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. We will also cover some selected topics related to differential equations.

Course Instructor

The professor for this class is Andy Schultz. His office is on the main floor of Clapp Library, room 255. Office hours will be held

• Tuesday from 11:30-12:30 in room 301 of the modulars,
• Wednesday from 2:30-3:20 in room 240 of the L-wing of the science center,
• Thursday from 9-11 and from 3-4:15 in (or near) my office in Clapp 255, and
• Friday from 8:30-9:20 in (or near) my office in Clapp 255.

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 the professor's office or send him 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").