VCE Maths Methods Podcast

Expanding polynomials with repeated factors using the binomial expansion. Includes a quick introduction to combinations.

Finding the equation of an exponential or logarithmic equation based on the points and asymptotes.

Find the total from a rate, Anti-differentiation, Rules for anti-differentiation, Examples of anti-derivative functions, Finding the original function, Area under a curve - integration, Signed area

Relations, Set rules & symbols, Sets of numbers, Sets & intervals, Functions, Relations, Function notation, Hybrid functions, Hyperbola, Truncus, Square root, Circles, Inverse functions

Probability, Tree diagrams, Lattice diagrams, Venn diagrams, Karnough maps, Probability tables, Union & intersection rules, Conditional probability, Markov chains

Introduction to matrices , Addition & subtraction, Scalar multiplication, Matrix multiplication, The unit matrix, Matrix division - the inverse matrix, Using matrices.

Differentiation by first principles, Differentiation of polynomials, Examples of derivative functions & gradients, Graphs of derivative functions, Tangents, Normal lines, Finding stationary points

Rates of change, Average rate of change, Instantaneous rates of change, Rates of change from graphs, Graphs of motion

Radians & degrees, Sin, cos & tan, The unit circle, Values of sin x , cos x & tan x

Logarithms, Log rules, Solving logarithmic equations, Graph of a logarithmic function