Course syllabus PEM - Pokročilé ekonomicko-matematické metody (FBE - SS 2019/2020)

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Course code: PEM
Course title in language of instruction: Pokročilé ekonomicko-matematické metody
Course title in Czech: Pokročilé ekonomicko-matematické metody
Course title in English: -- item not defined --
Mode of completion and number of credits: Exam (5 credits)
(1 ECTS credit = 28 hours of workload)
Mode of delivery/Timetabled classes: full-time, 2/2 (hours of lectures per week / hours of seminars per week)
Language of instruction: Czech
Level of course: bachelor
Semester: SS 2019/2020
Name of lecturer: doc. Ing. Josef Holoubek, CSc. (instructor, lecturer)
doc. Ing. Mgr. Jitka Janová, Ph.D. (instructor, lecturer, supervisor)
Ing. Michaela Staňková (instructor, lecturer)
RNDr. Lenka Viskotová, Ph.D. (instructor, lecturer)
Prerequisites: Mathematics II and Economic-mathematical Methods and Econometrics I
Aims of the course:
The aim of the course is to summarize the knowledge and knowledge of the subjects Econometrics, Mathematics and Economic-Mathematical Methods and to present approaches to solving problems theoretically presented only in a limited range. Students will acquire skills that can be used not only in practice, but also for processing of their thesis.
Course contents:
1.Fundamentals of mathematical economics (allowance 8/8)
a.Modelling of long-term financial products
b.Description and characteristics of economic functional relations
c.Derivation of selected microeconomic relations
d.Extreme economic tasks

2.Multi-criteria decision making (allowance 8/8)
a.Methods for determining weights of variants
b.Decision making under uncertainty
c.Sensitivity analysis of preferential order of variants
d.Multiple criteria decision making under uncertainty

3.Quantitative case studies (allowance 12/12)
a.Advanced application of linear programming
b.Theory of duality and sensitivity analysis
c.Network optimization models
d.Dynamic programming application
e.Application of non-linear programming
f.Application of data envelopment analysis
g.Principles of heuristic methods
h.Decision trees
i.Application of queue theory and inventory theory
j.Markov's decision-making processes
k.Simulation techniques of validation

Learning outcomes and competences:
-- item not defined --
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 methodDaily attendance
Direct teaching
     lecture28 h
     practice28 h
     consultation4 h
     preparation for exam20 h
     elaboration and execution of projects60 h
Total140 h
Assessment methods:
Project in the field of mathematical economics and project in the area of decision-making problems. Final exam.
Recommended reading:
TypeAuthorTitlePublished inPublisherYearISBN
RQMEZNÍK, I.Úvod do matematické ekonomie pro ekonomyBrnoFakulta podnikatelská Vysokého učení technického v Brně :2011978-80-214-4239-9
RQJABLONSKÝ, J. -- DLOUHÝ, M.Modely hodnocení efektivnosti produkčních jednotekPrahaProfessional Publishing200480-86419-49-5
RQPLEVNÝ, M. -- ŽIŽKA, M.Modelování a optimalizace v manažerském rozhodováníPlzeňZápadočeská univerzita2007978-80-7043-435-2
REHILLIER, F S.Introduction to management science: a modeling and case studies approach with spreadsheetsBoston [u.a.McGraw-Hill/Irwin2008978-007-125927-9
REDOWLING, E T.Introduction to mathematical economics978-0-07-176251-9
REHILLIER, F S.Introduction to operations researchBostonMcGraw-Hill2010978-007-126767-0


Last modification made by Ing. Jiří Gruber on 12/04/2019.

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