BPM_MATE Mathematics

Faculty of Economics and Administration
Spring 2020
Extent and Intensity
2/2/0. 6 credit(s). Type of Completion: zk (examination).
Teacher(s)
Ing. Mgr. Markéta Matulová, Ph.D. (lecturer)
RNDr. Luboš Bauer, CSc. (seminar tutor)
Ing. Matouš Cabalka (seminar tutor)
Mgr. Bc. Martin Chvátal, Ph.D. (seminar tutor)
Mgr. Eva Janoušková, Ph.D. (seminar tutor)
Ing. Lukáš Kokrda (seminar tutor)
Ing. Pavel Loučka (seminar tutor)
Mgr. Lukáš Másilko (seminar tutor)
Ing. Mgr. Markéta Matulová, Ph.D. (seminar tutor)
Ing. Mgr. Vlastimil Reichel (seminar tutor)
Mgr. David Staněk (seminar tutor)
Guaranteed by
Ing. Mgr. Markéta Matulová, Ph.D.
Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration
Contact Person: Lenka Hráčková
Supplier department: Department of Applied Mathematics and Computer Science - Faculty of Economics and Administration
Timetable
Wed 10:00–11:50 P101, Wed 10:00–11:50 P102
  • Timetable of Seminar Groups:
BPM_MATE/01: Thu 16:00–17:50 P103, L. Bauer
BPM_MATE/02: Thu 12:00–13:50 P303, M. Chvátal
BPM_MATE/03: Thu 8:00–9:50 P303, L. Másilko
BPM_MATE/04: Thu 14:00–15:50 S310, L. Kokrda
BPM_MATE/05: Thu 16:00–17:50 S310, L. Kokrda
BPM_MATE/06: Wed 16:00–17:50 P103, M. Chvátal
BPM_MATE/07: Wed 14:00–15:50 P304, M. Chvátal
BPM_MATE/08: Wed 16:00–17:50 P106, V. Reichel
BPM_MATE/09: Wed 14:00–15:50 P303, P. Loučka
BPM_MATE/10: Thu 18:00–19:50 S310, M. Cabalka
BPM_MATE/11: Thu 10:00–11:50 P403, M. Matulová
BPM_MATE/12: Thu 10:00–11:50 P303, L. Másilko
BPM_MATE/13: Wed 16:00–17:50 P303, P. Loučka
BPM_MATE/14: Wed 12:00–13:50 P302a, M. Chvátal
BPM_MATE/15: Thu 14:00–15:50 P302a, M. Chvátal
BPM_MATE/16: Fri 8:00–9:50 P304, M. Chvátal
BPM_MATE/17: Fri 10:00–11:50 P304, M. Chvátal
Prerequisites
( BPM_VTMA Mathematics Entrance Test )
Knowledge of high school Mathematics according to the syllabus of the course Mathematics 0, CPM_MAT0 :
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
there are 22 fields of study the course is directly associated with, display
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
  • Lectures (with numbers of chapters in SYD2008) 1. Basic concepts, infinite sequences and series (from 3.1 to 3.6, 10.4-6).
  • 2. Functions (4.1-4.3, 5.1-5.3)
  • 3. Limits of functions of one variable (7.9 to 7.12)
  • 4. Derivatives (6)
  • 5. Derivatives in use (7)
  • 6. Optimization of function of one variable (8)
  • 7. Functions of two variables (11.1-11.11.5-11.7, 13.1 to 13.3)
  • 8. Integration (9.1, 9.5 to 9.6)
  • 9. Definite integral (9.2 to 9.4, 9.7)
  • 10. Linear algebra (15.2 to 15.5)
  • 11. Determinant and inverse matrix (16.1 to 16.7)
  • 12. Systems of linear equations (15.1, 15.6, 16.8)
  • 13. Linear independence (15.9)
Literature
    required 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
    recommended literature
  • SYDSÆTER, Knut and Peter J. HAMMOND. Essential mathematics for economic analysis. 3rd ed. Harlow: Prentice-Hall, 2008. xiv, 721. ISBN 9780273713241. info
  • BAUER, Luboš, Hana LIPOVSKÁ, Miloslav MIKULÍK and Vít MIKULÍK. Matematika v ekonomii a ekonomice (Mathematics in Economics and Economy). první vydání. Praha: Grada Publishing, a.s., 2015. 352 pp. ISBN 978-80-247-4419-3. info
  • SIMON, Carl P. and Lawrence BLUME. Mathematics for economists. 1st ed. New York: W.W. Norton, 1994. xxiv, 930. ISBN 0393957330. info
  • HOY, Michael. Mathematics for economics. 3rd ed. Cambridge, Mass.: MIT Press, 2011. xiv, 959. ISBN 9780262516228. 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
Czech
Follow-Up Courses
Further comments (probably available only in Czech)
Study Materials
The course is taught annually.
General note: Přednášky jsou dostupné online a ze záznamu.
Listed among pre-requisites of other courses
The course is also listed under the following terms Spring 2010, Spring 2011, Spring 2012, Spring 2013, Spring 2014, Spring 2015, Spring 2016, Spring 2017, Spring 2018, Spring 2019, Spring 2021.
  • Enrolment Statistics (recent)
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