
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. 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 rate of increase in the size of a raindrop as it falls to the ground. Integration is introduced as ‘antidifferentiation’ and students are given excellent examples to reinforce this theory. Applications of integration to find areas under curves and between curves are clearly demonstrated. Finally, the concept of numerical integration is introduced through the use of the ‘Trapezoidal Rule’.

Having completed this course students will be able to:
 Basic Differentiation of functions (including trig, exp and log)
 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, area and volume
 Understand the meaning of ‘antiderivative’ and Indefinite Integration
 Basic Integration of algebraic functions
 Basic Integration of Trigonometrical and Exponential functions
 How to use integration to find an area and use of the Trapezoidal Rule

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.