgr. Veronika Říhová, Ph.D. (lecturer)
Mgr. Jan Večeřa (lecturer)
Guaranteed by
Mgr. Veronika Říhová, Ph.D.
Moravian Business College Olomouc
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives
Aim of this subject is to prepare students for a direct application of math skills when solving practical tasks. Mathematical calculations and case studies are difered in accordance with the subject to cover a wide range of disciplines to be covered by studentes in practise. Subject deals with a direct application of the skills studied during the previous semesters to solve practical tasks.
Syllabus
  • 1. Risk conception, classification, measurement
    - understanding the term "risk"
    - types of risks
    - numerical charasteristics to measure the risk
    2. Risk identification, signifikance determination, probability distribution
    - sensitivity analysis
    - uniform distribution
    - triangular distribution
    - yes-no distribution (Bernouli)
    3. Simulation of risk factors dependence
    - correlation
    - envelope method
    4. Monte Carlo simulation
    - simulation procedure
    - outputs evaluation
    5. Risk evaluation and selection of risk variant
    - attitude to risk
    - expected value and dispersion method
    - stochastic dominance method
    - coefficient of variation
    6. Application of integral and differential calculus in costs models
    - methods for cost functions determination
    - application of definite integral
    7. Restoration models
    - continuous model of elderly appliance
    - discreet model of elderly appliance
    8. Deterministic inventory models
    - optimization of inventory costs
    9. Stochastic inventory models
    - loss optimization
    10. Linear programming
    - graphical method for solving problems of linear programming
    11. and 12. Mathematical methods for decision-making
    - decision-making processes
    - methods for multi-criteria evaluation
Literature
    required literature
  • VOSE, D. Risk Analysis, 3rd edition. ISBN 978-0-470-51284-5. info
  • KORECKÝ, M., TRKOVSKÝ, V. Management rizik projektů. Praha: Grada, 2011. ISBN 978-80-247-3221-3. info
  • HNILICA, J., FOTR, J. Aplikovaná analýza rizika. Praha: Grada, 2009. ISBN 978-80-247-2560-4. info
  • LAGOVÁ, M., JABLONSKÝ, J. Lineární modely. Oeconomia, 2009. info
  • FOTR, J., ŠVECOVÁ, L., DĚDINA, J., HRŮZOVÁ, H., RICHTER, J. Manažerské rozhodování. Ekopress, 2006. ISBN 80-86929-15-9. info
  • DOWNING, D., CLARK, J. Business Statistics, 4th edition. 2003. info
  • HUŠEK, R., SAMEK, J. Modely řízení zásob, 1. vydání. Praha, 1971. info
Language of instruction
English
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
Information on the extent and intensity of the course: Přednáška 12 HOD/SEM.
Teacher's information
Project processing, progress test 70%, final test 70%, oral exam.
  • Enrolment Statistics (recent)
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