#
ESF:BKM_MATE Mathematics - Course Information

## BKM_MATE Mathematics

**Faculty of Economics and Administration**

Spring 2020

**Extent and Intensity**- 26/0/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- RNDr. Luboš Bauer, CSc. (lecturer)

Mgr. Lukáš Másilko (seminar tutor)

Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor) **Guaranteed by**- Ing. Mgr. Markéta Matulová, Ph.D.

Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration

Contact Person: Lenka Hráčková

Supplier department: Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration **Timetable**- Sat 29. 2. 9:00–11:50 P103, Sat 14. 3. 9:00–11:50 P103, Sat 28. 3. 12:00–14:50 P103, Sat 16. 5. 12:00–14:50 P104
**Prerequisites**- (
**BKM_VTMA**Mathematics Entrance Test )

Knowledge of high school Mathematics according to the syllabus of the course Mathematics 0, CPM_MAT0 : 1. Basics of logic and set theory 2. Numeric fields 3. Algebra; polynomials 4. Algebraic expressions 5. Functions 6. Elementary functions 7. Equations and inequalities (linear, quadratic, rational) 8. Equations and inequalities (irrational, parametric) 9. Equations and inequalities (exponential, logarithmic) 10. Analytical geometry **Course Enrolment Limitations**- The course is only offered to the students of the study fields the course is directly associated with.

**fields of study / plans the course is directly associated with**- there are 12 fields of study the course is directly associated with, display
**Course objectives**- The aim of the course is to provide students with the basic tools necessary for quantitative analysis in Microeconomics, Macroeconomics and other courses.
**Learning outcomes**- After completing the course, students will be able to

- handle routine mathematical operations and calculations.

- understand basic mathematical concepts

- apply procedures on solving practical problems in real situations.

- figure out how to use mathematical tools in economic, commercial, managerial and financial fields. **Syllabus**- Tutorials (with numbers of chapters in SYD2008) 1. Basic concepts, infinite sequences and series (from 3.1 to 3.6, 10.4-6), functions (4.1-4.3, 5.1-5.3), limit of functions of one variable (7.9 to 7.12)
- 2. Derivatives (6), derivatives in use (7), optimization of function of one variable (8)
- 3. Functions of two variables (11.1-11.11.5-11.7, 13.1 to 13.3) integration (9.1, 9.5 to 9.6), definite integral (9.2 to 9.4, 9.7)
- 4. Linear algebra (15.2 to 15.5), determinant and inverse matrix (16.1 to 16.7), systems of linear equations (15.1, 15.6, 16.8), linear independence (15.9)

**Literature**- SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM and Andrés CARVAJAL.
*Essential mathematics for economic analysis*. Fifth edition. Harlow: Pearson, 2016. xvi, 807. ISBN 9781292074610. info

*required literature*- SYDSÆTER, Knut and Peter J. HAMMOND.
*Essential mathematics for economic analysis*. 3rd ed. Harlow: Prentice-Hall, 2008. xiv, 721. ISBN 9780273713241. info - BAUER, Luboš, Hana LIPOVSKÁ, Miloslav MIKULÍK and Vít MIKULÍK.
*Matematika v ekonomii a ekonomice (Mathematics in Economics and Economy)*. první vydání. Praha: Grada Publishing, a.s., 2015. 352 pp. ISBN 978-80-247-4419-3. info - SIMON, Carl P. and Lawrence BLUME.
*Mathematics for economists*. 1st ed. New York: W.W. Norton, 1994. xxiv, 930. ISBN 0393957330. info - HOY, Michael.
*Mathematics for economics*. 3rd ed. Cambridge, Mass.: MIT Press, 2011. xiv, 959. ISBN 9780262516228. info

*recommended literature*- SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM and Andrés CARVAJAL.
**Teaching methods**- The course is divided into four tutorials. Students are expected to study the literature. There are obligatory auto-correction exercises and homework.
**Assessment methods**- The course is completed by an exam. The total score consists of:

- the points gained in final written test (70%)

- the points for autocorrection exercise (20%)

- the written homework (10%)

Any copying, recording or taking out the tests, use of unauthorized devices and means of communication or other distortions of test objectivity will be considered a failure in the course and a gross violation of study regulations. Consequently, the teacher closes the test (credit) score in IS by grade "F" and Dean initiates disciplinary proceedings. **Language of instruction**- Czech
**Follow-Up Courses****Further comments (probably available only in Czech)**- Study Materials

The course is taught annually.

Information on the extent and intensity of the course: tutorial 12 hodin. **Listed among pre-requisites of other courses**

- Enrolment Statistics (recent)

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