Course topics.

Try this with Specialist Mathematics

1. Compare the topic list with the current course outline from your school.
2. Pick a topic you can partly explain and identify the exact part you want to work through.
3. Bring one example of the kind of question or task your school uses.

View Specialist Mathematics resources on ATARMAXXING ↗

Topics in the resource inventory

• Proof by mathematical induction
• Cartesian and polar forms and de Moivre's theorem
• The Argand plane: geometry, loci and regions
• Roots of complex numbers and the roots of unity
• Factorisation of real polynomials over the complex numbers
• Composition of functions and its domain
• One-to-one functions and inverse functions
• Sketching absolute value, reciprocal and rational graphs
• The algebra of vectors in three dimensions
• Lines in three dimensions and closest-point problems
• Scalar and vector products, planes and vector proof
• Systems of linear equations and the geometry of planes
• Trigonometric identities, substitution and inverse trigonometric integrals
• Partial fractions and integration by parts
• Areas between curves and volumes of solids of revolution
• Implicit differentiation
• Related rates, separable differential equations and slope fields
• Polynomial parameterisations, uniform motion and free flight
• Velocity, tangents, speed and arc length of parametric curves
• Trigonometric parameterisations and circular motion