Pure & Applied Analysis (VS1) (U02714)

? Credit Points : 10 ? SCQF Level : 10 ? Acronym : MAT-3-PAAS1

Core course for Honours Degrees in Mathematics and/or Statistics.

Syllabus Summary: Sequences and series, uniform convergence, the Riemann integral, convergence of Fourier series, applications.

Entry Requirements

? This course is only available to part year visiting students.

? This course is a variant of the following course : U01634

Subject Areas

Home subject area

Specialist Mathematics & Statistics (Honours), (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 3rd year

? Delivery Period : Semester 1 (Blocks 1-2)

? Contact Teaching Time : 3 hour(s) per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
18/09/2007	12:10	13:00	Lecture Theatre B, JCMB	KB

All of the following classes

Type	Day	Start	End	Area
Lecture	Tuesday	12:10	13:00	KB
Lecture	Friday	12:10	13:00	KB

? Additional Class Information : Supervision: one hour per week (shared with other 'core' courses), at a time to be arranged with Supervisor.

Summary of Intended Learning Outcomes

1. Understanding the definitions and concepts of convergence, Cauchy sequences, and completeness in R and C.
2. Understanding the notions of open and closed subsets of Rn and their relationship to convergence.
3. Ability to test sequences and series of functions for uniform convergence.
4. Familiarity with the idea that problems of analysis such as convergence of Fourier series can be couched in and resolved using the language of metric spaces.