Calculus III

Overall grades
Client-Side Image Map

Test #3 Solutions

Test#3, and other unclaimed work, is in an envelope taped to my office door.

Extra office hours Thursday
The TA, Wondimu Tekalign, will be available in his office (Math 139) Thursday, May 2, from 8-11am and from 12:15-3pm, to answer any questions you might have.
Test#3
Bring your ID: I may not be there and the proctor will not know you.
You may bring one 5"x8" note card to the Test.
No calculators.
Topic coverage is shown in the roadmap: from Chain rules for partial derivatives through to the end.
Extra office hours Wednesday
1-1:50pm somewhere in Math Bldg.: check my office door for exact location.
3-3:50pm in my office, 206 Math Bldg.
Homework
Homework #13 Assignment: Solutions
HW#12 Assignment( please turn in your hard-copy of the Lab #12 assignment as part of HW#12): Solutions
HW#11 Assignment: Solutions
HW#10 Assignment: Solutions (corrected and completed 4/21/02)
HW#9 Assignment: Solutions
Test#2 solutions
HW#8 Assignment: Solutions
HW#7 solutions
HW#6 solutions
HW#5 solutions
HW#4 solutions
Test#1 solutions
HW#3 solutions
HW#2 solutions
HW#1 solutions
Gradesheet and Roadmap
Gradesheet here.

Here is a roadmap for the semester that I will update weekly. (Caution it's about .5Mbyte.) The numbered columns denote class-days. The purple shading means we discussed that topic on that day.

Constrained variables: Fri 4/29 3-4pm Math Room 122.
Special (voluntary) session on partial differentiation with constrained variables for those of you who are taking, or will take, thermodynamics: Friday 4/29, 3-4pm, in Math. Bldg. Room 122.
Dipole field and its potential
Maple worksheet

Lab in Hochstetter 139
The Lab for Friday April 19 and Monday April 22 will be in the computer lab, Hochstetter 139. Here is the assignment.
Tangential line integral example
Tangential line integral example
Moments
Moments of a lamina
Double integrals
The concept: measuring things distributed on the plane
A sequence of Riemann sums
Going to even finer partitions
Test #2, Friday, March 22
Covers up to section on finding absolute extrema of a 2-variable function on a bounded region. See topics.
Absolute extrema on a triangular region
Here's a Maple worksheet with a picture of the graph of the function we worked on last Friday: extrema_on_triangle.mws.
Solving nonlinear equations: the major application of linearization
Newton's method
A monkey saddle (a non-generic saddle)
A function f with fxy not equal to fyx
Unusual function
Examples of functions with no limit at some point

The example where straight line paths to (0,0) all have limit 0, while the parabolic path x=y2 has limit 1
(sorry the picture is for the function which has x and y reversed from what we looked at in class):

Graphs and level curves of functions of 2 variables

Rotating topography with plot3d

Quadric surfaces
Ellipsoid 1- and 2-sheet hyperboloids
Implicit curves
signplot.mws
Cylinder, sphere, and donut (torus)
Click to see Maple code (Maple not needed)
If you have Maple, you can open the Maple worksheet and twirl the plots.
Test #1
Test#1 is Wednesday, Feb 20. It covers topics up thru arc-length parametrization. See roadmap. Closed-book. No notes. No calculators.
Solutions
Office hours and other help
Starting Thursday, Feb. 7, the Mathematics Help Center will be open in Room 110 Math. Bldg., Monday through Friday 9am-12noon, and 1-3pm (except closes at 2pm on Fridays).

My own office hours are Monday and Friday 1-2pm in Math. Bldg. room 206.

Our TA, Wondimu Tekalign, has office hours Tuesday and Thursday 10-11am in Math. Bldg. room 139.

Helix: r(t), T(t), and N(t)

(Click for animation.)

Lab attendance
To avoid overburdening the TA, you may only attend the Lab section for which you are registered. This will be enforced from now on.
Welcome!
First class: 10-10:50am, Wed. Jan 23, 2002, in Baldy 108.
Labs (recitations) begin:
Friday Jan 25 (if we have a TA: consult website Friday!) in Cooke 127A for 241C2, and
Monday Jan 28 in Talbert 113 for 241C1.
Class details and policies: ps, pdf.