Undergraduate Course: Pure & Applied Analysis (Ord) (MATH09011)
Course Outline
School |
School of Mathematics |
College |
College of Science and Engineering |
Course type |
Standard |
Availability |
Available to all students |
Credit level (Normal year taken) |
SCQF Level 9 (Year 3 Undergraduate) |
Credits |
20 |
Home subject area |
Mathematics |
Other subject area |
Specialist Mathematics & Statistics (Ordinary) |
Course website |
http://student.maths.ed.ac.uk
|
Taught in Gaelic? |
No |
Course description |
Syllabus Summary: Sequences and series, uniform convergence, the Riemann integral, convergence of Fourier series, applications, functions and distributions, transform techniques, existence and uniqueness for Partial Differential Equations, fundamental solutions and Green's functions. |
Information for Visiting Students
Pre-requisites |
None |
Displayed in Visiting Students Prospectus? |
Yes |
Course Delivery Information
Not being delivered |
Summary of Intended Learning Outcomes
The following are the learning objectives for the Honours version, MAT-3-PAA; for this (Ordinary) version there is more emphasis on the technical, rather than conceptual elements, which will be reflected by a different examination.
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.
5. Understanding basic Harmonic Analysis techniques and their use in PDEs
|
Assessment Information
Examination only.
|
Special Arrangements
None |
Additional Information
Academic description |
Not entered |
Syllabus |
Not entered |
Transferable skills |
Not entered |
Reading list |
Not entered |
Study Abroad |
Not entered |
Study Pattern |
Not entered |
Keywords |
Not entered |
Contacts
Course organiser |
Dr Bruce Worton
Tel: (0131 6)50 4884
Email: Bruce.Worton@ed.ac.uk |
Course secretary |
Mrs Kathryn Mcphail
Tel: (0131 6)50 4885
Email: k.mcphail@ed.ac.uk |
|
|