Here are the main points that will be addressed in the videos. Please read these and think about them as you watch.

  • Riemann Sums are tools for calculating the accumulation of a function over an interval.
  • To construct a Riemann sum:
    • Treat each interval as having a constant rate of accumulation
    • The accumulation for each interval is the constant rate x change in e.g. position
    • Add up amounts from each interval to approximate total accumulation
  • You could use the rate at the beginning OR end of each interval
  • Sigma notation allows us to represent the sum