| № |
Mathematical content |
Computer skills |
Economic context |
|
Calculus |
| 1 |
Sets and functions |
|
Different ways of specifying dependencies, numeric and other functions, graphs of functions |
Data input and processing, formatting and programming of cells, sequence generation, building different types of diagrams (Excel) |
Initial data analysis skills, demand functions and supply schedules, cobweb model |
| 2 |
Differential calculus of functions of one variable |
|
Approximate estimations of the derivative, plotting the tangent line, approximate calculations using the Maclaurin formula, graphing functions with the numerical investigation of its behavioral |
Performing different calculations, making and editing of graphs (Excel) |
Finding extremum, concept of elasticity |
| 3 |
Integral calculus of functions of one variable |
|
Calculation of a numerical value of definite and improper integrals with an appropriate degree of accuracy |
RStudio console, programming variables, assigning custom functions (R) |
Calculation of the financial flows by density investments, Lorenz curve |
| 4 |
Functions of several variables |
|
Construction of the level’s contour lines and surfaces, calculation of partial derivatives |
Symbolic differentiation (R) |
Production function, utility function, limit values, marginal rates of substitution |
| 5 |
Differential equations |
|
Numerical solutions for differential equations |
Cycles, conditional statements, programming recurrence relations (R) |
Exponential growth and Verhulst-Pearl equation |
|
Linear algebra |
| 6 |
Vectors and matrices |
|
Actions with large vectors and matrices |
Assigning vectors and matrices, vector and matrix operations, types of arrays, multidimensional data, export and import of data (Excel and R) |
Working with large amount of economic data |
| 7 |
Systems of linear algebraic equations |
|
Numerical methods/solutions of linear equation systems, matrix equations |
Computing determinants, inverse matrices, additional packages (R) |
Illustration of the solution to the economic challenges with a large amount of data |
| 8 |
Vector spaces. Eigenvectors, eigenvalues |
|
Numerical determination of the matrix of a linear mapping, eigenvectors and eigenvalues of a linear operator |
Eigendecomposition and singular-value decomposition (R) |
Leontief model |
| 9 |
Linear programming |
|
Main objectives of linear programming, simplex algorithm, transportation theory |
Installing additional packages and working with them (Excel and R) |
Addressing the linear programming problems of economic spectre |
