# Mathematics for decision making

## Aims

The aims of the unit are to
introduce mathematical concepts and techniques
learn how to apply these in management and economics.
bring all new incoming students up to a minimum level of mathematic competency before the core economics courses start.

## Prerequisites

Basic mathematics

## Learning Outcomes

After completing the unit the attendees will be able to:
demonstrate a working knowledge of mathematical methods for decision making
acquire a deeper understanding of the mathematics
obtain a sound foundation for later specialisation in the mathematical aspects of economics.
enhance their capability to think clearly and rigorously, as required in their study of economic theory.

## Syllabus

The course reviews basic elements of mathematics, to provide the foundations for subsequent courses. The topics covered are:
Univariate and Multivariate Real Functions
Limits and Continuity
Derivatives and partial derivatives
Applications of the Derivatives
Implicit functions
Integrals
Univariate optimization
Multivariate optimization
Convexity
Matrices
Determinants, Linear Independence and Inverse Matrices
Systems of Equations, Conditions for a maximum
Lagrange function
Differential equations
Phase diagrams
Higher order differential equations

## Content Delivery

Students are expected to carefully study the lecture notes. The final grade will be based on the final examination.

## Coursework And Assignment Details

Not available