Calculus

• Functions and their properties
• Limits and continuity
• DerivativesRules of differentiation, higher derivatives, implicit differentiation
• Curve analysisRoots, monotonicity, extrema, concavity, inflection points, asymptotes
• IntegrationAntiderivatives, definite integrals, substitution, integration by parts
• Areas and volumes of revolution
• Applied problemsOptimisation, growth and decay, quantity and rate of change
• Families of functions
• Differential equationsPart of some syllabuses only. Each product states its curriculum reference.

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