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Specialist Mathematics

Thank you for your interest in Year 12 Specialist Mathematics. To revise as much as possible,  it is recommended to attend all the seminars listed below. However, this is not compulsory and you may choose any combination of sessions.

Session AAvailable

Functions & sketching graphs

  • Composition of functions including domain and range
  • One-to-one functions, their inverses and graphs of each
  • Sketching graphs including absolute value functions, composition involving absolute value and reciprocal functions, rational functions and behaviour near asymptotes

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$70.00 per session
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Session BAvailable

Complex numbers

  • Derivation, definition (Cartesian form) & basic algebra
  • Review of polynomials
  • Polar form and DeMoivre’s Theorem
  • Geometry of complex numbers and the locus of equations

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$70.00 per session
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Session CAvailable

More complex numbers with induction

  • Principle of Mathematical Induction (PMI)
  • Proofs of complex number properties (including the use of PMI)
  • Algebra of complex numbers in polar form
  • Application of De Moivre’s Theorem to finding roots of complex numbers and geometric description of these roots

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$70.00 per session
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Session DAvailable

Vector Geometry in 2 & 3 Dimensions

  • Basic concept of scalars and 2D & 3D vectors together with the geometry and algebra of vectors
  • Operations with vectors including addition, subtraction scalar multiplication and the product of vectors in 2 different ways
  • Parallel and perpendicular vectors
  • Problem-solving with 2D and 3D vectors

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