
Description

Outcome

Certification

Functions was the final strand to be introduced in phase 3 of the new Project Maths Course. This topic 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.

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

All Alison courses are free to study. To successfully complete a course you must score 80% or higher in each course assessments. Upon successful completion of a course, you can choose to make your achievement formal by purchasing an official Alison Diploma, Certificate or PDF.
Having an official Alison document is a great way to share your success. Plus it’s: Ideal for including in CVs, job applications and portfolios
 An indication of your ability to learn and achieve high results
 An incentive to continue to empower yourself through learning
 A tangible way of supporting the Alison mission to empower people everywhere through education.