B_Ma_2 Mathematics 2

University of Finance and Administration
Summer 2026
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Guaranteed by
PaedDr. Renata Majovská, PhD.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Ivana Plačková
Prerequisites
B_Ma_1 Mathematics 1
The condition for the completion of this course is completion of the course B_MaB_1.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
Students will get familiar with the notions and procedures used in the investigation of the behaviour of functions, with the indefinite, definite and improper integral, with basics of the theory of infinite series and with basics of the theory of functions of more variables. Emphasis is placed on the development of thinking and practical applications, automation of basic skills, understanding of principles, not just formulas, development of logical and analytical thinking and familiarization with applications in economics.
Learning outcomes
At the end of the course students should be able to:
- have not only technical skills, but also the ability to mathematically formulate and solve economic problems,
- reliably handle simple operations and calculations,
- be able to evaluate the logical correctness of a procedure,
- understand basic mathematical concepts and their use in economics and related sciences,
- be able to apply the necessary procedures to solve practical problems in real situations,
- have an overview of how mathematical tools can be used in the economic, business, managerial and financial fields,
- develop the ability to abstraction and modeling, which is key for further study (microeconomics, econometrics, finance.
Syllabus
  • 1. Monotony and local extrema
  • 2. Convexity and concavity, inflection points
  • 3. Behaviour of a function. Taylor polynomial
  • 4. Indefinite integral
  • 5. Integration by parts
  • 6. Integration by substitution
  • 7. Definite integral
  • 8. Improper integral
  • 9. Infinite series
  • 10. Power series
  • 11. Function of several variables, partial derivatives.
  • 12. Local extrema of functions of two variables
Literature
    required literature
  • KLŮFA, Jindřich. Základy matematiky pro Vysokou školu ekonomickou. Vydání I. Osnice: Ekopress, 2021. ISBN 978-80-87865-72-9.
  • MOUČKA, Jiří a RÁDL, Petr. Matematika pro studenty ekonomie: 2., upravené a doplněné vydání. Grada, 2015. ISBN 9788024799148. Dostupné také z: https://www.bookport.cz/kniha/matematika-pro-studenty-ekonomie-1258/.
  • BUDINSKÝ, Petr a HAVLÍČEK, Ivan. Matematika pro vysoké školy ekonomického a technického zaměření. Eupress. Praha: Vysoká škola finanční a správní, 2005. ISBN 80-86754-45-6. Dostupné také z: http://www.digitalniknihovna.cz/mzk/uuid/uuid:3de133f0-edc8-11e6
    recommended literature
  • BAUER, Luboš; LIPOVSKÁ, Hana; MIKULÍK, Miloslav a MIKULÍK, Vít. Matematika v ekonomii a ekonomice. Grada, 2015. ISBN 9788024796512. Dostupné také z: https://www.bookport.cz/kniha/matematika-v-ekonomii-a-ekonomice-836/.
  • PEMBERTON, Malcolm a RAU, Nicholas. Mathematics for Economists: An Introductory Textbook. Manchester University Press, 2023. ISBN 9781526173539.
  • RENSHAW, Geoff. Maths for Economics. Oxford University Press, 2021. ISBN 0198839502. Dostupné z: https://archive.org/details/mathsforeconomic0000rens/page/n747/mode/2up.
Teaching methods
The course is realised in the form of lectures and seminars in full time study and tutorials in part time study.
Compulsory seminar participation is 75% in full-time study, compulsory tutorial participation is 50% in part-time study.
Students with ISP, instead of attending classes, will submit 5 examples on the relevant topic to the IS Drop-in Desk for each missed class.
Dynamic mathematical tools and visualizations will be used in the classes, such as WolframAlpha, GeoGebra, Matrix calculator, which allow for an intuitive understanding of abstract concepts. AI will be involved as a personal mathematical tutor.
Assessment methods
The course is completed with a credit and an exam. Passing a written test (min. 60%) is required to award the credit. Prerequisite for taking the exam is the credit. The exam consists of a written part and a verbal part; prerequisite for taking the verbal part of the exam is to pass the written part (min. 50%).
Language of instruction
Czech
Further Comments
The course can also be completed outside the examination period.
The course is also listed under the following terms Summer 2020, Summer 2021, Summer 2022, Summer 2023, Summer 2024, Summer 2025.
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