Mathematical Methods

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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.

Please bring a calculator to each session.

Teacher in charge: Caterina Jones

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 = x


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Session added

Session B – Derivatives of Exponential Functions

  • Slopes of tangents of the Exponential functions
  • Local maxima and minima
  • Application of Exponential functions including growth and decay, surge and logistic functions
  • Graphing of y = eⁿˣ

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Session added

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 added