FURTHER REAL ANALYSIS

FURTHER REAL ANALYSIS
Course Code
MX 3021
Credit Points
15
Course Coordinator
Dr R Kessar

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

12 week course - 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: 1 two-hour examination (maximum of 100% resit and 80% resit with 20% in-course assessment).