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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, short pdf and source. Solutions: ps, pdf, short pdf and source. Orthogonality of the sines and cosines. Oddness, evenness and periodicity.
- Problem Sheet 2: ps, pdf and source. Solutions: ps, pdf and source. Fourier series for the saw tooth function.
- Problem Sheet 3: ps, pdf and source. Solutions: ps, pdf and source. Fourier series for the rectified cosine, sine cubed.
- Problem Sheet 4: ps, pdf and source. Solutions: ps, pdf and source. Complex Fourier series, Fourier transform.
- Problem Sheet 5: ps, pdf and source. Solutions: ps, pdf and source. Fourier transform, Dirac delta function.
- Problem Sheet 6: ps, pdf and source. Solutions: ps, pdf and source. First order linear odes.
- Problem Sheet 7: ps, pdf and source. Solutions: ps, pdf and source. Damped harmonic oscillators.
- Problem Sheet 8: ps, pdf and source. Solutions: ps, pdf and source. Damped harmonic oscillators, forced examples.
- Problem Sheet 9: ps, pdf and source. Solutions: ps, pdf and source. Euler equation. Series solutions.
- Problem Sheet 10: ps, pdf and source. Solutions: ps, pdf and source. Polynomial solutions. Frobenius.
The source is the original LaTeX file used to produce the file along with any figures in xfig, ps and xmaple, multiple files are tarred and gzipped.