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 Geometry: 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.