Exponential growth and decay, first order differential equations

Algebraic fractions, partial fractions, factor theorem, remainder theorem

Notes, Examples, Summary

Proofs, identities, equations, graphs, sec, cosec, cot

arctan, arcsin, arcos

Integration by algebraic division, integration revision

Including trig

Deriving formula, examples

Integration by parts, by substitution and by recognition

Summary, revision, differentiating inverse functions

Including connected rates of change

Exponential and natural logarithm differentiation including chain rule

Including using chain, product and quotient rules

Notes and Examples

Introduction, graphs, transformations

Including restricting domain. Many good worksheets and materials to work through the C3 Maths on Functions.

Domain, range, even, odd, periodic

Modulus equations, inequalities, graphs, transformations

Deduction, contradiction, counter-example

Sketching cubics and reciprocal curves