BPM_MTHA Mathematics A

Faculty of Economics and Administration
Spring 2025
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
In-person direct teaching
Teacher(s)
Mgr. Bc. Martin Chvátal, Ph.D. (lecturer)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
Guaranteed by
Mgr. Bc. Martin Chvátal, Ph.D.
Division of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Contact Person: Mgr. Jana Nesvadbová
Supplier department: Division of Applied Mathematics and Computer Science – Faculty of Economics and Administration
Prerequisites
BPM_MTH0 Mathematics 0
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 only offered to the students of the study fields the course is directly associated with.
fields of study / plans the course is directly associated with
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
    required literature
  • SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM and Andrés M. CARVAJAL. Essential mathematics for economic analysis. Fifth edition. Harlow: Pearson, 2016, xvi, 807. ISBN 9781292074610. info
    recommended literature
  • SIMON, Carl P. and Lawrence BLUME. Mathematics for economists. 1st Indian ed. New Delhi: Viva Books, 2006, xxiv, 930. ISBN 9788130916002. info
    not specified
  • SYDSÆTER, Knut, Peter J. HAMMOND, Arne STRØM and Andrés M. CARVAJAL. Essential mathematics for economic analysis. 6th edition. Harlow: Pearson, 2021. ISBN 1-292-35928-5. info
  • KLEIN, Michael W. Mathematical methods for economics. Second edition. Harlow: Pearson, 2014, ii, 493. ISBN 9781292039183. info
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.
The course is also listed under the following terms Spring 2022, Spring 2023, Spring 2024.
  • Enrolment Statistics (recent)
  • Permalink: https://is.muni.cz/course/econ/spring2025/BPM_MTHA