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Junior Certificate Strand 5 - Ordinary Level - Functions and Calculus

Gain a better understanding of functions and calculus including the rules of differentiation, average speed, and more.

Calculus
Free Course
A function is a relation between a set of inputs and a set of outputs, where every input has at most one output. This Functions and Calculus course is one of the strands of the new Project Maths Course in the Irish curriculum. It will teach you how to plot quadratic graphs from a table of values, match equations and sketches, sketch a parabola using the square, look into the concept of the Trapezoidal Rule, and more.

1-2 Hours

Yes

Yes

Description

This course first teaches the rules of differentiation which includes product rule, quotient rule, and chain rule. You will learn the use of 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. You will also learn how to determine the local maxima and local minima turning points of a curve.

You will then study average speed, which is the rate of change of distance. This course also teaches the use of slope to determine the nature of a function. You will learn the concept of numerical integration and how to use the Trapezoidal Rule to find the area under specific curves. With the help of video presentations, you will then be guided through the process of completing the square and sketching the full method.

Functions and calculus are used in real life to help us understand rates of increase and decrease. Upon the completion of this course, you will be able to solve problems involving the maximum speed reached by car and the highest point reached by a firework or rocket. You will also learn that a Trapezoidal Rule is a numerical approach to finding definite integrals where no other method is possible. So, check out the course and gain a better understanding of functions and calculus, today.

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Learning Outcomes

Having completed this course students will be able to:

• Basic Differentiation of functions;
• The rules of differentiation (product rule, quotient rule, chain rule);
• Determine the local maxima and local minima turning points of a curve;
• Understand rate of change of distance;
• Use slope to determine the nature of a function;
• 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 official Certification, which is a great way to share your achievement with the world. Your Alison Certification 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 Certification for completed Certificate courses:

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Course Reviews

This Course has been revised!

For a more enjoyable learning experience, we recommend that you study the mobile-friendly republished version of this course.

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