Strand 5 Leaving Certificate Ordinary Level Functions and Calculus

Functions is the final strand in Phase 3 of the Ordinary Level Project Maths course. This topic provides every important link between algebra and numbers, and introduces pupils to applications of calculus in real life.

The use of differentiation to find the slope of a given tangent to a curve at a point is explained. This then leads on to the study of decreasing and increasing functions. Functions and differentiation are often used in real life as an aid to understanding rates of decrease and increase.

For example, you will explore problems involving the maximum speed that can be reached by a car and look at the highest point that can be reached by a rocket or firework. Finally, the mathematical concept of numerical integration is investigated through the use of the Trapezoidal Rule to find areas under given curves.