Topic 1: Further Differentiation and Applications 3
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Concave up and Concave down Part 1: 2 useful definitions
Concave up and Concave Down Part 2 A more useful definition
Concavity and the second derivative
Points of Inflection and the 2nd derivative
The 2nd Derivative test
Sketching Functions with the second derivative and Points of Inflection
Introduction to Kinematics
Applications of Integration in motion questions
Optimisation when the function is unknown
Topic 2: Trigonometric Functions 2
Trig Ratios fast
The Sine Rule Fast
The sine rule ambiguous case
The cosine rule
Area of a triangle using trigonometry
True Bearings
Bearings and Trigonometry an example
How to Draw the Diagrams for Trig Applications Questions (Bearings and Elevation/Depression
Topic 3: Binomial Distribution
Bernoulli sequence
Binomial distribution introduction
Developing Binomial Distribution Intuition
The binomial Probability Formula
Binomial Probability Distribution formula Worked Example
Binomial Probability formula at most and at least
Binomial Distribution on the Casio FX CG50AU
Binomial Probability Conditional Probability
Binomial distribution expected value variance and standard deviation
Construct a Binomial Distribution Graph
Binomial Distribution finding a sample size
Topic 4 : Continuous Random Variables & the Normal Distribution
Estimating probability of a continuous random variable using data
The probability Density Function
Mathematical proof that you do not exist
Calculating probability using a probability density function
Proving a function is a probability density function
unknowns in probability density functions
Unbounded Probability density functions
The mean of a continuous random variable
Calculating percentiles from a probability density function
Calculating variance and standard deviation of a continuous random variable
The Cumulative Probability Distribution Function
The normal distribution Introduction
Determining normal probabilities on the casio fx cg50AU
The Inverse Normal Distribution on the Casio FX CG50AU
A tricky normal distribution question
The Normal Approximation to the binomial distribution
Using z scores to standardise and compare values
Topic 5: Interval Estimates for Proportions
Why is sample proportion interesting and important
Sampling from a small population
Sampling from a large population
Sample proportion mean and standard deviation
Approximating the distribution of sample proportions using the normal distribution
Confidence Intervals for Population proportion
Finding a confidence interval on the Casio FXCG50 AU Calculator
Determining required Sample size for a given Margin of error
Binomial Approximation to the normal and sample proportion, one question two ways
