B_Ma_1 Mathematics 1

University of Finance and Administration
Winter 2026
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Mgr. Petr Chlebek (seminar tutor)
Ing. Vladimír Nulíček, CSc. (seminar tutor)
Ing. Antonín Voldřich, MSc. (seminar tutor)
Mgr. Michaela Záškolná (seminar tutor)
Guaranteed by
Ing. Antonín Voldřich, MSc.
Department of Computer Science and Mathematics – Departments – University of Finance and Administration
Contact Person: Mgr. Petra Dovhunová
Timetable of Seminar Groups
B_Ma_1/cAPH: Tue 14:00–14:44 S13, Tue 14:45–15:30 S13, V. Nulíček
B_Ma_1/cEKKV: Mon 17:30–18:14 KV301, Mon 18:15–19:00 KV301, P. Chlebek
B_Ma_1/cEK1PH: Wed 14:00–14:44 E230, Wed 14:45–15:30 E230, A. Voldřich
B_Ma_1/cEK2PH: Tue 15:45–16:29 E228, Tue 16:30–17:15 E228, A. Voldřich
B_Ma_1/cFPH: each odd Wednesday 14:00–14:44 E306, each odd Wednesday 14:45–15:30 E306, each odd Wednesday 15:45–16:29 E306, each odd Wednesday 16:30–17:15 E306, V. Nulíček
B_Ma_1/pAPH: each even Monday 10:30–11:14 S24, each even Monday 11:15–12:00 S24, each even Monday 12:15–12:59 S24, each even Monday 13:00–13:45 S24, A. Voldřich
B_Ma_1/pEKFPH: Tue 14:00–14:44 E004, Tue 14:45–15:30 E004, A. Voldřich
B_Ma_1/pEKKV: Mon 15:45–16:29 KV301, Mon 16:30–17:15 KV301, P. Chlebek
B_Ma_1/vEKFPH: Sat 10. 10. 9:45–11:15 E228, 11:30–13:00 E228, Fri 23. 10. 14:00–15:30 S26, 15:45–17:15 S26, Sat 5. 12. 14:00–15:30 E228, 15:45–17:15 E228, Sat 12. 12. 9:45–11:15 E228, 11:30–13:00 E228, M. Záškolná
Prerequisites
There are no prerequisites for this course.
Course Enrolment Limitations
The course is offered to students of any study field.
Course objectives
The aim of the course is to introduce students to the basic concepts of linear algebra, the basic properties of real sequences and real functions of one real variable, limits and the basics of differential calculus of functions of one real variable. 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
After successfully completing the course, students will:
- 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. Vectors and vector spaces.
  • 2. Matrices. Operations with matrices.
  • 3. Matrix rank. Inverse matrix.
  • 4. Determinants. Matrix equations.
  • 5. Systems of linear equations.
  • 6. Sequence. Limit of sequence.
  • 7. Basic functions and their properties.
  • 8. Properties of functions. Inverse functions.
  • 9. Continuity and limit of functions.
  • 10. Derivation and its properties.
  • 11. Derivation of a composite function.
  • 12. Application of the derivative - l'Hospital's rule, equation of the tangent to the graph of a function.
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
  • 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/.
    recommended literature
  • RENSHAW, Geoff. Maths for Economics. Oxford University Press, 2021. ISBN 0198839502. Dostupné z: https://archive.org/details/mathsforeconomic0000rens/page/n747/mode/2up.
  • PEMBERTON, Malcolm a RAU, Nicholas. Mathematics for Economists: An Introductory Textbook. Manchester University Press, 2023. ISBN 9781526173539.
Teaching methods
The course is realised in the form of lecturers 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.Prerequisite for awarding the credit is mandatory attendance at seminars (min. 75% for full-time study, min. 50% for combined study) and active participation in solving problems during instruction. Students with an individual study plan are given an alternative way of fulfilling the credit. Prerequisite for taking the exam is the credit.The exam is exclusively written and is uniform for all fields of study in terms of structure and difficulty; the assignment may have several equivalent variants. The exam is conducted under conditions that exclude unauthorized communication and the use of unauthorized aids; any detected violation is graded F for that exam date.

Language of instruction
Czech
Follow-Up Courses
Further Comments
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 2019, Winter 2020, Winter 2021, Winter 2022, Winter 2023, Winter 2024, Winter 2025.
  • Enrolment Statistics (recent)
  • Permalink: https://is.vsfs.cz/course/vsfs/winter2026/B_Ma_1