A level maths bag of tricks/useful thingsWatch
C4 - a lot of these cross over with FP2, but not everyone does FP2.
- Quick method of doing partial fractions - cover up method. I found about this while doing questions in the library. I thought I was special. http://www.sinclair.edu/centers/math...lFractions.pdf
- If you have a binomial expansion question where the index in an integer, it may be quicker to use Maclaurin's expansion. This is given on the FP2 section of the formula sheet for Edexcel and it's pretty straight forward.
- If a differential equation can be put into the form
You can multiply by and the left hand side is now the derivative of
- If you have a differential equation in the form
and you are given conditions at x=0, you can use a Laplace transform to solve it in a small number of steps. You have to be very good at using this and requires memorising a few transforms. I cannot find an explanation for why it works right now.
Are you asking for 'cheats' or more efficient memory aids?