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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.
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.
Modules
Junior Certificate Strand 5 - Ordinary Level - Functions and Calculus
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Plotting Quadratic Graphs from a Table of Values
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Matching Equations and Sketches
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Sketching Parabola Using Completing the Square
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Completing the Square and Sketching the Full Method
Module 2: Junior Certificate - Strand 5 - Ordinary Level Functions and Calculus Assessment
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 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
All Certificates are available to purchase through the Alison Shop. For more information on purchasing Alison Certificates, please visit our FAQs. If you decide not to purchase your Alison Certificate, you can still demonstrate your achievement by sharing your Learner Record or Learner Achievement Verification, both of which are accessible from your Dashboard. For more details on our Certificate pricing, please visit our Pricing Page.
