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 semester 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 semester 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 \emph{functions}. This will allow us to express crazy functions as (infinite) sums of certain nice' functions like polynomials or sines and cosines; you might know this kind of decomposition as Taylor and Fourier series.

If time permits, we'll discuss some additional topics at the end of the course, such as various non-rectangular coordinate systems and parametric descriptions for familiar curves and surfaces.

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 1:30 to 2:30, Tuesdays from 3 to 4, Wednesday from 2 to 3 and Thursday from 2 to 3. 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. 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").

The college also sponsors a "help room" to give you extra assistance if you need it. You can find out more information about the help room here.