1. Finite Sums, Limits, and Definite Integrals

3.  http://mathworld.wolfram.com/RiemannSum. html http://mathworld.wolfram.com/RiemannSum. html

7.  To calculate a Riemann Sum, you need a function, an interval, and a partition.  The number of subintervals in the partition is denoted by n.  The length of the longest subinterval is called the norm of the partition.  If each subinterval is equal in length, it is called a regular partition.

8.  If the number of subintervals, n, in a regular partition approaches infinity, the norm of the partition approaches zero.  Although a Riemann Sum can be calculated by evaluating the function at any value from each subinterval, in practice we generally choose the left endpoint, right endpoint, or midpoint.  These are called LRAM, RRAM, MRAM and can be denoted