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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
Gain a better understanding of functions and calculus including the rules of differentiation, average speed, and more. Start Now!
  • Duration

    1-2 Hours
  • Assessment

    Yes
  • Certification

    Yes
  • Responsive

    Yes

Description

Outcome

Certification

View course modules

Description

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.

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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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