The notion of limit and convergence are two key ideas on which rest most of modern Analysis. This module aims to present these notions building on the experience gained by students in first year Calculus module. The context of our study is: limits and convergences of sequences and series of real numbers, and sequences and series of functions.
These classical results will be applied to derive properties of continues and differentiable functions. The module will introduce tools that are of importance in applications, for instance, power series expansions of functions, etc.
Prerequisites: (MATH1059 AND MATH1060) OR MATH1056