Unit 1

The foundational unit of WACE Mathematics Specialist ATAR, introducing the distinctive abstract and rigorous content that defines the Specialist course. Unit 1 covers combinatorics including the fundamental counting principle, permutations, combinations, and the binomial theorem, vectors in the plane including vector arithmetic, the dot product, and geometric applications, geometry including circle theorems and Euclidean proof, and an introduction to mathematical induction — establishing the proof-based reasoning and abstract algebraic foundations that distinguish Specialist Mathematics from all other WACE courses and are directly extended through Units 2, 3, and 4.

Unit 2

Advanced trigonometry, complex numbers, matrices, and three-dimensional vectors at the Specialist Mathematics level. Unit 2 covers trigonometric identities including compound and double angle formulae, inverse circular functions and their graphs, complex numbers in Cartesian and polar form including arithmetic, the Argand diagram, and De Moivre’s theorem with applications to roots of unity and polynomial factorisation, matrix algebra including matrix arithmetic, determinants, inverse matrices, and applications to systems of linear equations, and vectors in three dimensions including the cross product and vector equations of lines and planes — directly extended in the calculus and mechanics of Units 3 and 4.

Unit 3

Advanced integration techniques, complex numbers, differential equations, and mechanics at the highest level of the WACE mathematics curriculum. Unit 3 covers integration by parts, integration using partial fractions, integration using trigonometric substitution and identities, volumes of solids of revolution, the complex number exponential form and applications to polar curves, first and second order differential equations including separable equations and applications to motion and growth, and mechanics including Newton’s laws of motion, resisted motion, projectile motion using vector methods, and circular motion — assessed in school-based tasks and the WACE external examination.

Unit 4

The culminating unit of WACE Mathematics Specialist ATAR, covering advanced proof, further mechanics, and rigorous statistical inference at the highest level of the WACE mathematics curriculum. Unit 4 covers mathematical induction extended to inequalities and more complex results, further mechanics including simple harmonic motion and coupled systems, statistical inference for a population mean using the t-distribution and z-distribution, confidence intervals for a population mean, hypothesis testing, and a comprehensive synthesis of all Specialist Mathematics content in preparation for the WACE external examination — the most technically demanding unit in the course, requiring mastery of all prior Specialist Mathematics and Mathematics Methods ATAR content.

Get Unit 1, Unit 2, Unit 3, and Unit 4 in a single enrolment — and build complete coverage of the SCSA WACE Mathematics Specialist ATAR syllabus without paying for each unit separately.

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