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Functions is the final strand to be introduced in phase 3 of the new Project Maths Course.
This topic provides an essential link between Algebra and Number and introduces the students to applications of calculus in the real world. Functions and Differentiation are used in real life to help us understand rates of increase and decrease.
For example, students will solve problems involving the maximum speed reached by a car and the rate of increase in the size of a raindrop as it falls to the ground. Integration is introduced as ‘anti-differentiation’ and students are given excellent examples to reinforce this theory. Applications of integration to find areas under curves and between curves are clearly demonstrated.
Finally, the concept of numerical integration is introduced through the use of the ‘Trapezoidal Rule’.
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