Mathematics for Business and Finance

Linear algebra: Linear systems, Gauss and Gauss-Jordan algorithms, Vectors, Matrices, Determinants. Functions with one dimensional variables: Limits, Continuity, Exponential functions, Logarithmic functions, Financial functions, Derivatives, Integrals. Applications of functions with one dimensional variables to finance and economic analysis (production functions, consumption functions, utility functions, etc.).

Objectives

After completing the course, students should have acquired the necessary knowledge and skills to: 1) Watch fluently all other curriculum subjects that require mathematical knowledge. 2) To use the tools of mathematics in basic economic analysis problems. 3) Can continue successfully graduate studies, those of them aim high.

Prerequisites

There aren't

Syllabus

The course consists of three basic modules groups: 1. Differential calculus of functions of one variable: Limits, continuity, derivatives, applications in economic analysis problems. 2. Integral calculus of functions of one variable Indefinite and definite integral. The definite integral as area. Infinite completion intervals. Financial integrals applications. 3. Linear Algebra. Linear equations. The Gauss and Gauss-Jordan algorithms. Homogeneous systems. Applications of linear systems. Operations with vectors, scalar product, linear dependence and independence, operations with tables, inversion, computing determinants, basic properties, their use in inversion tables and linear systems solving.