Revision notes.

Try this with Specialist Mathematics

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 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