Day 23 in MAT229

• We're in week seven, and about time for anotehr exam. It will be like the last: a combo of IMath, and something to do on Canvas.

• This week we introduce "improper integrals" -- our first foray into the infinite.

So far, our definite integrals have been calculated on finite intervals, and our integrands have generally been continuous (and usually smooth, i.e. differentiable -- and always finite).

What happens if either of these things are not true:

• the interval becomes infinite, or
• the function becomes infinite?

• Materials for today:
  1. Improper Integrals (nb)
  2. Improper Integrals (pdf)
  3. Long talks you through the improprieties...

• Nothing new.