Mathematical Methods 4 (Phys Sci) (U01686)

? Credit Points : 10 ? SCQF Level : 8 ? Acronym : MAT-2-mm4

Fourier's theorem, even/odd, half range expansions. Complex form of expansions. Linear algebra point of view. Parseval. Fourier transform: inverse, derivatives and convolution. Plancherel, Heisenberg uncertainty, delta function and Heaviside function. Partial Differential Equations: separation of variables, heat equation and wave equation. d'Alembert's solution. Classification of PDEs. Laplace equation: link to analytic functions, separation in plane polars.

Entry Requirements

? Pre-requisites : Prior attendance at MAT-2-mm3

? Prohibited combinations : MAT-2-SVC, MAT-2-MAM, MAT-mc4, MAT-me4

Subject Areas

Home subject area

Mathematics for Physical Science & Engineering, (School of Mathematics, Schedule P)

Delivery Information

? Normal year taken : 2nd year

? Delivery Period : Semester 2 (Blocks 3-4)

? Contact Teaching Time : 2 hour(s) 30 minutes per week for 11 weeks

First Class Information

Date	Start	End	Room	Area	Additional Information
09/01/2008	12:10	13:00	Lecture Room 6206, JCMB	KB

All of the following classes

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

? Additional Class Information : Tutorials: M at 1110 and 1210 (shared with MAT-2-am4)

Summary of Intended Learning Outcomes

1. The ability to calculate some simple Fourier series and transforms.
2. The ability to use Fourier series and transforms in simple applications, including PDEs and ODEs.