Year 12 Mathematics Extension 2
An in-progress Year 12 Mathematics Extension 2 pathway for NSW HSC students. Every NSW Extension 2 topic area now has active authored content, with later phases planned for fuller exam coverage.
Units
5
Active lessons
31
Course type
Mathematics Extension 2
Active unit
AvailableProof
4 active lessons
Extension 2 proof techniques covering proof by contradiction, proof by contrapositive, algebraic inequality proofs, and proof by mathematical induction.
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Active unit
AvailableVectors in Three Dimensions
6 active lessons
3D vector operations, dot product and angles, equations of lines, and applied exam-style vector problems.
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Active unit
AvailableComplex Numbers
6 active lessons
Complex number arithmetic, modulus-argument form, Argand diagram geometry, polar form with De Moivre's theorem, roots of unity, and complex polynomials.
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Active unit
AvailableCalculus
9 active lessons
Extension 2 integration techniques: method selection, integration by parts, reduction formulae, partial fractions, t-substitution (Weierstrass), trigonometric identities, completing the square, and partial fractions with irreducible quadratic factors.
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Active unit
AvailableMechanics
6 active lessons
Extension 2 mechanics using calculus: Newton's laws and force resolution, rectilinear motion, simple harmonic motion, uniform circular motion, resisted motion, and projectile motion with air resistance.
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Part of online learning access
Unit overviews are public previews. Individual lessons use the same online learning access gate as the existing Year 12 Advanced course.