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Worked Examples and other Handouts

 

Section Handouts
1

Assumed prior knowledge: Trigonometric and hyperbolic functions

Assumed prior knowledge: graph sketching

Series Expansion of ln(1+x)

The History of Complex Numbers

2 Proof of Cramer's Rule

Independent Study Problem: Solving a 2D eigenvalue equation

3

Assumed prior knowledge: Methods of Differentiation

Partial Derivatives Worked Examples

4

Assumed prior knowledge: Methods of Integration

Multiple Integrals Worked Examples

5
6
7

Div, Grad, Curl and Del-squared in different coordinate systems

Curl and Circulation

Del Expansion Rules

8 Integrating Factor ODEs
  2006 Exam Paper for revision session and its solutions

  Supplementary material
 

Not examinable, but you may find the following material on Fourier series and Fourier transforms useful in some of your physics modules:

Lecture notes on Fourier series

Worked examples from these lecture notes

Succinct forms for expressing number sequences in Fourier series

Fourier expansion example from lecture 3

Lecture notes on Fourier transforms

Fourier transform worked examples

 

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