QUANTITATIVE METHODS – Syllabus and General Information

5 CREDITS, WINTER SEMESTER


Aim of the course:

The course Quantitative Methods makes the participants acquainted with basic knowledge and terms
from the area of algebra and mathematics so that the students shall be able to use the introduced
constructions and explained thought and numerical procedures in their future autonomous study.
Further, they will acquire a variety of numerical skills.

Requirements

1)     70% attendance at the seminars (or calculating a mathematical problem or writing a seminar
paper)

2)     Two tests

a)      for 30 points=TEST (on the 6^th of November) and

b)     for 70 points= FINAL EXAM (on the 11^th of December).

 Form of the exam: written. You can gain extra point for tasks and homework.

 Evaluation: A (100-90 points), B (89-80), C (79-70), D (69-65), E (64-60), F (59-0).



Content

1. Motivational introduction, history of mathematics

2. Algebraic Expressions

3. Equations and Inequalities

4. Matrix calculus

5. Determinants

6. Systems of linear algebraic equations

7. Sequences, limits of sequences

8. Basic functions of one real variable

9. Limits of functions of one real variable

10. Differential calculus of functions of one real variable

11. Using differential calculus of functions of one real variable

12. Integral calculus of functions of one variable and its applications

13. Application of differential and integral calculus in economics and management

Literature:


  * PRICHET, G. D. and J. C. SABER. Mathematics with applications in management and economics.
Boston, Sydney: IRWIN, Burr Ridge, 2004. ISBN 0-256-09237-0.
  * BRADLEY, T., PATTON, P. Essentials Mathematics for Economics and Business. West Susex: John
Wiley & Sons Ltd, 1998. ISBN 0-471-97511-7.


LECTURE SCHEDULE

1)     (25.9.2023) Entrance test and general information

2)     (2.10.2023) Function (linear, quadratic, logarithm, exponential)

3)     (9.10.2023) Matrix calculus

4)     (16.10.2023) Determinants

5)     (23.10.2023) Sequences, limits of sequences

6)     (30.10.2023) Differential calculus of functions of one real variable


7)     (6.11.2023) TEST (content = 1 – 6 lecture)


8)     (13.11.2023) INDIVIDUAL WORK (topic: Using differential calculus in economy)


9)     (20.11.2023) INDIVIDUAL WORK (topic: Description of macroeconomic indicators of a selected
EU country)


10)  (27.11.2023) Using differential calculus of functions of one real variable


11)  (4.12.2023) Limits of functions of one real variable


12)  (11.12.2023) Final exam the 1^st term


13)  (18.12.2023) Final exam the 2^nd term