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Mathematics M1 (Calculus and Statistics)

3セクション

Foundation Knowledge

Binomial expansion
Exponential and logarithmic functions

Calculus

Derivative of a function
Differentiation of a function
Second derivative
Applications of differentiation
Indefinite integration and its applications
Definite integration and its applications
Approximation of definite integrals using the trapezoidal rule

Statistics

Conditional probability and Bayes’ theorem
Discrete random variables
Probability distribution, expectation and variance
The binomial distribution
The Poisson distribution
Applications of the binomial and the Poisson distributions
Basic definition and properties of the normal distribution
Standardisation of a normal variable and use of the standard normal table
Applications of the normal distribution
Sampling distribution and point estimates
Confidence interval for a population mean

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