|| MP26020 |
|| MATHEMATICAL PHYSICS |
|| 2006/2007 |
|| Professor Andrew Evans |
|| Semester 1 |
|| Dr Rudolf Winter |
|| Core Physics at Part 1 or MA11210 and MA11010 |
| Course delivery
|| Lecture || 22 1-hour lectures |
|| Practical || 11 2-hour workshops |
|Assessment Type||Assessment Length/Details||Proportion|
|Semester Exam||3 Hours written examination ||70%|
|Semester Assessment|| 4 assignments ||30%|
|Supplementary Exam||3 Hours written examination ||100%|
On completion of this module, students should be able to:
1. Express common physical systems and relationships using the mathematical language of vectors, differential equations and Fourier theory;
2. Use vectors, vector algebra and different co-ordinate systems to solve physical problems in 3-dimensional space;
3. Apply different methods of solution to various types of differential equations;
4. Solve simple eigenvalue problems in the physical sciences;
5. Describe and explain the concepts of Fourier analysis, convolution and correlation and apply Fourier analysis techniques to problems in physical systems.
This module develops a variety of mathematical theories: vector analysis, differential equations and Fourier analysis. These are applied to the modelling of, and solution of problems in, a wide selection of physical situations;electrostatics, magnetism, gravitation, mechanics, thermo-dynamics, plasma physics, atmospherics physics and fluid mechanics.
The module develops a mathematical approach to the modelling of physical systems. It is of fundamental importance for all honours degree schemes in Physics and is appropriate for many honours degree schemes in Mathematics.
Vector analysis: scalar and vector triple products, polar co-ordinates, 3-D scalar and vector fields, gradient, divergence and curl of 3-D fields, vector operators, line integrals, surface integrals.Differential equations: general order ordinary differential equations, simultaneous differential equations, partial differential equations, eigenvalue problems.Fourier analysis: Fourier analysis of signals, complementary parameters (e.g. frequency and time), Fourier transforms, power spectra.
** Recommended Text
Stroud, K. A. (2003.) Advanced engineering mathematics.
Stroud, K. A. (2001.) Engineering mathematics /K. A. Stroud, with additions by Dexter Booth.
This module is at CQFW Level 5