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Předmět Mathematics - EM (EAE59E)

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Další informace

Cíl

Overview of mathematics for business, economics and life and social sciences. Selected mathematical tools important for economic decision-making. Lectures - theory and applications Seminars - practice problem solving, tutorials, practical exercises.

Osnova

PřednáškaIntroduction to the Set Theory Relations, Ordering, FunctionsGraph TheoryBasic FunctionsFunction of Single VariableLimits and Derivatives of Function Course of FunctionFunction in EconomicsLinear Algebra and Vector SpaceSystem of Linear Equations ISystem of Linear Equations IIPractical application of SLECvičeníSet Theory and Relations Graph theory modelsLimits and Derivatives of FunctionCourse of Function - Practical ApplicationsMatrix operations, Jordanian EliminationSystem of Linear Equations

Získané způsobilosti

Znalosti:Undergraduates fructified successfully mathematical grounding of secondary education level. They understand basic mathematical concepts, terms and procedures, know the essence of the set theory, relations, graph theory, of the functions theory, limit of the function and process of differentiation, and finally of the linear algebra and theory of systems of linear equations. They see mathematics as a necessary tool for solutions of various technical and societal problems and a base of their future undergraduate study.Dovednosti:Undergraduates can apply their mathematical theoretical and practical knowledge in creating solutions to other similar single well-defined mathematical problems. Students should demonstrate an understanding of mathematical theories and their applications. Mainly, they have skills to analyse, identify properties and plot the graphs of simple functions and to use systems of linear equations for practical problem solving.Kompetence - komunikace:Graduates are capable of communication with other professionals using basic mathematics in the practice. They know basic mathematical vocabulary, use it in English communication. Produce detailed written and oral communication in situations in which play some role mathematical tools. They convey ideas in a well structured and coherent way to peers, supervisors and clients using quantitative information at bachelor level.Kompetence - úsudek:Undergraduates are able to evaluate and critically assess their study and plan other quantitative courses. The obtained level of basic mathematical theories makes them possible to present and justify mathematical approaches to solution of a problem before public. They can judge if the given problem is easy to solve independently or ask for assistance.

Literatura

ZákladníJazyk výuky: AngličtinaHoffmann, L. D., Bradley, G. L. Finite Mathematics with Calculus, McGraw-Hill, 1995, ISBN 0-07-029325-Xhttp//en.wikipedia.org/wiki/PortalMathematicsEric W. Weisstein MathWorld - A Wolfram Web Resource, http//mathworld.wolfram.comwebpages moodle.czu.czDoporučenáJazyk výuky: AngličtinaSimon, C. P., Blume, L. E. Mathematics for Economists Internet sourcesHoy, M. et all Mathematics for Economics, third edition, MIT, 2011,978-0262015073

Požadavky

Mathematics-Secondary School level

Garant

doc. RNDr. Helena Brožová, CSc.