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. Functions provides an essential link between Algebra and Number and introduces the students to applications of calculus in the real world. Use of differentiation to find the slope of a tangent to a curve at a specified point is introduced. This is then extended to the study of increasing and decreasing functions. 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 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. It is an interesting topic that is very accessible to all students.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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