Summation/Sigma Notation?
Summations (sigma notation) is used to represent a large sum of terms that follow a pattern. In calculus you will learn about series, which are sums with an infinite number of terms. But before you get to that, you need to understand the basic notation.
A common example provided in the video is the sum of 1 through 100. Also, a short introduction to the sum of 1 through some positive natural number n is discussed.
0:00 Introduction
0:09 Basic components of summation notation
0:37 Basic Example: Summing i from 1 to 3
1:27 How summation notation compacts large sums
1:56 Example: Summing i^2 from 1 to 5
2:43 Summing natural numbers from 1 to n
3:50 Using closed form solution to sum from 1 to 100
4:40 Warnings for things I didn't talk about
4:45 Any letter can be your index of summation
5:10 You can have a sum of variables
5:33 You can sum over sets
6:03 Hammering in the message
#summation
#sigmanotation
#sums
#joecmath
#calculus
