hsc MATHs ADVANCED COURSE year 11/12 [32 WEEKS]

Currently scheduled for 2nd February to 27th February 

• Sets
• Functions and relations 
• Linear functions 
• Quadratic functions 
• Basic graphing 
• Solving equations and inequalities 

Currently scheduled for 2nd March to 27th March

• Definition of trig functions 
• Sine and Cosine rules 
• Angle of elevation & depression problems 
• Exact triangles
• Radians
• Unit Circle definition
• Trig identities
• Solving trig equations

Currently scheduled for 30th March to 8th May

• Logarithms
• The exponential function
• Arithmetic sequences and series 
• Geometric sequences and series 
• Applications to finance problems

Currently scheduled for 11th May to 3rd July 

• Limits 
• Definition of the derivative 
• Proof of famous derivatives
• Basic derivative rules
• Product, quotient and chain rules
• Tangents & normals
• Stationary points
• Global maximum and minimum 
• Application to optimisation problems
• Applications to finance, growth/decay, motion ... etc
• Applications to curve sketching 

Currently scheduled for 6th July to 31st July

• Definition of the integral
• Computing integrals geometrically
• Trapezoidal rule
• Fundamental theorem of calculus 
• Integration rules and tricks
• Calculating area using integration

Currently scheduled for 3rd August to 11th September 

• Data Analysis
• Probability 
• Random Variables 
• Normal Distribution
• Binomial Expansion