Year 12
Mathematical Methods (Australian Curriculum)
Derivatives of Exponential Functions
Derivatives of Trig Functions
Chain, Product & Quotient Rules
The 2nd Derivative
Applications of Derivatives
Integration
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Intro to Integration and integrating polynomials
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Integration a little bit of theory
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Integration finding the c value
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Integration the reverse chain rule
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Integration resulting in a logarithm
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Integrals of exponentials
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Integration of trig functions
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Integration by recognition updated
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Applications of Integration in motion questions
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The definite integral
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The definite integral signed area
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Area between two curves
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The area under a derivative function
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Trapezoidal Rule Fully explained
Discrete Random Variables
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Discrete Random Variables
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Discrete Random Distributions Expected value
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Probability Distributions Discrete vs continuous random variables
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Discrete Probability distributions 2 Properties of discrete probability distributions
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Discrete probability distribution 3 Graphing the distribution
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Discrete probability distributions 4 Applications
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Discrete random distributions Expected value challenging but important
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Discrete Random Variables including conditional probability
Trigonometric Functions
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how to draw Pascal’s triangle
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Using pascals triangle to calculate combinations
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Binomial distribution Combinations
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Bernoulli sequence
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Binomial distribution introduction
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Developing Binomial Distribution Intuition
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The binomial Probability Formula
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Binomial Probability Distribution formula Worked Example
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Binomial Probability formula at most and at least
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Binomial Distribution on the Casio FX CG50AU
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Binomial Probability Conditional Probability
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Binomial distribution expected value variance and standard deviation
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Construct a Binomial Distribution Graph
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Binomial Distribution finding a sample size
Continuous Random Variables
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Estimating probability of a continuous random variable using data
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The probability Density Function
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Mathematical proof that you do not exist
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Calculating probability using a probability density function
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Proving a function is a probability density function
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unknowns in probability density functions
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Unbounded Probability density functions
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The mean of a continuous random variable
The Normal Distribution
Sampling & Estimation
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Why is sample proportion interesting and important
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Sampling from a small population
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Sampling from a large population
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Sample proportion mean and standard deviation
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Approximating the distribution of sample proportions using the normal distribution
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Confidence Intervals for Population proportion
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Finding a confidence interval on the Casio FXCG50 AU Calculator
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Determining required Sample size for a given Margin of error
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Binomial Approximation to the normal and sample proportion, one question two ways