Mathematics: Analysis

To understand the basics of the mathematics required in economics, it is important to become familiar with real numbers. The system of real numbers complements the system of rational numbers in such a way as to allow the useful definition of certain fundamental limit processes for differential calculus. Mathematical notions are built up in stages by following a transparent process. In particular by clarifying the vocabulary with definitions and using conventional methods to justify the arguments employed.

Thus, after a brief discussion of the insufficiency of rational numbers, the course will go over the basics of the mathematical formalism, then delve into the notion of real numbers and introduce the concept of limit. This will be used to define derivatives and integrals, which will then be used to lay the foundations of differential calculus and explore some applications to economics.

The analysis developed in this course provides the elements to describe economic exchanges and understand the basics of finance. We will also develop the elements of differential calculus useful in addressing the issue of optimising the use of resources.

In presence

The course will be held in presence. Tutorials will be offered on a regular basis.

There is only one final examination, for which students will be prepared through exercises and tests.