Syllabus and Learning Plan

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Reciprocal trigonometric functions
(\(cosec\), \(sec\) and \(cot\))

HELM course notes (Helping Engineers Learn Maths ††)

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Khan Academy notes and videos

Mathcentre notes and videos

Compound angle formulae and Trigonometric identities

HELM course notes

Khan Academy notes and videos

Hyperbolic functions and hyperbolic identities

Khan Academy notes and videos

Differentiation first principles

Mathcentre notes and videos

Differentiation of standard functions

Khan Academy notes and videos

The chain rule (for differentiation)

HELM course notes

Khan Academy notes and videos

Second derivatives and rates of change

Mathcentre notes and videos

Optimisation using differentiation

Khan Academy notes and videos

Mathcentre notes and videos

Integration: indefinite and definite integrals

Khan Academy notes and videos

Integration of standard functions

HELM course notes

Khan Academy notes and videos

Mathcentre notes and videos

Applications of integration

HELM course notes

Mathcentre notes and videos

The Mathcentre and Mathtutor websites contain the same content and some content is still in Adobe Flash Player, those elements will be updated eventually.
†† The 'Helping Engineers Learn Mathematics' (HELM) resources are excellent, links above have been carefully selected to align with the syllabus. The full set can be found at the HELM homepage.