## Course Summary

In single variable calculus, you learn how to use derivatives and antiderivatives to answer classical questions about functions which take in one real number and spit out another real number. In the jargon of mathematics, these functions are said to have the real numbers (denoted $\mathbb{R}$) as both their *domain* (i.e., set of inputs) and their *codomain* (i.e., set of potential outputs). Math 205 *(Multivariable Calculus)* is a first attempt to understand what derivatives and integrals mean for a function which takes in more than one input, or whose output is more than a single number. That is to say, this class will focus on the calculus of functions $f:\mathbb{R}^n \to \mathbb{R}^m$, particularly when $n,m \leq 3$. Fortunately much of the differential and integral calculus that you remember has natural extensions in this setting. Our goal will be to complete (most of) chapters 11 and 13-17 from the text.

## Course Instructor

The professor for this class is Andy Schultz. His office is on the third floor of the Science Center, room S352. His office hours are Monday from 2:45-4:00, Tuesdays from 2:45-4:00 and Wednesdays from 12:30-2:00. You are highly encouraged to attend office hours, and you never need an appointment to do so. If these office hours don't fit with your schedule, contact the instructor so that he can either adjust when ``official" office hours are held or set up an appointment to help you outside of office hours. Please come to my office or send me an email if you ever want to discuss material from the class or ask about homework problems!

You can contact the instructor at . Though he is always happy to receive emails from you with questions or concerns about the course, he can't guarantee that he'll be able to promptly reply to emails late at night or over the weekend. If you do contact the professor by email, please be sure to follow standard email etiquette. In particular, please make sure you include a greeting and signature and avoid abbreviations. If you're contacting him to ask about a problem, please be sure to specify what the problem asks (as opposed to asking something like ``I can't get problem 2 and need your help").