Syllabus
The syllabus , contains information an outline syllabus and recommended texts
Lecture notes, tutorials, handouts, etc are available in two formats:
pdf: these
require acroread or some other viewer.
PostScript: these require ghostview or some other PostScript
previewer to see them onscreen.
They should be printable on any PostScript printer.
The PostScript versions should be identical to the
printed lecture notes.
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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:
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Introduction; Revision of Infinite Series; Asymptotic Series
Section 2:
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Revision of Complex Analysis;
Analytic Continuation; Residues
Section 3:
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Gamma function
Section 4:
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Asymptotic expansions of integrals
Section 5:
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The Saddle-point method a.k.a. `method of steepest descents'
Section 6:
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Dirac Delta Function
Section 7:
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Ordinary differential equations; Green Functions for ODE
Section 8:
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Power Series Solutions of ODEs; asymptotic expansions
Section 9:
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Some properties of `Special Functions'
Section 10:
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Fourier Transformation and ODE
Section 11:
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Eigenfunction expansion of Green Functions
Section 12:
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Laplace Transforms
Section 13:
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Partial Differential Equations
Section 14:
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Solution of PDEs: the wave equation
Section 15:
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Solution of PDEs: the diffusion equation
Section 16:
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Solution of PDEs: Laplace's equation; method of images
