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MP4 Methods of Mathematical Physics


Syllabus

The syllabus , contains information an outline syllabus and recommended texts Lecture notes, tutorials, handouts, etc are available in two formats:

Lecture Notes

Any errors in the lecture notes (should!) have been corrected in these online versions. The notes do not contain figures.

N.B. (2005/6)

This year many students will now have taken Complex Variables and Differential Equations
in year 3 and there may possibly be gaps or repetition which will require some adjustment in MoMP.
Thus this year (2005/6) there will be rearrangement of material in the course most notably with the previous division into 19 `lectures' being reduced to 16 `sections'.
Therefore the lecture notes will be updated throughout the course.
A check of whether you have the updated notes is that the headings should be `sections' rather than `lectures'.
Tutorial sheets are currently being corrected and revised.
Check the date on the sheet to see whether it has been updated from 2004.

N.B. (2004/5)

In the old term system the course ended up running over 19 lecture hours of which at least 2 (lectures 2 and 14) were revision.
In the new semester system we have, in S1, 20 whole class hours. I aim to use these to cover the same material as before,
minus the material on WKB method (lecture 9), at a gentler pace.
Additional problem classes are held on Monday afternoons.



Section   1: ( PostScript , PDF )   Introduction; Revision of Infinite Series; Asymptotic Series
Section   2: ( PostScript , PDF )   Revision of Complex Analysis; Analytic Continuation; Residues
Section   3: ( PostScript , PDF )   Gamma function
Section   4: ( PostScript , PDF )   Asymptotic expansions of integrals
Section   5: ( PostScript , PDF )   The Saddle-point method a.k.a. `method of steepest descents'
Section   6: ( PostScript , PDF )   Dirac Delta Function
Section   7: ( PostScript , PDF )   Ordinary differential equations; Green Functions for ODE
Section   8: ( PostScript , PDF )   Power Series Solutions of ODEs; asymptotic expansions
Section   9: ( PostScript , PDF )   Some properties of `Special Functions'
Section   10: ( PostScript , PDF )   Fourier Transformation and ODE
Section   11: ( PostScript , PDF )   Eigenfunction expansion of Green Functions
Section   12: ( PostScript , PDF )   Laplace Transforms
Section   13: ( PostScript , PDF )   Partial Differential Equations
Section   14: ( PostScript , PDF )   Solution of PDEs: the wave equation
Section   15: ( PostScript , PDF )   Solution of PDEs: the diffusion equation
Section   16: ( PostScript , PDF )   Solution of PDEs: Laplace's equation; method of images

Tutorial Sheets

Tutorial 1: ( PostScript , PDF )
Tutorial 2: ( PostScript , PDF )
Tutorial 3: ( PostScript , PDF )
Tutorial 4: ( PostScript , PDF )
Tutorial 5: ( PostScript , PDF )
Tutorial 6: ( PostScript , PDF )
Tutorial 7: ( PostScript , PDF )
Tutorial 8: ( PostScript , PDF )
Tutorial 9: ( PostScript , PDF )

Exam style questions and relevant past exam question

( PostScript , PDF )

For queries about this page contact: Martin Evans
Last updated on November the 30th, 2005 at 18.00
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