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Lecturer(s)
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Koudela Libor, Mgr. Ph.D.
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Course content
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Number series, basic properties, convergence criteria. Absolute convergence. Power series, region of convergence, sum. Taylor series. Selected topics in vector algebra and analytic geometry. Functions of two real variables, basic concepts. Partial derivatives of functions of two real variables, basic properties, higher order derivatives. Total differential. Derivation of a composite function. Implicitly given function. Extremes of functions of two real variables. Selected applications. Ordinary differential equations. Existence and uniqueness of a solution. Separable, homogeneous and linear equations. Application of the course material to the solution of some typical problems in economic practice.
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Learning activities and teaching methods
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Monologic (reading, lecture, briefing), Work with text (with textbook, with book), Methods of individual activities, Skills training
- Preparation for a credit (assessment)
- 20 hours per semester
- Preparation for an exam
- 65 hours per semester
- Contact teaching
- 65 hours per semester
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Learning outcomes
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Students will be able to apply obtained skills in solving concrete mathematical and economic problems.
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Prerequisites
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Knowledge of mathematics within the scope of the basic course is expected.
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Assessment methods and criteria
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Written examination, Home assignment evaluation, Didactic test
Assignment: elaboration of the assigned work Examination: written test
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Recommended literature
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Hoy, Michael. Mathematics for economics. Cambridge, Mass.: MIT Press, 2011. ISBN 978-0-262-51622-8.
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Jindrová,P., Seinerová,K. Zbírka řešených příkladů z matematiky s aplikacemi v ekomii. Pardubice: Univerzita Pardubice, 2011.
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Kolda S. - Černá M. Úvod do lineární algebry a analytické geometrie. null. Pardubice, 2007.
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Koudela, L. a kol. Matematika I. Pardubice: Univerzita Pardubice, 2012.
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Prachař,O., Jelínková,J. Minimum z předmětu Matematika I (1.část). 2013.
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Prachař,O. Minimum z předmětu Matematika I (3.část). 2013.
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Zahrádka,J., Prachař,O. Minimum z předmětu Matematika I (2.část). 2011.
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