- The course as it is now
- Information about the exam 2020-21
- Worked solutions to a couple of questions from the notes

- The notes for the course
- Area under the Gaussian curve table
- Tables of Constants, Formulae and Transforms
- Fourier transform video.
Here is an interesting video from the mysteriously named 3Blue1Brown.
It tries to answer the question 'What does the Fourier Transform actually
mean?' Note that the makers of the video are physicists (I would guess)
and so the notation used is slightly different from ours, and their
objectives in using it are also different. They write 2 pi f instead of
omega, they use i instead of j for the square root of -1, and they use g(f)
with a ^, instead of G(omega) for the Fourier Transform of g(t).
Watching it is an instructive way to spend 20 minutes.
- Convolution of two functions can be done either way round
- Poisson/Binomial distribution examples
- Why is 0! equal to 1?
- The
*z*-transform of b^n cos an and b^n sin an - Why is the maximum of the autocorrelation function at tau = 0?
- Laplace transforms of sin at, cos at, exp(-kt) sin at and exp(-kt) cos at
- How Maxwell's equations lead to the Wave Equation
- Coins, dice and cards
- Poisson distribution problems and solutions (external site)
- Examples to do with partial differentiation.
- Summary --- matrices.

Click here for worked solutions to selected past exam questions.

**Note that Fourier series in the trigonometric form was removed from the course
in Autumn 2012.** There are a couple of questions in the past papers that
require you to calculate these. So that you can still use these questions for practice, I suggest
you work the problem as if it said "Find the Fourier series in the complex
form". I have given the solutions in the complex form in the worked
solutions, so that you can check your answers.

Additionally, the **multiple choice questions** from a past paper (with answers)
are available by clicking here. Note that
the course has changed since this paper was set, but most of these
questions are still relevant. Those that are **not** are

- Questions 4, 5 and 6 (vectors has now been removed from the Year 2 course)
- Question 12 (Fourier series in the trigonometric form has been dropped).

Any constructive comments? E-mail me: J.Deane@surrey.ac.uk

J.Deane@surrey.ac.uk December 2020