Specialist Mathematics

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Please bring a calculator to each session.

We do more than revise key theory and solve past exam questions.
Each session also includes:
• finer points of exam preparation
• how to decode unusual exam questions
• how to answer questions to the marker’s requirements for maximum marks.

Teacher in charge: Paul Urban

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
$70.00

No Places Available

Session added

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
$70.00

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Session added

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
$70.00

No Places Available

Session added

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
$70.00

No Places Available

Session added

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