After the long summer before going to college it can be easy to forget some content to maths- or you may be an advanced GCSE mathematician who is up for a challenge. Whichever the reason may be, I have attached a word document copied up from my A- level notes based on completing the square that I was told in my first couple of weeks in college. It has been broken down into multiple steps, easy to follow, explaining different forms of completing the square. As someone who was hardly taught this i...

Topics: normal distribution standard normal distribution finding probabilities using normal continuous distributions working back from probabilities

Topics: integration negative and fractional powers definite integrations fundamental theorem of calculus applying calculus to kinematics inverse chain rule integration by substitution integration by parts separation of variables integration with partial fractions integration as a limit to a sum

Topics: proof, exhaustion, deduction, contradiction, examples of proof

Topics: factor theorem partial fractions partial fractions with repeated factor partial fractions with improper fractions

Topics: logarithms (forms, laws, proofs) simplifying expressions with logs solving logs equations power equations

A-Level Maths Class Notes (AQA) for Year 12 Students Topics include: domain, range, discriminant inverse and composite functions completing the square sketching cubics transformations modulus arc lengths and sector areas trig graphs and values

topics: Trigonometry compound angle identities double angle formulae harmonic formulae single angle approximations trigonometric equations trig equations with harmonic formulae trig equations with compound angle trig equations with reciprocal trig function