electiveHQ

In this module there are two main areas of emphasis. The first emphasis is on techniques for finding limits, derivatives, and integrals of functions (where applicable) and solving optimisation problems using Calculus. The student may have met some of these concepts already, but they will be re-introduced and extended. These techniques are foundational and are used in many modules throughout mathematics, applied mathematics, physics, and statistics. These will mainly be taught through short videos and students can practice their techniques with problem sheets. The second emphasis is on a gentle introduction to the role of definition, theorem, and proof in mathematics, and the mathematical skills required to explore concepts and their relationships to each other. We will do this using the concepts of what it means for a function to be continuous, differentiable, and integrable, as context. This is a first step to developing mathematical skills which will be built on throughout a mathematics degree. These ideas will be discussed face-to-face in lectures and in workshops.