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Strand 5 Junior Certificate Ordinary 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
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.
  • Duration

    1-2 Hours
  • Assessment

    Yes
  • Certification

    Yes
  • Responsive

    Yes

Description

Outcome

Certification

View course modules

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 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 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:

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 Certification is available to purchase through the Alison Shop. For more information on purchasing Alison Certification, please visit our faqs. If you decide not to purchase your Alison Certification, 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 Certification pricing, please visit our Pricing Page.

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