WACE Mathematics Specialist · Free preparation planner
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Moves from Cartesian to polar form: modulus and argument identities, multiplication and division as rotation and dilation, de Moivre's theorem for integral powers, loci and regions in the Argand plane, nth roots of unity and of complex numbers, and the factor, remainder and conjugate root theorems for solving real polynomial equations.
Composition of functions and when it is defined, one-to-one functions and inverses with the reflection property, absolute value, the graphs of 1/f(x), |f(x)| and f(|x|), and sketching rational functions of low degree with vertical, horizontal and oblique asymptotes.
3D vector algebra and proof, spheres, vector equations of lines, segments, curves and planes (normals from the cross product), systems of three linear equations with their three solution cases and geometric meaning, and vector calculus for motion including projectile and circular motion.
Integration using the sin^2, cos^2 and tan^2 identities, substitution u = g(x), the integral of 1/x and f'(x)/f(x), and partial fractions; areas between curves in x or in y, volumes of solids of revolution about either axis, and numerical integration with technology.
Implicit differentiation, related rates and the increments formula; separable first-order differential equations and slope fields; formulating growth models including, but not limited to, the logistic equation; and rectilinear motion with variable acceleration, v dv/dx and simple harmonic motion.
The sample mean as a random variable with mean mu and standard deviation sigma/sqrt(n), its approximate normality for large n, approximate confidence intervals x-bar +/- z s/sqrt(n) for a population mean, interval width and sample size, and what intervals do and do not tell you.
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These links come from this subject’s existing official-paper archive. A listed year is the document’s year, not a claim that it matches the 2026 course. Written papers may cover only part of your assessment; use the official requirements for practical, performance and folio components.
Mathematics Specialist ATAR Course Year 12 Syllabus (for teaching from 2025)
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Check current requirements and course options: https://senior-secondary.scsa.wa.edu.au/syllabus-and-support-materials/mathematics/mathematics-specialist
Subject archive: https://atarmaxxing.com.au/subjects/wace-maths-specialist/papers