Mathematics
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Course informations
| Study program level |
Undergraduate |
| Study program |
Management |
| Study program direction |
Informatics management |
| Course year |
1. |
| Course semester |
I |
| Course status |
Core |
| ECTS |
7 |
| Lectures (h) |
30 |
| Excercises (h) |
30 |
| Seminars (h) |
- |
Course objectives
To raise awareness in students of fundamental mathematical operations which can be used in economy analysis.
Course outcomes
- Specify definitions of operations with sets (union, cross section, difference, complement)
- Analyze and conclude which elements belong to a given set with respect to the given operation with the sets
- Determine the function properties and know the given function graph (minimum, maximum, growth, drop)
- Distinguish elementary functions (linear, quadratic, exponential, logarithmic) and list their properties
- Compile complex functions in the economy by applying the composition of functions
- Apply linear and quadratic functions in the economy
- Distinguish and use functions: demand, supply, cost, profit.
- Distinguish between arithmetic and geometric sequences
- Comment and graphically interpret the boundary value of the sequences and the real functions of a random variable.
- Apply the rules of elemental derivation to derivations of complex functions and implicitly assigned functions
- Analyze and estimate what total sales will be, given the current growth rate.
- To formulate how some economic size reacts, more or less intensively, to the change of some other economic size on which it depends.
- To define what a matrix is and its format and some special matrices such as a unit matrix and their properties. Differentiate the determinants from the matrix.
- Calculate the sum, difference and multiplication of real matrices.
- Calculate the second and third order quadrature matrix determinants
- Apply Gauss Jordan's elimination method or Kramer's rule for solving linear equation systems.
Course content
Number sets. Functional dependency: concept of function, characteristics, elemental function, polynomials, economic functions. Definition of boundary value, continuity of function, argument expansion, derivation of function, derivation application, elasticity, flow and graph function. Matrix: definitions, characteristics, computer operations. Determinant: concept and calculation. Systems of linear equations. Solving: by Gauss's elimination method, using determinants and using a matrix. Solvability of the system. An indefinite integral and primitive function. Tabular integrals. Solving unspecified integrals: replacement methods, partial integration methods, and undefined integral rational functions.
