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Advanced · calculus, statistics, university maths

Calculus 1

Advanced

Rates of change. The first big idea of higher maths.

Topics, in order

  1. Limits and continuity
  2. Definition of the derivative
  3. Differentiation rules and the chain rule
  4. Implicit differentiation and related rates
  5. Curve sketching and optimization
  6. Antiderivatives and the definite integral
  7. Fundamental theorem of calculus

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Final exam

A few questions from every topic, to check you are ready to move on.

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Move on when

You can explain why the fundamental theorem links slopes and areas.