151-0342/02 – Mathematics G (Mat G)

 Gurantor department Department of Mathematical Methods in Economics Credits 4 Subject guarantor Mgr. Marian Genčev, Ph.D. Subject version guarantor RNDr. Simona Pulcerová, Ph.D., MBA Study level undergraduate or graduate Requirement Compulsory Year 1 Semester winter Study language Czech Year of introduction 2006/2007 Year of cancellation 2009/2010 Intended for the faculties EKF Intended for study types Bachelor
Instruction secured by
SOB33 RNDr. Simona Pulcerová, Ph.D., MBA
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 1+2

Subject aims expressed by acquired skills and competences

The student will be able ... • to interpret correctly the concept of the real function (one variable), • to find the domain of real functions of one real variable (by means of solving systems of non-linear inequations), • to characterize the basic properties of continuous functions, • to explain the behavior of certain discontinuous functions, • to compute and to interpret correctly the concept of limits of functions, • to define and compute the derivative of a function, • to interpret graphically the value of 1st and 2nd derivative of a function at a fixed point, • to find and to determine the local extrema, points of inflextion, asymptotes and to interpret these concepts graphical and from the practival point of view, • to control the basic rules for computing the antiderivative of a function, • to explain the concept of definite integral (Darboux approach), • to describe certain phenomenons with the help of the matrix algebra, • to solve the systems of linear equations by means of Gauß' elimination technique.

Lectures
Tutorials

Summary

The course Mathematics G extends the basic concepts of mathematics and introduces the most important concepts of higher mathematics, i.e., the concept of limit of a function at a fixed point and the derivative of a function (as a special case of limit). Similarly, the course introduces the concept of integration (indefinite and definite integration). All this techniques have extensive applications in economic theories. Moreover, the course discuss also the solvability of systems of linear equations which forms the starting point for description of many problems from economic branche. Besides this facts, the student in the course should learn and fix the accuracy when arguing.

Compulsory literature:

[1] Larson R., Falvo C.D. Elementary Linear Algebra. Houghton Mifflin, Boston, New York, 2008. [2] Tan T.S. Calculus: Multivariable Calculus. Brooks/Cole Cengage Learning, Belmont, 2010. [3] Hoy M., Livernois J., McKenna Ch., Rees R., Stengos T. Mathematics for Economics. The MIT Press, London, 2011.

Recommended literature:

[1] Stewart J.S. Calculus - Concepts and Contexts. Cengage Learning, 2010. [2] Canuto C., Tabacco A. Mathematical Analysis I. Springer Verlag, 2008. [4] Luderer B., Nollau V., Vetters K. Mathematical Formulas for Economists. Springer Verlag, 3rd ed., 2007. [5] Tan T.S. Calculus: Early Transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Conditions for subject completion

Full-time form (validity from: 2006/2007 Winter semester)
Task nameType of taskMax. number of points
Min. number of pointsMax. počet pokusů
Exercises evaluation and Examination Credit and Examination 100 (100) 51
Exercises evaluation Credit 45 (45) 23 2
Písemka Written test 45  23 2
Examination Examination 55  28 3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2009/2010 (B6202) Economic Policy and Administration P Czech Ostrava 1 Compulsory study plan
2009/2010 (B6202) Economic Policy and Administration (7202R020) Economics Journalism P Czech Ostrava 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration (7202R020) Economics Journalism P Czech Ostrava 1 Compulsory study plan
2008/2009 (B6202) Economic Policy and Administration P Czech Ostrava 1 Compulsory study plan
2007/2008 (B6202) Economic Policy and Administration (7202R020) Economics Journalism P Czech Ostrava 1 Compulsory study plan
2006/2007 (B6202) Economic Policy and Administration (7202R020) Economics Journalism P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner