School of Mathematics
Module MA2331 - Equations of mathematical physics I
2011-12 (SF Mathematics, SF Theoretical Physics, JS & SS Two-subject
Moderatorship
)
Lecturer: Prof. D. McManus
Requirements/prerequisites:
Duration: Michaelmas term, 11 weeks
Number of lectures per week: 3 lectures including tutorials per week
Assessment:
ECTS credits: 5
End-of-year Examination:
This module will be examined jointly with MA2332
in a 3-hour examination in Trinity term,
except that those taking just one of the
two modules will have a 2 hour examination.
However there will be separate results for MA2331 and MA2332.
Description:
(Preliminary.)
Vector analysis;
Theorems of Gauss and Stokes;
Fourier series and Fourier integrals;
Ordinary Differential Equations;
Hermite polynomials, Bessel Functions.
Objectives:
Introduction to basic techniques of applied mathematics, with
applications.
Learning
Outcomes:
On successful completion of this module, students will be able to:
- compute the real and complex Fourier series of a given periodic function;
-
evaluate the Fourier transform of a given non-periodic function;
-
evaluate integrals containing the Dirac delta distribution;
-
compute the gradient of a given scalar field and the divergence and
curl of a given vector field;
-
calculate line and surface integrals;
-
apply their knowledge to relevant problems in mathematics and physics.
Nov 11, 2011
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On 11 Nov 2011, 15:53.