hsc MATHs EXTENSION 1 COURSE [47 WEEKS]

Currently scheduled for 2nd February to 13th March 

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

Currently scheduled for 16th March to 24th April 

• Definition of trig functions 
• Inverse 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 27th April to 5th June

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

Currently scheduled for 8th June to 17th July 

• Counting techniques
• Binomial Theorem
• Probability 
• Proof by mathematical induction 

Currently scheduled for 20th July to 11th September 

• Limits 
• Definition of the derivative 
• Proof of famous derivatives
• Basic derivative rules
• Product, quotient and chain rules
• Derivative of inverse trig functions
• 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 14th September till 30th October 

• Definition of the integral
• Computing integrals geometrically
• Trapezoidal rule
• Fundamental theorem of calculus 
• Integration rules and tricks
• Integration by substitution
• t-substitution
• Calculating area and volume using integration
• Vector fields 
• Differential equations 
• Exponential growth and decay problems, Newton's law of cooling ... etc

Currently scheduled for 2nd November to 27th November 

• Vectors 
• Projectile motion

Currently scheduled for 30th November to 25th December. 

• Data Analysis
• Random Variables 
• Normal Distribution
• Binomial distribution