**MATHEMATICS I **

Major: Business Administration (BA)

Status: Required subject

Period: First year, First semester

ECTS credits: 5

Class hours; 60 (30 lectures and 30 seminars)

Language: Bulgarian

Requirements:

Prerequisites: Admission exam in Mathematics, Introductory course in Mathematics

**Course Content:**

*Analytical G**eometry*: the concept of curve equation, coordinate transformation and elementary problems; straight line and second-degree curves in the plane; example of linear programming; analytical geometry in the space; examples from the theory of securities portfolio. *Linear algebra:* linear vector spaces; linear dependence and basis; sets of linear equations; linear transforms and matrices; scalar product; quadratic forms; Leontev models. *Real numbers*, sequences and limits. *Calculus (**functions of** **a single real variable)*: limits; continuous functions; derivatives and differentials – definition, analytical and geometrical meaning; derivatives and study of functions; Taylor expansion; the concept of risk and camber. *Elementary** **models** **in Economics*.

**Aims of the course:**

Mathematics I course is designed to acquaint students of Economics with some basic information from analytical geometry, linear algebra and calculus thus creating practical skills to solve a variety of tasks.