Aug 11, 20231 min readA-Level Integration Cheat Sheet: Essential Results for Your Maths SuccessThere are two key concepts you need to grasp: standard integrals and generalised integrals. Standard integrals, also known as elementary...
Jan 7, 20231 min readGeneral Solutions of Trigonometric Equations (Radians)π rad = 180° Using radian mode on the calculator you can solve an equation and give answers either in decimals or multiples of π. For...
Jan 7, 20231 min readGeneral Solutions of Trigonometric Equations (Degrees)General solution for sine Solve sin(θ)=k where -1≦k≦1 PV = Principal Value = sin⁻¹(k) Example Solve for 0≦θ≦360° the equation Taking...
Dec 27, 20221 min readNormal Approximation to the Binomial Distribution (Year 13)Under certain circumstances we can approximate a binomial distribution (Discrete) by a normal distribution (Continuous). For n large and...
Dec 27, 20222 min readIntroduction to Hypothesis Testing with the Binomial Distribution (Year 12)Suppose you toss a coin, which you believe to be fair, 10 times. Let p = proportion of heads obtained. We say that the Null Hypothesis is...
Dec 26, 20221 min readBinomial Distribution notes (Year 12)The binomial distribution is a special type of discrete probability distribution, used to model a wide variety of situations. Coin...