- How was lunch?
- Quizzes returned:
- Don't forget
- Constrained Optimization -- maxes or mins, subject to a side condition.
- I was thinking of something like this:
- Your Lagrange homework is due today.
- Review of the univariate problem: pretty good
TEC animation of that.
- LRR method
- RRR method
- Midpoint method
- Trapezoidal method (Long's rule!)
- Simpson's (Long's rule again!)
- General idea: the Riemann sum:
Of course we're not restricted to using constant areas.... just so long as, in the limit, the subareas $\Delta A_{ij}$ tend to zero.
- Motivation: Example 4 (Figure 12), p. 1003
- "corner" method(s)
- Midpoint
- Generalize to the Trapezoidal method
- Simpson's
- Problems:
- #6, p. 1005
- #10
- #15