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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.
- 1 Further Differentiation and Applications
- 2 Integrals
- 3 Discrete Random Variables
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.
- 4 The Logarithmic Function
- 5 Continuous Random Variables and the Normal Distribution
- 6 Interval Estimates for Proportions