**Learning objectives**

- Describe the behavior of a function of 1 or 2 variables near a critical point
- Find critical points on a graph or contour diagram
- Distinguish between local and global maxima
- Use iterative methods to search for maxima and minima of a function

**Before class**

- Read Hughes-Hallett 4.1, 4.3, 9.5
- Ponder problems 4.1. 1-10, 20; 4.3. 3-8, 32, 37; 9.5. 1-8, 16, 18.

**In class**

- Practice from the textbook; check answers by graphing
- Discuss local behavior of a function
- Consult main points of the lesson
- Optimize using R for iterations (mosaic’s mGradSearch)
- fetchData(“mGradSearch.R”)
- f=rFun(~x&y)
- mGradSearch(f)