# 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.

Can’t make it to our in-person seminars? We also offer this subject as part of our Virtual Seminars.

• ##### 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.

## 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

You’ve already got another session at that time.
\$75.00 per session

## 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

You’ve already got another session at that time.
\$75.00 per session

## 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.

You’ve already got another session at that time.
\$75.00 per session

## The second derivative

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

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\$75.00 per session

## 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

You’ve already got another session at that time.
\$75.00 per session