151-0561/01 – Applied Mathematics (ApMath)

Gurantor departmentDepartment of Mathematical Methods in EconomicsCredits6
Subject guarantorprof. RNDr. Dana Šalounová, Ph.D.Subject version guarantorprof. RNDr. Dana Šalounová, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory
Year2Semesterwinter
Study languageEnglish
Year of introduction2010/2011Year of cancellation
Intended for the facultiesEKFIntended for study typesBachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
GEN02 Mgr. Marian Genčev, Ph.D.
S1A20 prof. RNDr. Dana Šalounová, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

The aim of this subject is to give knowledge about basic practical applications of some notions of advanced mathematics and in this way to help students acquire the mathematical skills they need for reading the technical literature and for further study of quantitative methods in economics.

Teaching methods

Lectures
Tutorials

Summary

The aim of this subject is to give knowledge about basic practical applications of some notions of advanced mathematics and in this way to help students acquire the mathematical skills they need for reading the technical literature and for further study of quantitative methods in economics.

Compulsory literature:

Goldstein, L., Lay, D., Schneider, D. and Asmar, N. Calculus and Its Applications. Pearson, 2010, ISBN 978-0-3-21571304. Sydsaeter, K., Hammond, P. J. Mathematics for Economics Analysis. Pearson Education Limited, 2008, ISBN 978-0-273-71324-1.

Recommended literature:

Anthony, M., Biggs, N. Mathematics for economics and finance. Cambridge. Cambridge University Press, 2003, ISBN 0-521-55113-7. Binmore, K., Davies, J. Calculus. Concepts and Methods. Cambridge. Cambridge University Press, 2001, ISBN 0-521-77541-8. Hoy, M., Livernois, J., McKenna, Ch., Rees, R., Stengos, T. Mathematics for Economics. The MIT Press, London, 2011. Szidarovszky F., Molnár, S. Introduction to Matrix Theory. World Scientific Publishing, 2002, ISBN 981-02-4504-1. Tan,T.S. Calculus: Multivariable Calculus. Brooks/Cole Cengage Learning, Belmont, 2010.

Way of continuous check of knowledge in the course of semester

Tests. Homeworks.

E-learning

Další požadavky na studenta

Tests. Homeworks.

Prerequisities

Subject codeAbbreviationTitleRequirement
151-0560 BasicM Basic Mathematics Compulsory

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Linear equations – solutions of linear equations by row operations, consistent and inconsistent systems, linear equations in matrix form, the input-output model. 2. Calculus of one real variable functions – applying the derivatives to investigation of functions, introduction to optimisation, the derivatives in economics. 3. Further topics in integration – partial fractions, economic applications of integration. 4. Functions of several variables – partial derivatives, multivariable optimisation, constrained optimisation, the Lagrange multiplier method. 5. First-order differential equations – separable differential equation, linear equations with a variable coefficient, continuous-time models. 6. Second-order differential equations – linear equations with constant coefficients, solution of homogeneous equations, non-homogeneous equations.

Conditions for subject completion

Full-time form (validity from: 2010/2011 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100 (45) 51
        Exercises evaluation Credit 45 (45) 23
                Test Written test 45  23
        Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.FormStudy language Tut. centreYearWSType of duty
2019/2020 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 2 Choice-compulsory study plan
2017/2018 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 2 Choice-compulsory study plan
2016/2017 (B6208) Economics and Management (6208R174) European Business Studies P English Ostrava 2 Choice-compulsory study plan
2014/2015 (B6208) Economics and Management (6208R174) European Business Studies P Czech Ostrava 2 Choice-compulsory study plan
2013/2014 (B6208) Economics and Management (6208R174) European Business Studies P Czech Ostrava 2 Choice-compulsory study plan
2012/2013 (B6208) Economics and Management (6208R174) European Business Studies P Czech Ostrava 2 Choice-compulsory study plan
2010/2011 (B6208) Economics and Management (6208R174) European Business Studies P Czech Ostrava 2 Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner