BPM_MTHA Mathematics A

Ekonomicko-správní fakulta
jaro 2022
Rozsah
2/2/0. 6 kr. Ukončení: zk.
Vyučující
Ing. Mgr. Markéta Matulová, Ph.D. (přednášející)
Garance
Ing. Mgr. Markéta Matulová, Ph.D.
Katedra aplikované matematiky a informatiky - Ekonomicko-správní fakulta
Kontaktní osoba: Mgr. Jana Nesvadbová
Dodavatelské pracoviště: Katedra aplikované matematiky a informatiky - Ekonomicko-správní fakulta
Předpoklady
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
Omezení zápisu do předmětu
Předmět je nabízen i studentům mimo mateřské obory.
Mateřské obory/plány
Cíle předmětu
The aim of the course is to provide students with the basic tools necessary for quantitative analysis in Microeconomics, Macroeconomics and other courses
Výstupy z učení
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.
Osnova
  • 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
Literatura
    povinná literatura
  • SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM a Andrés CARVAJAL. Essential mathematics for economic analysis. Fifth edition. Harlow: Pearson, 2016. xvi, 807. ISBN 9781292074610. info
    doporučená literatura
  • SIMON, Carl P. a Lawrence BLUME. Mathematics for economists. 1st Indian ed. New Delhi: Viva Books, 2006. xxiv, 930. ISBN 9788130916002. info
    neurčeno
  • KLEIN, Michael W. Mathematical methods for economics. Second edition. Harlow: Pearson, 2014. ii, 493. ISBN 9781292039183. info
Výukové metody
The course consists of lectures and seminars.
Metody hodnocení
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.
Vyučovací jazyk
Angličtina
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