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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 A

Complex numbers with polynomials

  • Understanding complex numbers and their operations; Cartesian and polar form and properties of complex numbers
  • Connection of complex numbers to 2D vectors and linear transformations of the plane; graph sketching; triangle inequality

 

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$70.00 per session
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Session BAvailable

Functions; Induction; basics of Vector geometry in 2 & 3 dimensions

  • First half is problem-solving of the composition of functions, domain & range; one-to-one condition for inverse functions and sketching graphs; Principle of Mathematical Induction
  • The second half is operations with vectors including addition, subtraction, scalar multiplication, scalar product and vector product.

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$70.00 per session
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Session CAvailable

Applications of vectors

  • Equations of lines and planes
  • Vectors moving over time; uniform motioned object in free flight
  • Finding angles between lines; a line and a plane; planes

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Session DAvailable

Integration techniques and applications

  • Basic rules derived from the fundamental theorem of calculus
  • Integration by substitution and parts
  • Using partial fractions

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Session EAvailable

Rates of change and differential equations

  • Related rates over time
  • Differential equations (definition) and their solutions
  • All the meaning of the derivative of a function

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