WACE Mathematics Methods Year 12 Notes

These are the 20 revision notes inside the WACE Mathematics Methods Mastery Pack. Open any note to see what it covers before you buy.

1. Euler's number e, the limit (a^h - 1)/h and the derivative of e^x and Ae^(kx)3 · Topic 3.1: Further differentiation and applications

   Exponential functions

2. Derivatives of sin x and cos x and their use in practical problems3 · Topic 3.1: Further differentiation and applications

   Trigonometric functions

3. The product, quotient and chain rules and composite functions3 · Topic 3.1: Further differentiation and applications

   Differentiation rules

4. Second derivatives, concavity, inflection, the increments formula, curve sketching and optimisation3 · Topic 3.1: Further differentiation and applications

   The second derivative and applications of differentiation

5. Indefinite integrals of x^n, e^x, sin x, cos x and f(ax - b), linearity and initial conditions3 · Topic 3.2: Integrals

   Anti-differentiation

6. Area as a limit of sums, signed areas, additivity and linearity of definite integrals3 · Topic 3.2: Integrals

   Definite integrals

7. The signed area function and the fundamental theorem of calculus3 · Topic 3.2: Integrals

   Fundamental theorem

8. Areas under and between curves, total change from a rate, and linear motion3 · Topic 3.2: Integrals

   Applications of integration

9. Discrete random variables: probability functions, expected value, variance and linear changes of scale and origin3 · Topic 3.3: Discrete random variables

   General discrete random variables

10. Bernoulli trials and the binomial distribution: probabilities, mean np and variance np(1 - p)3 · Topic 3.3: Discrete random variables

    Bernoulli distributions / Binomial distributions

11. Logarithms as indices, the log laws and solving index equations4 · Topic 4.1: The logarithmic function

    Logarithmic functions

12. Graphs of y = log_a x and its translations, logarithmic scales and logarithmic models4 · Topic 4.1: The logarithmic function

    Logarithmic functions

13. The natural logarithm: derivative of ln x and ln f(x), and integrals of 1/x and f'(x)/f(x)4 · Topic 4.1: The logarithmic function

    Calculus of the natural logarithmic function

14. Probability density functions, cumulative distribution functions and probabilities as integrals4 · Topic 4.2: Continuous random variables and the normal distribution

    General continuous random variables

15. Expected value, variance and standard deviation of continuous random variables, including uniform and triangular4 · Topic 4.2: Continuous random variables and the normal distribution

    General continuous random variables

16. The normal distribution: features, standardisation, and probabilities and quantiles with technology4 · Topic 4.2: Continuous random variables and the normal distribution

    Normal distributions

17. Random samples, sources of bias and variability of samples from uniform, normal and Bernoulli distributions4 · Topic 4.3: Interval estimates for proportions

    Random sampling

18. The sample proportion p-hat as a random variable: mean, standard deviation and approximate normality4 · Topic 4.3: Interval estimates for proportions

    Sample proportions

19. Confidence intervals for a proportion and the margin of error4 · Topic 4.3: Interval estimates for proportions

    Confidence intervals for proportions

20. Sample size, confidence level and the interpretation of repeated confidence intervals by simulation4 · Topic 4.3: Interval estimates for proportions

    Confidence intervals for proportions