# 151-0401/04 – Mathematics B (MBKS)

 Gurantor department Department of Mathematical Methods in Economics Credits 5 Subject guarantor Mgr. Marian Genčev, Ph.D. Subject version guarantor Mgr. Marian Genčev, Ph.D. Study level undergraduate or graduate Requirement Compulsory Year 1 Semester summer Study language Czech Year of introduction 2010/2011 Year of cancellation 2020/2021 Intended for the faculties EKF Intended for study types Bachelor
Instruction secured by
LoginNameTuitorTeacher giving lectures
HRU61 RNDr. Jana Hrubá, Ph.D.
KUB33 Mgr. Aleš Kubíček
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Part-time Examination 6+8

### Subject aims expressed by acquired skills and competences

Knowledge, comprehension The student will be able... - to solve the systems of linear equations, to control basic terminology and related applications - to explain the concept of the primitive function and indefinite integral, to control the basic rules, formulas and techniques of integration - to define the definite integral (Darboux construction), to compute the definite integral with the help of Newton-Leibniz formula, to control the related basic geometric and economic applications - to define real functions of two real variables, to find the domain of functions of two variables and its visualization, to give the overview of basic functions of two variables used in economics, to explain the concept of homogenous functions of order 's' and to give the connections to economics - to define and to compute the partial derivatives with the help of their definitions and with the help of rules and formulas, to apply the partial derivatives for determining of local extremes (Hessian matrix), to define and interpret local extrema in a correct way, to discuss local extrema by means of their definition (inequality-type conditions, i.e., without the Hessian matrix), to find constrained extremes (Lagrange's multiplier) - to distinguish and to solve the basic types of differential and difference equations of 1st and 2nd order, to state the basic application possibilities in economics - to control the principles of difference calculus in connection with the monotonicity and dynamics of real sequences, to explain the connection between summation and difference

### Teaching methods

Lectures
Individual consultations
Tutorials

### Summary

The aim of the subject is to get acquainted with the basic knowledge of advanced mathematics, which is necessary for further studies of quantitative methods in economics. The subject’s structure and nature themselves have their importance as they help to develop logical thinking as well as the ability to enunciate thoughts accurately and to give clear argumentation when solving the practical problems. Formal prerequisites: Mathematics A

### 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. [3] Luderer B., Nollau V., Vetters K. Mathematical Formulas for Economists. Springer Verlag, third edition, 2007. [4] Tan T.S. Calculus: Early Transcendentals. Brooks/Cole Cengage Learning, Belmont, 2011.

### Way of continuous check of knowledge in the course of semester

The course can be accomplished only in the case if the following two conditions are satisfied: (1) the elaboration of all requests assigned by the teacher, (2) the accomplishment of the written exam evenly compiled from the curriculum.

### Other requirements

According to teacher's instructions.

### Prerequisities

Subject codeAbbreviationTitleRequirement
151-0400 MatKomb Mathematics A Compulsory

### Co-requisities

Subject has no co-requisities.

### Subject syllabus:

The aim of the subject is to get acquainted with the basic knowledge of advanced mathematics, which is necessary for further studies of quantitative methods in economics. The subject’s structure and nature themselves have their importance as they help to develop logical thinking as well as the ability to enunciate thoughts accurately and to give clear argumentation when solving the practical problems. After successful and active graduation of subject • will know: count integral indeterminate, definite and improper, find extrems of function of two variables and solve differential equations of first order, • profit: basic knowledge from integral calculus, about function of two variables and about differential equations, • will be able: use mathematics as instrument for better comprehension of economy.

### Conditions for subject completion

Conditions for completion are defined only for particular subject version and form of study

### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2020/2021 (B6202) Economic Policy and Administration (6202R055) Public Economics and Administration K Czech Ostrava 2 Compulsory study plan
2018/2019 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2018/2019 (B6202) Economic Policy and Administration K Czech Valašské Meziříčí 1 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration K Czech Valašské Meziříčí 1 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2017/2018 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2017/2018 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration K Czech Valašské Meziříčí 1 Compulsory study plan
2016/2017 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2016/2017 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2015/2016 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2015/2016 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2015/2016 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2015/2016 (B6202) Economic Policy and Administration K Czech Valašské Meziříčí 1 Compulsory study plan
2014/2015 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2014/2015 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2014/2015 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2013/2014 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2013/2014 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2013/2014 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2012/2013 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2012/2013 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2012/2013 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2011/2012 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan
2011/2012 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2011/2012 (B6208) Economics and Management K Czech Ostrava 1 Compulsory study plan
2010/2011 (B6202) Economic Policy and Administration K Czech Ostrava 1 Compulsory study plan
2010/2011 (B6202) Economic Policy and Administration K Czech Šumperk 1 Compulsory study plan

### Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner
Subject block without study plan - EKF - K - cs 2019/2020 Part-time Czech Optional EKF - Faculty of Economics stu. block