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Mathematical Methods

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.

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

Please bring a calculator to each session.

Teacher in charge / Caterina Jones
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Caterina is a highly successful Mathematics teacher, with more than 20 years’ teaching experience.

Qualifications: B.Sc., B.Ed., Dip.T.

Session A

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

Please note: sessions are scheduled as normal on October 1 public holiday

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$70.00 per session
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Session B

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 C

Derivatives of trigonometric functions

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

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Session D

The second derivative

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

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Session E

Integration and statisics

Integration

  • Area under a curve
  • Problem solving by integration

Statistics

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

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Session F

Sampling and confidence intervals

  • Continuous random variables – normal distribution
  • The Central Limit Theorem
  • Confidence intervals for means and their interpretation
  • Sample proportions
  • Confidence intervals for proportions and their interpretation

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