
Notes.
Note 1: Conservative fields: pdf, short pdf, ps, short ps or tarred source. Lecture Notes from Chris Ford.These are notes from Chris Ford who taught the course in 2003/4 and 2004/5. Vector potentials: pdf, ps or tex (not latex) source. Lecture Notes from John Kearney.These are notes from John Kearney who took the course in 2005/6 and has been very kind in sending me notes to post here. Part 3: pdf, ps, short pdf, or latex source. Lecture Notes.
These notes are in draft form, there are mistakes and things may not be explained in the best way. I hope that they are nonetheless useful. To people in the class I am offering a bounty of 50c for typos, excluding the use of US rather than local spelling and excluding punctuation around equations, 2 euro for other mistakes and between 1 euro and 5 euro for accepted suggested improvements. I am also happy to negotiate for LaTeX notes that are complimentary to what is here. I have not done diagrams yet and so there are scans of handdrawn diagrams available Part I.1: Vector calculus, the scalar field, integrating in twodimensions. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.1.13 231.I.46 and 231.I.78 Part I.2: Threedimensions. Vector fields, grad and div. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.2.14. Part I.3: Curl. Vector identities. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.3.1. Part I.4: Line integrals, conservative fields. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.4.12 231.I.4.35 Part I.5: Surface integrals, Stokes' Theorem and Green's Theorem. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.5.12 231.I.5.36 231.I.5.78 231.I.5.9 231.I.5.1011 Part I.6: Gauss's Theorem, vector potentials, line and surface integrals of scalars. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.I.6.14 231.I.6.5. Part II.1: Fourier series, complex series, Parseval's theorem. pdf, short pdf, ps, short ps or LaTeX source. Part II.2: Fourier integrals. pdf, short pdf, ps, short ps or LaTeX source. Part II.3: Distributions. pdf, short pdf, ps, short ps or LaTeX source. Part II.4: Distributions and Fourier integrals. pdf, short pdf, ps, short ps or LaTeX source. Part III.1: Ordinary differential equations: linear first order, second order homogenous. pdf, short pdf, ps, short ps or LaTeX source. Part III.2: Ordinary differential equations: second order inhomogenous. pdf, short pdf, ps, short ps or LaTeX source. Part III.3: Ordinary differential equations: Wronskian, Euler's equation. pdf, short pdf, ps, short ps or LaTeX source. Part III.4: Series solutions, Hermite equation. pdf, short pdf, ps, short ps or LaTeX source. Part III.5: Froebenius method, Bessel equation and Fuchs theorem. pdf, short pdf, ps, short ps or LaTeX source. Part III.6: Hermitian operators. pdf, short pdf, ps, short ps or LaTeX source. Part IV.1: Partial differential equations: introduction and uniqeness and mean value theorems for the Laplace equation. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.IV.1.14. This is an uncorrected proof. Part IV.2: Partial differential equations: seperation of variables. pdf, short pdf, ps, short ps or LaTeX source. Pictures: 231.IV.2.14. This is an incomplete and uncorrected proof. File conversion note
I am sometimes asked how I make various parts of my online teaching notes, for example, people ask how to make the short pdf documents etc. I don't think I do any of these things the best way, in particular, I never manage to pipe as much as I feel I should. Anyway, here is a short list:
