Click on the links below for further reading on each topic:

The Binomial Theorem

• https://www.khanacademy.org/math/precalculus/prob-comb/combinations/v/introduction-to-combinations
  
• http://www.biography.com/people/blaise-pascal-9434176
  
• http://www.mathsisfun.com/pascals-triangle.html

Partial Fractions

There is a good video link below to help with the algebraic long division. I hope that it may clear up some puzzlement about the power order etc.

• https://www.khanacademy.org/math/algebra2/arithmetic-with-polynomials/long-division-of-polynomials/v/polynomial-division
  

Matrices:

A link to a nice visual proof of Rotational Matrices https://www.youtube.com/watch?v=8XRvpDhTJpw

And one for the reflection in a line https://www.youtube.com/watch?v=rZiLrZjxZwE

Differential Equations

Click here for link