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# 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.

Calculus
Free Course
This free online maths course focusing on functions and calculus will give you a solid run through of these core mathematical subjects. 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. The course will be particularly useful for Irish Junior Certificate students preparing for their exams. Start learning, today.

1-2 Hours

Yes

Yes

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## Description

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.

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## Learning Outcomes

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

## Certification

All Alison courses are free to enrol, study and complete. To successfully complete this Certificate course and become an Alison Graduate, you need to achieve 80% or higher in each course assessment. Once you have completed this Certificate course, you have the option to acquire an official Certificate, which is a great way to share your achievement with the world. Your Alison Certificate is:

Ideal for sharing with potential employers - include it in your CV, professional social media profiles and job applications
An indication of your commitment to continuously learn, upskill and achieve high results
An incentive for you to continue empowering yourself through lifelong learning

Alison offers 3 types of Certificates for completed Certificate courses:

Digital Certificate - a downloadable Certificate in PDF format, immediately available to you when you complete your purchase
Certificate - a physical version of your officially branded and security-marked Certificate, posted to you with FREE shipping
Framed Certificate - a physical version of your officially branded and security-marked Certificate in a stylish frame, posted to you with FREE shipping