Here are on-line textbooks for calculus and other classes. If you have comments on them, let me know. We might use these notes instead of a textbook for Calculus I next semester.
Instructor information, including office hours and contact information.
Student pictures of section 2 (10:20) and section 3 (11:30).
pdf of the Syllabus. Here are the Math Department Policies that are technically part of the syllabus.
Here is an Introduction to WeBWorK.
You probably won't need this if you have used WeBWorK in a previous class.
NOTE: You login name is your dana account (e.g. jws8).
Your password is the last 5 digits of you NAU ID.
Jim Swift's DPGraph page. This page has a link for you to download the program for free, since NAU has a site license.
Page on Vector Functions.
Page on helices.
This still figure and this animation show the orbit of a hypothetical comet around the sun. The orbit is an ellipse with eccentricity 1/2. The period of the orbit is 12 years, and the dots show the position at each year. The velocity vector is blue and the acceleration vector is green.
Here are "Monkey Gun" DPGraphs showing projectile motion in 2D and 3D.
Page on Space Curves: curvature, unit tangent vector, unit normal vector and unit binormal vector. (This page has no outgoing links: click "back" when you're done.) Here are some graphics files: paperStripOfHelix.nb, paperStripOfTrefoilKnot.nb, bouncingSpring.dpg, helix.nb, and graphsAndLevelSurfaces.nb
Page on gradients.
Set 11 (Optimization)
(You don't need to use Mathematica, but it helps.)
Mathematica Notebook for the Second Derivative Test.
Mathematica Notebook for the Set 11, Problem 8.
Mathematica Notebook for the Set 11, Problem 10.
Mathematica Notebook for the Set 11, Problem 12.
Page on multiple integrals with help on WebWorK sets.
Extra credit on computing the area of a region using numerical integration. Here is my solution in a Mathematica notebook.
Plot a 2-dimensional vector field with DPGraph or Mathematica.
Electric field from a positive point charge, and the magnetic field from a wire with a surface current and with a constant current density.
