Strand 5 Junior Certificate Higher Level Functions and Calculus - Revised
Gain a better understanding of functions and calculus including the rules of differentiation, average speed, and more.
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Functions and Calculus is one of the strands of the new Project Maths Course in the Irish curriculum. The course will show you how functions provide an essential link between algebra and numbers and introduces students to applications of calculus in the real world. You will also be introduced to how to use differentiation to find the slope of a tangent to a curve at a specified point. This is then extended to the study of increasing and decreasing functions. For example, students will solve problems involving the maximum speed reached by a car and the highest point reached by a firework or rocket. Finally, the concept of numerical integration is introduced through the use of the ‘Trapezoidal Rule' to find areas under specific curves.Start Course Now
Having completed this course you will be able to:
- Examine how to work with functions to plot graphs, including quadratic graphs, cubic graphs and exponential graphs
- Recognise basic differentiation of functions
- Determine the local maxima and local minima turning points of a curve
- Recognise the rate of change of distance
- Demonstrate how to use a slope to determine the nature of a function
- Identify how to use the Trapezoidal Rule to find area
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