OPF:INMNAMAE Mathematics in Economics - Course Information
INMNAMAE Mathematics in Economics
School of Business Administration in KarvinaWinter 2024
- Extent and Intensity
- 2/1/0. 6 credit(s). Type of Completion: zk (examination).
- Teacher(s)
- Mgr. Radmila Krkošková, Ph.D. (lecturer)
- Guaranteed by
- doc. Mgr. Jiří Mazurek, Ph.D.
Department of Informatics and Mathematics – School of Business Administration in Karvina
Contact Person: Mgr. Radmila Krkošková, Ph.D. - Timetable
- Thu 10:35–12:10 VC008
- Timetable of Seminar Groups:
- Prerequisites
- Elementary knowledge of algebra and mathematical analysis.
- Course Enrolment Limitations
- The course is only offered to the students of the study fields the course is directly associated with.
The capacity limit for the course is 50 student(s).
Current registration and enrolment status: enrolled: 47/50, only registered: 0/50 - fields of study / plans the course is directly associated with
- Economics and Management (programme OPF, N_EME)
- Course objectives
- The objective of the course is to provide a student a solid mathematical foundations necessary for other courses in economics.
- Learning outcomes
- A student will be able to understand functions of one and two real variables, find a maximum, minimum, monotonicity and a domain of a function, plot its graph, and solve simple equations.
- Syllabus
- 1. Real function of one real variable
Algebraic functions, transcendent functions, polynomials, roots of the polynomial. Applications in economics: supply and demand functions, equilibrium point in perfect competition, derivative of function, differential Taylor´s theorem, Applications in economics: change rate of function, elasticity of function, approximation of function by polynomial of n-th power, marginal costs, marginal revenues. Course and shape of function, minimization of costs, revenues and profit.
2. Real function of two real variables
Domain of definition, domain of function of two variables, partial derivative, total differential first and second order, tangential hyperplane. Local and constrained extremum of function of two variables. Theorem of Weierstrass of revenues and profit, Lagrange multipliers theorem, method of variable coefficients. Cobb-Douglas production function, maximization of revenues and profits, minimization of costs under perfect competition.
3. Indefinite integral (antiderivative) of function of one real variable
Per-partes integration method, substitution method, integration of partial fractions. Applications in economics: total costs and total revenues. Integration of rational, exponential, logarithmic and goniometric functions.
4. Definite integral of function of one real variable
Riemann integral, Newton-Leibniz formula, improper integral. Applications in economics: calculation of area and volume of geometrical body. Applications in economics: surplus of consumer and producer under perfect competition.
5. Infinite number series and function series
Infinite number successions and series and their convergence. Geometric and power series. Applications in economics: sum of infinite geometric series.
6. Ordinary differential equations
General and particular solution, separation of variables. Linear differential equation of the first order, homogenous differential equation.
- 1. Real function of one real variable
- Literature
- required literature
- CHIANG, C.C. Fundamentals Methods of Mathematical Economics. New York: cGraw-Hill, Inc., 2000. ISBN 0-12-417890-1. info
- Teaching methods
- Lecture, class discussion, seminar
- Assessment methods
- Final written assignment: 80% (80 points) Activity: 10% (10 points) Homeworks: 10% (10 points) To pass the subject a student needs at least 60% (60 points).
- Language of instruction
- English
- Further Comments
- Study Materials
- Enrolment Statistics (recent)
- Permalink: https://is.slu.cz/course/opf/winter2024/INMNAMAE