Problem Sheets
Everything below is available both as Postscript and pdf. If you are using a Unix machine, Postscript will probably open faster and look better on the screen, otherwise, you should click on the pdf version.
Problem Sheet 1: ps, pdf and source. Two-dimensional integration: iterated integrals.
Problem Sheet 2: ps, pdf, short pdf and source. Two-dimensional integration: iterated integrals, change of coordinates, the Gaussian trick, three-d integration.
Problem Sheet 3: ps, pdf, short pdf and source. Two and three-dimensional integration. grad and div.
Solution Sheet 1, 2 and 3: ps, pdf, short pdf and source.
Problem Sheet 4: ps, pdf, short pdf and source. Three-d integration. Div, grad and curl.
Problem Sheet 5: ps, pdf, short pdf and source. Div, grad and curl, line integrals
Problem Sheet 6: ps, pdf, short pdf and source. Line integrals, conservative vector fields.
Solution Sheet 4, 5 and 6: ps, pdf, short pdf and source.
Problem Sheet 7: ps, pdf, short pdf and source. Conservative vector fields. Surface integrals.
Problem Sheet 8: ps, pdf, short pdf and source. Surface integrals. Green's and Stokes' Theorems.
Problem Sheet 9: ps, pdf, short pdf and source. Surface integrals. Gauss and Stokes Theorems.
Solution Sheet 7, 8 and 9: ps, pdf, short pdf and source.
Problem Sheet 10: ps, pdf, short pdf and source. Fourier series.
Problem Sheet 11: ps, pdf, short pdf and source. Fourier series and Fourier integrals.
Problem Sheet 12: ps, pdf, short pdf and source. Fourier series and integrals. Distributions.
Solution Sheet 10, 11 and 12: ps, pdf, short pdf and source.
Problem Sheet 13: ps, pdf, short pdf and source. Fourier series and integrals. Distributions.
Problem Sheet 14: ps, pdf, short pdf and source. Distributions, ODEs
Problem Sheet 15: ps, pdf, short pdf and source. ODEs
Solution Sheet 13, 14 and 15: ps, pdf, short pdf and source.
Problem Sheet 16: ps, pdf and source. Euler's Equation. Series solutions.
Problem Sheet 17: ps, pdf, short pdf and source. Series solutions, Froebenius, generating functions.
Problem Sheet 18: ps, pdf, short pdf and source. Series solutions.
Solution Sheet 13, 14 and 15: ps, pdf, short pdf and source.
Problem Sheet 19: ps, pdf and source. PDEs, uniqueness.
Solution Sheet 19: ps, pdf and source.
Problem Sheet 20: ps, pdf and source. PDEs, seperation of variables.