We'll be covering Chapters 12-16 of the text. Homework is assigned daily and the previous weeks assignments are collected each Monday. I'll periodically update this list. Here are the homework assignments so far:
HW Packet 1: Homework assigned from §12.1 - §12.2 is due on Monday, January 25.
HW Packet 2: Homework assigned from §12.3 - §12.4 is due on Monday, February 1.
HW Packet 3: Homework assigned from §12.5 is due on Monday, February 8. (Also try to start working on Quadric Surfaces...see §12.6 below.)
As part of your study of Quadric Surfaces (§12.6) please read through and experiment with the excellent Interactive Gallery of Quadric Surfaces. This site has an interactive web page for each of the six types of quadric surface, where you can:
[Note: If the text is too small to read comfortably, you can enlarge it by pressing cntl-+ in Windows, or Cmd-+ on a Mac.]
HW Packet 4: Homework assigned from §12.6 is due on Tuesday, February 16. (Also try to start reading §13.1 on Parametrized Curves/Vector-Valued Functions.
Note: Two nice and useful tools for interactively exploring parametrized curves can be found at the following links: The "Parametric Paths (3-D Graphing)" webpage and the "Motion in 3-D" webpage. Each page contains a Java applet (which can be SLOW to load...be patient!).
The first link has a fairly straightforward interface where you can enter three different parametrized curves, which can be graphed in three colors with respect to a single coordinate axis frame. The coordinate axes (and their scales) are clearly indicated. You'll need to thoughtfully choose the "bounds" of your viewing window to avoid having much of the view of your graph truncated. You can also click and drag the graph and "rotate" it in 3-D.
The second link also allows you to type in your vector-valued function <x(t),y(t), z(t)>, click on the "GRAPH" button, and see the curve rendered. However, in this applet, if you press the ">>" button, the parametrized curve will be "swept out" before your eyes, complete with velocity vector (in red) and acceleration vector (in green)! Like the first applet, you can click and drag the image to change your viewpoint. But be forewarded! This applet is a bit unusual in the way they've implemented "rotating the image". Usually things are set up so that when you click and drag on the graph, you move the graph as an object. But in this applet, think of the cursor as the position of your eyes...when you drag the cursor, you're changing your viewing position (and thus, only indirectly, the position of the object). This will probably appear strange at first...until you get the hang of it.
HW Packet 5: Homework assigned from §13.1 is due on Monday, February 22.
HW Packet 6: Homework assigned from §13.2 and the exercises on the class handout "Four Parametrizations of the Circle, and Two of its Involute" is due on Monday, March 1. It's advisable to read §13.3 as well...there are a lot of concepts (relating the geometry to the calculus) therein.
HW Packet 7: Homework assigned from §13.3 and §13.4 is due on Monday, March 8
HW Packet 8: Homework assigned from §14.1 - §14.2 is due on Monday, March 15.
No homework from §14.4
HW Packet 9: Homework assigned from §14.3 and §14.5 is due on Monday, March 22.
HW Packet 10: Homework assigned from §14.6 and §14.7 is due on Monday, April 5.
HW Packet 11: Homework assigned from §15.1 and §15.2 is due on Monday, April 12.
HW Packet 12: Homework assigned from §15.3 through §15.5 is due on Monday, April 19.
To view scanned images of handwritten solutions to a selection of assigned course homework click here.
Here's a quick reference to some good math software resources that are very helpful for studying , exploring, and experimenting with topics in Calculus (and beyond).