HSC Mathematics Extension 2 - Syllabus & Notes
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Study HSC Mathematics Extension 2 Topics
3D space
3D vectors
Angle between vectors
Applications of mathematical induction
Applying Euler’s formula
Complex numbers
Curves and regions on the complex plane
De Moivre’s theorem
Euler’s formula
Forces and equations of motion
Further mathematical induction
Geometry proofs using vectors
Integration by parts
Integration by substitution
Modulus and argument
Operations on the complex plane
Parallel and perpendicular lines
Partial fractions
Polynomial equations
Projectile motion
Proof by contradiction
Proof by counterexample
Proofs involving inequalities
Proofs involving inequalities and graphs
Proofs involving numbers
Properties of moduli and arguments
Quadratic equations with complex coefficients
Rational functions with quadratic denominators
Recurrence relations
Recursive formula proofs
Resisted horizontal motion
Resisted projectile motion
Resisted vertical motion
Review of 2D vectors
Review of mathematical induction
Roots of complex numbers
Roots of unity
Series and sigma notation
Simple harmonic motion
Square root of a complex number
The Argand diagram
The language of proof
Vector equation of a curve
Vector equation of a straight line
Velocity and acceleration in terms of x
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