## Course Summary

As the name suggests, Math 116 *(Calculus II)* is a second course in calculus. The course begins where a typical introduction to calculus finishes: at the definition of the integral and its connections to so-called anti-derivatives. After refamiliarizing ourselves with these basic terms, we'll spend the first half of the course covering integrals in depth: first by developing techniques for evaluating difficult integrals, and then by discussing a variety of applications of the integral.

In the second half of the course we change gears, introducing the related notions of sequences and series. These will let us tackle the problem of infinite sums, and we'll develop a number of tools for calculating when an infinite sum "makes sense." Though these ideas begin by considering infinite sums of numbers, the payoff of our analysis is to carry these questions over to infinite sums of *functions*. This will allow us to express crazy functions as (infinite) sums of certain polynomials; you might know this kind of decomposition as Taylor series. At the end of the course, we might briefly mention how these same ideas can be used to express functions as sums of sines and cosines, yielding so-called Fourier series.

## Course Instructor

The professor for this class is Andy Schultz. His office is on the third floor of the Science Center, room S352. He will be available to talk with you thirty minutes before class each day, as well as after class most days. The instructor is extremely happy to talk with you outside of class, but it's a good idea to send an email to let him know you want to talk. If meeting before or after class doesn't fit with your schedule, contact the instructor to set up a time that does. You can also try dropping by his office to chat; if his door is open and he has time to talk, he'll be more than happy to help you with whatever calculus questions you have.

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").