Browse Hierarchy MTH5104: Convergence and Continuity

This module introduces some of the mathematical theory behind Calculus. It answers questions such as: What properties of the real numbers do we rely on in Calculus? What does it mean to say that a series converges to a limit? Are there kinds of function that are guaranteed to have a maximum value? The module is a first introduction, with many examples, to the beautiful and important branch of pure mathematics known as Analysis.