Předmět Matematika v ekonomii (ME535)

Na serveru studentino.cz naleznete nejrůznější studijní materiály: zápisky z přednášek nebo cvičení, vzorové testy, seminární práce, domácí úkoly a další z předmětu ME535 - Matematika v ekonomii, Vysoká škola báňská - Technická univerzita Ostrava (VŠB-TU).

Materiál	Typ	Datum	Počet stažení

Cíl

After successful graduation students will:• increase knowledge of mathematics and economics at the master degree,• improve an ability to understand, describe and solve selected economic topics using mathematical knowledge,• apply existing and new acquired knowledge of mathematics for economic problem analysis,• use mathematics as a tool for deeper understanding of economics.

Osnova

Subject’s Syllabus:• Mathematical Economics – defining the term, its content and methods. The advantages of mathematical formalizationfor economic analysis, mathematical and graphical representation of economic functions. The term “mathematicalmodeling in Economics”.• The slope of a function. Total/average/marginal quantities, elasticity of a function (differential calculus).• The formal aspects of the consumption function, savings function, investment function, costs function, yieldfunction and profit/earnings function.• Maximizing the utility function, resp. product function while taking into account the budget restrictions (theextreme of a two-variable function with condition). The usage of the mathematical abstraction when searching foranalogical formal procedures within other economic realms (the applications within the theory of investment decision-making).• Static and dynamic quantities, the investment flow and the flow of capital, the capital accumulation (integralcalculus).• Dynamic modeling of supply and demand curve on the goods market, discrete and continuous model (differentialequations).• Mathematical interpretation of the income analysis, economic cycle, the lag and the equilibrium. The income equilibriummodels in graphical as well as mathematical representation in case of two-, three- and four-sector economy. Thetheory of growth.• Multiplier and acceleration principles in economy, dynamic multiplier.• Mathematical interpretation of crucial elements of the economy policy basic instruments used in the IS-LM Model;the equilibrium on the goods market, the equilibrium on the money market, fiscal and monetary policy.

Literatura

CHIANG, Alpha. C. Fundamental Methods of Mathematical Economics. McGraw-Hill/Irwin; 2004. ISBN 0-07-066219-3 .MAVRON, Vassilis C. and Timothy N. PHILLIPS. Elements of Mathematics for Finance. Springer, London 2007. ISBN 978-3-540-05117-6 .BB. DOWLING, Edward T. Schaum's Outline of Introduction to Mathematical Economics, McGraw-Hill; 3rd edition, 2011.ISBN-13: 978-0071762519.

Požadavky

Žádné

Garant

Ing. Petr Seďa, Ph.D.

Vyučující

RNDr. Danuše Bauerová, Ph.D.Ing. Petr Seďa, Ph.D.