Mathematical Analysis

This module provides an introduction to mathematical analysis building upon the experience of limits of sequences and properties of real numbers gained in G11ACF and calculus studied in G11CAL. It will include limits and continuity of functions between Euclidean spaces, differentiation and integration.

There will be a variety of very important new concepts introduced. We will study these concepts by investigating the properties of numerous examples, and developing the associated theory, with a strong emphasis on rigorous proof.

Abstract concepts and theory and associated careful definitions and rigorous proofs, play a central role throughout pure mathematics.