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-Bayes Theorem
-Variance of discrete random variable
-Probability density function
-Mean and median of continuous random variables
-Mode, variance, standard deviation of discrete and continuous random variables
-Effect of Liner transformations

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-Equation of regression line and predictions
-Conditional probabilities
-Testing for independent events
-Z-values
-Inverse normal calculations

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-Discrete and continuous data, sample sizes
-Reliability and Bias in Sampling
-Outliers
-Sampling techiques
-Histograms, Cumulative frequency graphs, Quartiles
-Box and Whisker Plots
-Measures of Central Tendency
-Estimation of Mean from Group Data
-Measures of dispersion
-Quartiles of discrete data
-Effects of Constant Change
-Linear correlation of bivariate data
-Pearson's product-moment coefficient
-Scattergrams
-Equation of Regression Lines
-Probability, complementary events and expected outcomes
-Venn, tree, sample space diagrams
-Combined events, probability and independent events
-Discrete random variables and probability distributions
-Expected value for discrete data
-Binomial distribution
-Mean and variance of binomial distribution
-Normal distribution and diagrammatic representation
-Normal probability and inverse normal calculations

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Distance between, and midpoint of, two points

Volume and surface area of 3D solids

Angles between intersecting lines or a line and a plane

Trig ratios (sin, cos, tan)

Sine law (excluding ambiguous case)

Cosine law

Area of triangle - A=12absinC

Applications of right and non-right angled trig (including angles of elevation and depression)

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Polynomial functions, including factor and remainder theorem

Sum and product of the roots of polynomial equations

Rational functions in the form

y=ax+bcx2+dx+e and y=ax2+bx+cdx+e

Odd and even functions

Inverse functions, including domain restrictions and self-inverses

Solving g(x)≥f(x) both graphically and analytically

The graphs of y=fx, y=fx, y=1fx, y=fa+b, y=fx2

Solutions of absolute value equations and inequalities

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Composite function

Identity functions

Quadratic functions including discriminant

Solutions quadratic equations and inequalities

Reciprocal functions

Rational functions in the form

y=ax+bcx+d

Exponential & logarithmic functions

Solving equations both graphically and analytically (including using tech)

Transformations of graphs (translations, reflections, stretches)

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Permutations & combinations

Binomial theorem with negative and fractional indices

Partial Fractions

Complex numbers, the complex plane, polar and Euler form

Complex conjugate roots of polynomial equations

DeMoivre’s theorem

Power and roots of complex numbers

Proof by Induction, contraction, and counterexample

Systems of equations

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Simple deductive proofs

Exponent laws with rational exponents

Log laws

Exponential equations

Sum of infinite geometric series

Binomial theorem (excluding negative and fractional indices)

Pascal’s Triangle and nCr

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Linear functions including parallel and perpendicular

Domain, range, and functional notation

Inverse functions (as a reflection in y=x)

The graph of a function (sketching and using tech to find sums and differences)

Key features of graphs

Points of intersection using tech

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Operations with numbers in the form ax10k

Arithmetic sequences and series

Geometric sequence and series, including financial applications (excluding sum of infinite series)

Exponent laws