Terminated in academic year 2009/2010

Mathematics B

Type of study	-
Language of instruction	Czech
Code	151-0802/03
Abbreviation	MB Cžv
Course title	Mathematics B
Credits	6
Coordinating department	Department of Mathematical Methods in Economics
Course coordinator	Fiktivní Uživatel

Course aims

Knowledge
• Define basic integration rules.
• Define indefinite and definite integral.
• Relate properties of indefinite and definite integral.
• Define the function of two variables.
• Find the domain and range.
• Describe basic properties.
• Compute partial derivates of functions.
• Order knowledge about first-ordered differential equations.
• Identify the types of differential equations.
• Solve differential equations.

Comprehension
• Select suitable integral methods.
• Solve integrals of rational functions by the method of partial fractions.
• Solve integrals of some irrational functions and trigonometric functions.
• Extend knowledge about economic dependences using a mathematical function.
• Generalise the functions on the dependences in the real live.
• Express knowledge about equation solving.

Applications
• Apply integration methods in economics.
• Obtain easier imagine about economic functions of utility.
• Discover the tools suitable for describing of dynamical models.

Literature

[1] Pampel Th. Mathematik für Wirtschaftswissenschaftler. Springer Verlag, 2010.
[2] Dietz H.M. ECOMath 1 Mathematik für Wirtschaftswissenschaftler. Springer Verlag, 2010.
[3] Dietz H.M. ECOMath 2 Mathematik für Wirtschaftswissenschaftler. Springer Verlag, 2010.
[4] Dietz H.M. ECOMath 3 Mathematik für Wirtschaftswissenschaftler. Springer Verlag, 2011 (v prodeji během roku 2011).
[5] Kohn W., Öztürk R. Mathematik für Ökonomen - Ökonomische Anwendungen der linearen Algebra und Analysis mit Scilab. Springer Verlag, 2009.
[6] Stewart J.S. Calculus - Concepts and Contexts. Cengage Learning, 2010.

Advised literature

[7] Canuto C., Tabacco A. Mathematical Analysis I. Springer Verlag, 2008.
[8] Larson R., Falvo D.C. Elementary Linear Algebra. Houghton Mifflin Harcourt Publishing Company, Boston-New York, 6th edition, 2009.
[9] Schmidt K., Trenkler G. Einführung in die moderne Matrix-Algebra (mit Anwendungen in der Statistik), 2-te Auflage, Springer Verlag, 2006.

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