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Mathematical Methods

Thank you for your interest in Year 12 Mathematical Methods. 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

Introductory differential calculus

  • Derivatives from first principles
  • Rules of differentiation including chain rule, product rule and quotient rule
  • Deriving local maxima and minima
  • Increasing and decreasing functions
  • Graphing of functions  y = xn

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$70.00 per session
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Session BAvailable

Derivatives of exponential and logarithmic functions

  • Slopes of tangents of the exponential and logarithmic functions
  • Local maxima and minima
  • Application of exponential and logarithmic functions including growth and decay, surge and logistic functions
  • Graphing of y = ln x and y = ex

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$70.00 per session
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Session CAvailable

Derivatives of trigonometric functions

  • Derivatives of trigonometric functions
  • Kinematics: displacement, velocity, acceleration
  • Application of trigonometric functions, including tidal heights and temperature changes
  • Graphing of and sin x and cos x.

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$70.00 per session
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Session DAvailable

The second derivative

  • Relationship between the 1st and 2nd derivatives
  • Optimisation
  • Points of inflection.

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Session EAvailable

Integration and statistics

Integration (integral calculus):

  • Area under a curve
  • Problem-solving by integration

Statistics:

  • Measuring centre and spread of data
  • Discrete random variables – the Bernoulli and Binomial distribution
  • Continuous random variables – normal distribution

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