Estimating the area under a graph | Mathematical Methods | MaffsGuru.com
**
This video looks to introduce the topic area of Integration. It's hard to find the area under a curve using basic tools. I look at how we might estimate using the left endpoint, right endpoint and trapezoidal estimate methods. I look at how to use the CAS and pencil and paper methods along with the pitfalls of each approach. There are a number of worked examples and all are explained in an easy to understand way.
**
00:11 Welcome
00:34 Learning objectives
01:01 Recap of past learning
02:37 A base function to explore
03:32 The left end-point estimate
08:30 The area is not quite right though!
08:59 The right end-point estimate
10:16 The y-coordinate is the answer
10:54 Finding the heights of the bars using the CAS
12:47 Over or Under estimate?
13:14 What happens if I make the widths wider?
14:21 Taking the average of the over esitimate and under estimate
15:29 Example 1: Finding the area
21:25 The Trapezoidal estimate
25:15 Example: Using the Trapezoidal Estimate
27:33 A formula for those who like them
28:17 Learning Objectives: Revisited
This maths video has been created for courses which are delivered in Australia but, as Maths is a constant, it is equally helpful for students in the USA, UK and other countries who are looking for good maths videos for both high school and middle school.
