**Systems of linear equations and vectors.**System of linear equations; Gauss elimination; vectors; operations with vectors; vector space; dimension; basis.**Matrices.**Definition; operation with matrices; rank of a matrix; Fundamental theorem for linear systems; Leontief Input-Output model.**Determinants and special matrices.**Determinants; properties of determinants; transpose of a matrix; identity matrix; inverse matrix; finding the inverse matrix.**Matrix equations, eigenvalues and eigenvectors.**Matrix equations; solving systems of linear equations; eigenvalues and eigenvestors.**Functions.**Definition; demand and supply functions; profit, revenue and cost functions; properties of functions; operations on functions; Polynommials; Horner's scheme; rational functions; trigonometric functions; exponential and logarithmic functions.**Limits.**Continuity; limit; properties of limits; application of limits; asymptotes.**Derivatives.**Definition; basic formulae; rules for computing the derivatives; higher order derivatives; tangent line to a curve; maxima and minima; limits and derivatives; L'Hospital's rule.**Application of derivatives.**Marginal cost, marginal revenue and marginal profit; elasticity of demand; profit maximization in a competitive market; profit maximization in a monopolistic market; taxation in a competitive market.**Integrals.**Indefinite integral; basic formulae; rules for computing indefinite integrals; definite integral; rules for computing definite integrals; improper integral; numerical integration methods; Fundamental theorem of calculus.**Application of integrals.**Consumer's surplus; producer's surplus; continuous income streams.**Taylor's polynomials.**Taylor's polynommial and its application.Repetition.

Repetition.

**Keywords:** Linear algebra; systems of linear equations;
matrices; Leontief Input-Output model; determinants; Gauss
elimination; vector space; eigenvalues and eigenvectors; mathematical
analysis; functions in one variable; limits; derivatives; elasticity
of demand; profit maximization; taxation in a competitive market;
indefinite, definite and improper integrals; consumer's and
producer's surplus; continuous income streams; Taylor's polynomials.