HKDSE | Mathematics M1 (Calculus and Statistics) | Free Study Resources

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• Foundation Knowledge

• 01

  Binomial expansion

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• 02

  Exponential and logarithmic functions

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• Calculus

• 01

  Derivative of a function

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• 02

  Differentiation of a function

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• 03

  Second derivative

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• 04

  Applications of differentiation

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• 05

  Indefinite integration and its applications

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• 06

  Definite integration and its applications

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• 07

  Approximation of definite integrals using the trapezoidal rule

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• Statistics

• 01

  Conditional probability and Bayes’ theorem

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• 02

  Discrete random variables

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• 03

  Probability distribution, expectation and variance

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• 04

  The binomial distribution

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• 05

  The Poisson distribution

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• 06

  Applications of the binomial and the Poisson distributions

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• 07

  Basic definition and properties of the normal distribution

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• 08

  Standardisation of a normal variable and use of the standard normal table

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• 09

  Applications of the normal distribution

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• 10

  Sampling distribution and point estimates

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• 11

  Confidence interval for a population mean

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