Revision notes.

Try this with Mathematical Methods

1. Close your notes and write the main idea in two sentences from memory.
2. Reopen the source and correct the first mistake or omission you find.
3. Add one example and one question to test whether you can apply the idea.

View Mathematical Methods resources on ATARMAXXING ↗

Topics in the resource inventory

• Rates of change, first principles and derivatives of power functions
• The chain, product and quotient rules
• Differentiating e^x and e^f(x) and exponential models
• Derivatives of sine, cosine and tangent and periodic models
• Second derivatives, concavity, stationary points and points of inflection
• Discrete probability distributions, expected value and standard deviation
• Bernoulli random variables and their mean and standard deviation
• The binomial distribution: conditions, probabilities, mean and standard deviation
• Indefinite integrals, integration rules and the constant of integration
• Upper and lower rectangle sums and the definite integral as area
• The fundamental theorem of calculus and exact areas
• Integrating rates of change and motion problems
• Natural logarithms, logarithm laws and solving exponential equations
• The graph of y = ln(x) and its transformations
• Differentiating and integrating logarithmic functions
• Probability density functions, mean and standard deviation of continuous random variables
• The normal distribution, z-scores and inverse-normal calculations
• Sampling distributions of the sample sum and sample mean and the central limit theorem
• Confidence intervals for a population mean
• Sample proportions and confidence intervals for a population proportion