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Specialist Mathematics

To revise the whole Specialist Maths course, you should attend all the seminars listed below. However, this is not compulsory and you may choose any combination of sessions.

Can’t make it to a session this term? This subject will run again, so stay tuned. Sign up to our newsletter to be notified when the next seminars are available. You’ll also find out about any special offers, short courses and book deals.

Teacher in charge / Paul Urban
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Paul is a highly successful senior Mathematics teacher with more than 30 years’ experience including as a marker for SACE and, more recently, IB Diploma Maths. He will focus you quickly and clearly, with room for personal discussion.

Qualifications: B.Sc. (Hons.), B.Ec.

Session A

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 B

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 C

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 D

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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$70.00 per session
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