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