Linear Algebra and Calculus for Economic and Business Problems

The course aims to thoroughly cover the basic principles and methods of calculus and linear algebra that are considered to be essential to the qualified financial analyst/ accountant today. In order to achieve this goal, this course develops aspects of algebra, analysis, and differential and integral calculus, which are the mathematical background of quantitative tools of modern financial and accounting theory.

Objectives

Upon successful completion of the course the student learns the fundamentals of linear algebra and differential and integral calculus. Moreover, the student perceives that these basic principles can, by their application, give answers to actual business problems.

Prerequisites

No prerequisites

Syllabus

In detail, the following sections are covered: Infinite dimensional vector space of real functions, Matrices and Linear Systems: Gauss Algorithm, Vector spaces and subspaces: Bases and Dimension, Linear Transformations, Orthonormalising, Determinants, Eigenvalues and Eigenvectors, Set Theory, Functions of Real Variables, Limit and Continuity, Differential Calculus, Real functions of Several Variables, Optimization of Functions (with and without restrictions), Integral Calculus, Differential Equations.