MA203      Half Unit
Real Analysis

This information is for the 2019/20 session.

Teacher responsible

Prof Martin Anthony


This course is compulsory on the BSc in Financial Mathematics and Statistics, BSc in Mathematics and Economics and BSc in Mathematics with Economics. This course is available on the BSc in Actuarial Science, BSc in Business Mathematics and Statistics, BSc in Mathematics, Statistics, and Business and BSc in Statistics with Finance. This course is available as an outside option to students on other programmes where regulations permit. This course is available with permission to General Course students.


Introduction to Abstract Mathematics (MA103), or some equivalent giving experience with formal proofs, convergence of sequences and continuity of functions. 

Course content

This is a course in real analysis for those who have already met the basic concepts of sequences and continuity on the real line. Here we generalize these concepts to Euclidean spaces and to more general metric and normed spaces.  These more general spaces are introduced at the start and are emphasized throughout the course.

Topics covered are:




20 hours of lectures and 10 hours of classes in the MT. 2 hours of lectures in the ST.

Formative coursework

Written answers to set problems will be expected on a weekly basis.

Indicative reading

A comprehensive pack of lecture notes will be provided.The following may prove useful:


Exam (100%, duration: 2 hours) in the summer exam period.

Key facts

Department: Mathematics

Total students 2018/19: 175

Average class size 2018/19: 13

Capped 2018/19: No

Value: Half Unit

Guidelines for interpreting course guide information

Personal development skills