Math 222 Current Assignment

Due Friday, February 9

Problem 1 follows techniques illustrated within the Math 222:Lecture 3:Using Gradplot worksheet. In particular, this shows how to use the gradplot command. Note that the level curves should be drawn in by hand rather than with the computer.

Problem 2 follows techniques illustrated within the Math 222:Lecture 3:Using Transform Plots (or Linear Approximation) worksheet. The worksheet illustrates what an "affine linear approximation" to a function from R^2 to R^2 is (besides being a mouthful...) and how to calculate it in Maple. This kind of approximation is important conceptually !

Note that problem 2 requires both the loading of the linear algebra package and the loading of the local transform_plots package.

Expressing exponentials as E^x often requires an evalf:

Here's the correction:

Loading Files Problems

Is the file transform_plots really in the subfolder library of the subfolder lcal of the Maple folder ?

Or has someone used apostrophes (') rather than backquotes (`) to specify the path. (The command paste pathname under the edit menu is the easy way to generate a correct path.)

The first step (Pacific above) is the top-level folder where the path starts, usually the machine name. When moved to a machine with a different name, the path won't work. So check if the machine name is correct.

Linear Algebra Problems

The linear algebra package needs to be loaded.

Better:

Linear algebra operations need to be wrapped inside evalm to be computed.

Better:

Scalar Multiplication uses * rather than &*

Better:

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Last Update: February 5, 1996