Fall 2004

This document details what ideas and topics will be taught in Math 116. The list of sections is almost an accurate description of what students need to know, but two sections are only partially taught, and others have some material excluded or emphasized. Most sections are marked "All", which means that all the material in that section is testable material.

Section	Relevant Material
5.1-5.4	All. This is review from 115, and will be take up about two class days. Since this chapter lays the foundation for integral calculus, students should pay careful attention to anything here they don't already understand!
6.1-6.2	All. This is also review from 115. It will take up about one class day.
6.4	All.
7.1	All.
7.2	All.
7.3	All.
7.5	All. We used to distribute calculator programs to help with this material. Now we use java applets on this website as a "homework aid." Students will not need the calculator programs, but will need to know how to do Riemann sums by hand.
7.7	All, but students don't need to memorize the formula or understand the physics fact behind it:
7.8	All.
3.8	All. Despite the chapter number, this is a new section, with some very new ideas!
8.1	All.
8.2	All.
8.3	All.
8.5	Present and future value of lump sum payments and payment streams, but not consumer and producer surplus, which we shall leave to the economists. This also excludes "supply and demand curves" at the bottom of p. 380.
8.6	All.
8.7	All.
9.1	All.
9.2	All, including the extremely useful but sometimes missed (because of page layout) Theorem 9.3.
9.3	Through the middle of page 420. The material on alternating series is omitted.
9.4	Through page 426. That is, the definition of power series and the fact that power series have a radius of convergence.
10.1	All. (We include the expansion about a point "a" other than zero.)
10.2	All.
10.3	All.
10.4	This section is covered lightly. The main point is to know that the error in approximating by the n-th Taylor polynomial "goes like" |x-a|n+1 , and to emphasize the point of section 10.2, that increasing the order of the Taylor polynomial increases the order of accuracy of the approximation inside the interval of convergence.
11.1	All.
11.2	All.
11.3	All.
11.4	All.
11.5	All.
11.6	All.
11.7	All.
11.8	All.