#
ESF:BPM_MTHA Mathematics A - Course Information

## BPM_MTHA Mathematics A

**Faculty of Economics and Administration**

Spring 2022

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

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

Contact Person: Mgr. Jana Nesvadbová

Supplier department: Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration **Prerequisites**- Knowledge of high school Mathematics: 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**- Business Management and Finance (programme ESF, B-BMF)
- Economics and Public Policy (programme ESF, B-EPP)
- Multidisciplinary studies (programme CST, KOS)
- Multidisciplinary studies (programme ESF, KOS)
- Multidisciplinary studies at Faculty of Economics and Administration (programme CST, KOS)

**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**- 1. Basic concepts, infinite sequences and series
- 2. Functions
- 3. Limits of functions of one variable
- 4. Derivatives
- 5. Derivatives in use
- 6. Optimization of function of one variable
- 7. Functions of two variables
- 8. Integration
- 9. Definite integral
- 10. Linear algebra
- 11. Determinant and inverse matrix
- 12. Systems of linear equations
- 13. Linear independence

**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*- SIMON, Carl P. and Lawrence BLUME.
*Mathematics for economists*. 1st Indian ed. New Delhi: Viva Books, 2006. xxiv, 930. ISBN 9788130916002. info

*recommended literature*- KLEIN, Michael W.
*Mathematical methods for economics*. Second edition. Harlow: Pearson, 2014. ii, 493. ISBN 9781292039183. info

*not specified*- 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**- English
**Further Comments**- The course is taught annually.

The course is taught: every week.

- Enrolment Statistics (recent)

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