#
ESF:BPM_MATE Mathematics - Course Information

## BPM_MATE Mathematics

**Faculty of Economics and Administration**

Spring 2020

**Extent and Intensity**- 2/2/0. 6 credit(s). Type of Completion: zk (examination).
**Teacher(s)**- Ing. Mgr. Markéta Matulová, Ph.D. (lecturer)

RNDr. Luboš Bauer, CSc. (seminar tutor)

Ing. Matouš Cabalka (seminar tutor)

Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)

Mgr. Eva Janoušková, Ph.D. (seminar tutor)

Ing. Lukáš Kokrda (seminar tutor)

Ing. Pavel Loučka (seminar tutor)

Mgr. Lukáš Másilko (seminar tutor)

Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)

Ing. Mgr. Vlastimil Reichel (seminar tutor)

Mgr. David Staněk (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**- Wed 10:00–11:50 P101, Wed 10:00–11:50 P102
- Timetable of Seminar Groups:

*L. Bauer*

BPM_MATE/02: Thu 12:00–13:50 P303,*M. Chvátal*

BPM_MATE/03: Thu 8:00–9:50 P303,*L. Másilko*

BPM_MATE/04: Thu 14:00–15:50 S310,*L. Kokrda*

BPM_MATE/05: Thu 16:00–17:50 S310,*L. Kokrda*

BPM_MATE/06: Wed 16:00–17:50 P103,*M. Chvátal*

BPM_MATE/07: Wed 14:00–15:50 P304,*M. Chvátal*

BPM_MATE/08: Wed 16:00–17:50 P106,*V. Reichel*

BPM_MATE/09: Wed 14:00–15:50 P303,*P. Loučka*

BPM_MATE/10: Thu 18:00–19:50 S310,*M. Cabalka*

BPM_MATE/11: Thu 10:00–11:50 P403,*M. Matulová*

BPM_MATE/12: Thu 10:00–11:50 P303,*L. Másilko*

BPM_MATE/13: Wed 16:00–17:50 P303,*P. Loučka*

BPM_MATE/14: Wed 12:00–13:50 P302a,*M. Chvátal*

BPM_MATE/15: Thu 14:00–15:50 P302a,*M. Chvátal*

BPM_MATE/16: Fri 8:00–9:50 P304,*M. Chvátal*

BPM_MATE/17: Fri 10:00–11:50 P304,*M. Chvátal* **Prerequisites**- (
**BPM_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 also offered to the students of the fields other than those the course is directly associated with.
**fields of study / plans the course is directly associated with**- there are 22 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**- Lectures (with numbers of chapters in SYD2008) 1. Basic concepts, infinite sequences and series (from 3.1 to 3.6, 10.4-6).
- 2. Functions (4.1-4.3, 5.1-5.3)
- 3. Limits of functions of one variable (7.9 to 7.12)
- 4. Derivatives (6)
- 5. Derivatives in use (7)
- 6. Optimization of function of one variable (8)
- 7. Functions of two variables (11.1-11.11.5-11.7, 13.1 to 13.3)
- 8. Integration (9.1, 9.5 to 9.6)
- 9. Definite integral (9.2 to 9.4, 9.7)
- 10. Linear algebra (15.2 to 15.5)
- 11. Determinant and inverse matrix (16.1 to 16.7)
- 12. Systems of linear equations (15.1, 15.6, 16.8)
- 13. 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 consists of lectures and seminars.
**Assessment methods**- The course is completed by an exam. The total score consists of:

- the points gained in four written tests (80%)

- the points for active participation at instructions and homework - autocorrection exercise (20%)

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.

General note: Přednášky jsou dostupné online a ze záznamu. **Listed among pre-requisites of other courses**

- Enrolment Statistics (recent)

- Permalink: https://is.muni.cz/course/econ/spring2020/BPM_MATE