Analysis 2 (G5139)

15 credits, Level 4

Spring teaching

Analysis 2 continues directly from Analysis 1: studying functions of one variable. We will explore properties of these functions such as being continuous, differentiable and Riemann integrable.

While you may have seen some of these properties already in school, we will also give a mathematical definition of these properties. This enables us to prove theorems, which are true for all such functions.

By using mathematical arguments in these proofs, you will develop skills that will be important for your entire Mathematics degree. You will also look at many examples of functions and explore what these analytical tools can tell us about a particular function, e.g. using the derivatives of a function to get a good idea of the graph of the function, and be able to sketch it.


77%: Lecture
23%: Practical (Workshop)


20%: Coursework (Portfolio, Problem set)
80%: Examination (Unseen examination)

Contact hours and workload

This module is approximately 150 hours of work. This breaks down into about 42 hours of contact time and about 108 hours of independent study. The University may make minor variations to the contact hours for operational reasons, including timetabling requirements.

We regularly review our modules to incorporate student feedback, staff expertise, as well as the latest research and teaching methodology. We’re planning to run these modules in the academic year 2024/25. However, there may be changes to these modules in response to feedback, staff availability, student demand or updates to our curriculum. We’ll make sure to let you know of any material changes to modules at the earliest opportunity.


This module is offered on the following courses: