This was a second year analysis course that I taught at Imperial in 2016/17.

Contents:
• Introduction: Recap, basic topology in ﻿﻿$\mathbb{R}^n$
• Chapter 1: Uniform continuity and convergence
• Chapter 2: Integration in one variable
• Chapter 3: Differentiation of maps $\mathbb{R}^n \to \mathbb{R}^m$
• Chapter 4: Integration in several variables
• Appendix: Differentiation in one dimension