FURTHER REAL ANALYSIS

FURTHER REAL ANALYSIS
Course Code
MX 3021
Credit Points
15
Course Coordinator
To be confirmed

Pre-requisites

MA 2005

Overview

This course extends the rigorous study of sequences, series and functions that was introduced in MA 2005. In particular, the course will emphasise the interplay between power series and functions. More general sequences and series of functions will also be considered, and the advantages of uniform convergence over pointwise convergence will be discussed. Finally, the course will introduce improper integrals, such as those defining the Gamma and Beta functions, and will explore the links with summation.

Structure

5 one-hour lectures per fortnight and 1 one-hour tutorial per week (to be arranged).

Assessment

1st Attempt: 1 two-hour written examination (80%); in-course assessment (20%).

Resit: If required and permitted by regulations, there will be 1 two-hour written examination. The CAS mark will be based on the maximum of examination (100%) and examination (80%) together with in-course assessment (20%).