# 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*