Calculus
Differentiation from first principles
Chain, product and quotient rules
Stationary points, tangents & normals
Implicit and parametric differentiation
Exponentials & logarithms
Calculus with trignometric functions
Calculus with inverse trigonometric functions
Calculus with hyperbolic functions
Introduction to integration
Integration by parts
Integration by substitution
Volumes of revolution
First order differential equations
Second order linear differential equations
Numeric solvers of differential equations
Trapezium and Simpson’s Rules
Maclaurin and Taylor expansions
Polar coordinates, curve lengths and swept areas
