MAT 137, Professor Swift

MAT 137, Calculus II

Prof. Swift, Spring 2014

Paul's Notes     Syllabus     Schedule     WeBWorK     Group Work     Exams

Course information

My office hours are MTWF 11:10-11:30 (in AMB 163), MWF 12:20-1:00, M 3:30-4:00, W 3:30-5:00 in my office, AMB 110. My weekly schedule has these times highlighted. You can always send me e-mail, drop in, or make an appointment if these times aren't convenient.

Texts: Paul's notes, by Paul Dawkins of Lamar University. Here are the links to his Calc I and Differential Equations notes.
Whitman College Calculus by Guichard
The Wikibooks Calculus textbook is pretty good, too.

Here is a link to NAU policy statements, and the math department policies. These are part of the printed syllabus for our course, but are not in the on-line version of our syllabus.

Introduction to WeBWorK at NAU.

Because CEFNS paid for a site license, you can now get Mathematica on your own computer! Details are at
This is a good webcast introducing you to Mathematica.

Link to a page about Greek Letters.

Flyer for FAMUS (Friday Afternoon Undergraduate Math Seminar): Friday at 3 pm in AMB 164.

The MAP Room -- AMB 137
This is a good place to do the WeBWorK. There are Peer Math Assistants (PMAs) that can help you. You can go there before or after class with your friends and work on WeBWorK together.

M-Th 9:00am - 5:00pm, F 9:00am - 4:00pm, except when the lab has been reserved at least a day in advance for use by a class. This has more computers available than the MAP room, but no tutors to help.

The current Problem of the Week is posted here. You get extra credit for our course from points earned in the problem of the week. Check out the display at the bottom of the big stairs.

Figures and Help in reverse Chronological Order

April 15: Here are Mathematica demonstrations of the Taylor polynomials for 1/(1-x) and sin(x).
Here is a picture of some partial sums of the Taylor series of ln(1+x) = x - x2/2+x3/3 - x4/4 + ... . The series converges iff -1 < x <= 1.
Here is a picture of some partial sums of the Taylor series of 1/(1+x2) = 1 - x2 + x4 - x6 + x8 - ... . The series converges iff -1 < x < 1.
Here is a picture of some partial sums of the Taylor series of arctan(x) = x - x3/3 + x5/5 - x7/7 + x9/9 - ... . The series converges iff -1 <= x <= 1.
Here is a pictuse of some partial sums of the Taylor series of cos(x) = 1 - x2/2 + x4/4! - x6/6! + ... . The series converges for all x.

Figures relevant to WeBWorK set 10_Length_Ave problem 7
Here is a graph of y = cosh(x) and y = sinh(x). Here are my figures of several catenaries. (See wikipedia on Catenary). "Catenary" comes from the Latin word for "chain". The St. Louis Arch, more propely called the Gateway Arch, is approximately an upside down catenary: y = -a cosh(x/a) + b. A catenoid is obtained by rotating a catenary y = a cosh(x/a) about the x axis. Here is my Matehmatica deomonstration of a catenoid
The hyperbolic sine and cosine are defined by

cosh(x) = (ex+e-x)/2 and sinh(x) = (ex-e-x)/2.
It follows that cosh(0) = 1, sinh(0) = 0, cosh is even, sinh is odd, and
d/dx cosh(x) = sinh(x), d/dx sinh(x) = cosh(x), and cosh2(x) - sinh2(x) = 1.

First day in class: Review problems on Differentiation and Integration, and the scanned solutions (with one solved problem using partial fractions that is not part of the review).

Here are some places to get help as you review Differentiation and Integration skills:
Differentiation Shortcuts
Visual Calculus by Lawrence S. Husch at Knoxville. This has some good tutorials.

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