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

• De Moivre's theorem and roots of unity
• Factorising polynomials over the complex field
• Proving trig identities using De Moivre's theorem
• Mathematical induction for sums and divisibility
• Lines and planes in three-dimensional space
• Cross product and geometric applications in 3D
• Equations of spheres and 3D regions
• Calculus of vector-valued functions
• Projectile motion and uniform circular motion via vectors
• Solving systems of linear equations using Gaussian elimination
• Integration by parts and partial fraction decomposition
• Inverse trig integrals and integration by substitution
• Volumes of solids of revolution (disk and shell methods)
• Areas between curves and PDF applications
• Separable differential equations and slope field analysis
• Implicit differentiation and related rates of change
• Simple harmonic motion via differential equations
• Variable forces and motion with non-constant acceleration
• Distribution of sample means and confidence intervals for μ
• Interpreting and evaluating statistical inference results