Trapezoidal Rule Introduction - Yr 11/12 introduction to integration, could be used for lower years if references to integral notation left out (requires: function notation, area of trapezium. Motivation - approximating areas of non-polygonal shapes/regions)
Derivative of a Sum - Yr 11/12. Proof, brief examples.
Product rule - Yr 11/12. Motivating counterexamples, proof.
UNFINISHED Trig Derivatives - Yr 11/12. Motivation plus derivation from first princples. UNFINISHED!
UNFINISHED Derivative of Log Function - Yr 11/12. Usual proof, why it's wrong, correct proof (using first princples - advanced due to required degree of familiarity with limits) UNFINISHED!
Maxima problem - Yr 12. Maximising the area of a rectangle with vertices determined by a curve.
Integration practice questions - Yr 12. Variety of multi-step calculus problems.
Incomplete scribble - integrtion by substitution - Yr 12. NEEDS CLEANUP!!
Selection of tricky calculus problems and Solutions outline - Yr 12.Return to main page