Geometry is the field of mathematics concerned with studying the shapes, sizes, and positions of objects. This module provides an introduction to the differential geometry of curves and surfaces. The main focus will be on connecting geometric questions with ideas from calculus and linear algebra, and on using these connections to gain a better understanding of all three subjects.

The module will cover the following general topics (see the first chapter of the lecture notes for a more detailed summary):

The background knowledge needed for the module include calculus (differentiation and integration), as well as some basic vector and matrix algebra. Though there will be some proofs, they will not be a central focus of the module.