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## Unit 3

#### Differentiation, integrals and discrete random variables

This unit continues studies in differentiation by introducing derivatives of exponential and trigonometric functions as well as the concept of a second derivative. Integration is shown to be a method to reverse differentiation and calculate areas. Discrete random variables are used to model chance and variation.

## Unit 4

#### The logarithmic function, continuous random variables and interval estimates for proportions

Unit 4 shows students the logarithmic function, including its derivative. Integration concepts from Unit 3 are used to calculate probabilities of continuous distributions, applied in the context of statistical inference of sampled populations.