Circular Functions
	The Reciprocal Circular Functions
Vectors
	Introduction to vectors
	Resolution of a vector into rectangular components
	Scalar product of vectors
	Vector projections
Differentiation and rational functions
	Differentiation (Specialist Maths)
	Derivatives of x = f(y)
	Derivatives of inverse circular functions
	Second derivatives
	Implicit differentiation
Techniques of integration
	Antidifferentiation (Year 12 Spesh)
	Antiderivatives involving inverse circular functions
	Integration using substitution
	Definite integrals by substitution
	Use of trigonometric identities for integration
	Partial fractions
	Integration by parts
Kinematics
	Position, velocity and acceleration
	Constant acceleration
Complex Numbers
	Starting to build the complex numbers
	Modulus, conjugate and division of complex numbers
	Polar form of a complex number
	Basic operations on complex numbers in polar form
	Solving quadratic equations over the complex plane
	Using DeMoivre’s theorem to solve equations
Applications of Integration
	Area of a region between two curves
	Volumes of solids of revolution
	Lengths of curves in the plane
Differential Equations
	An introduction to differential equations
	Differential equations involving a function of the independent variable
	Differential equations involving a function of the dependent variable
	Separation of variables