Day 03 in Mat222

Today:

• Distribute Section 8.4 Worksheet

• Quiz Opportunity over Section 8.7

• No problems to collect - but I will next time (section 8.1)!

• Questions on old stuff?

• Section 8.7:
  • worksheet study questions

  • section summary

  • Method comparison:

    Method	Idea	Error	Gets what functions right?
    Left	Use rectangles, left endpoint	-f'(c)(b-a)2/2, for some c in (a,b)
    Right	Use rectangles, left endpoint	f'(c)(b-a)2/2, for some c in (a,b)
    Midpoint	Use rectangles, midpoint
    Trapezoidal	Use trapezoids, left to right
    Simpson's	Use Parabolas!

  • Using your TI to compute approximations (well, it does it whether we want it to or not!)

  • Problems:
    • At seats: #14/16/18/20, 38

Links:

• Nice views of these techniques (with Mathematica code -- here's a local version)
• Another nice site

Next time: 8.4