Use Maple to graph a multivariable function and its level curves. This is a good lesson to compare single variable calculus concepts with the same ideas applied to multivariable calculus. The concepts of limit and continuity of a function of two variables is more subtle. Do not focus on the formal d - e definition of limit, we will emphasize a more intuitive approach. Example 3 in the text is the kind of activity you should be able to understand and repeat.
Partial derivatives have many applications in mathematics, physics, economics, etc.
The basic idea is found in the last line on page 843. Become thoroughly familiar with the various notations. Do 83 and 84 as write-ups. Remember to explain your mathematics in complete sentences, in paragraph form. The emphasis this lesson will be on using differentials for the purpose of approximation.