Introduction, exact, complementary functions, particular integrals, integrating factors.

Two versions of a hexagonal jigsaw for trig integration

Differentiating expressions implicitly, including using Product and Quotient Rules

Component vectors, i and j vectors, reviewing of vectors

Negative and rational indices, expansions up to term in x^3, all brackets starting with 1

With brief solutions only

Substitutions, revision

Including finding the arbitrary constant

Lines and planes, reflection in a plane

With brief solutions

Exercise with brief solutions

Exponential growth and decay, first order differential equations

Recurrence relations, Sigma Notation, Convergence, Divergence, Oscillating

A PowerPoint presentation on Equations of Circles with an accompanying handout for the students to do.

Brief solutions only

Finding lower bound

Brief Notes and Examples for Location of Roots, Iterative Procedures, Cobweb Diagrams, and Staircase Diagrams.

A collection of resources (notes, worked examples, an exercise, exam style questions) covering lines of invariant points and invariant lines under matrix transformations in 2D

Hexagonal jigsaw on Maclaurin's expansion

A resource for A level Maths students to make links between geometric series and integration, and to include a bit of history of Maths for interest and extension