The good doctor's Calculus 3 Spring 2003 Home Page

This section REQUIRES a TI-89 Calculator (see below for sale hints).
This section also uses the computer program Maple.
This section REQUIRES you to read your garnet email frequently

Meeting times MW 12:20-1:10 T 12:30-1:45 in room 200 LOV
and R 12:30-1:45 in the computer classroom 107 MCH
Office Hours MW 1:25-2:15pm T 2:00-3:00pm
The final for this class is 10am-12noon Thursday 1 May 2003

The directory which will contain the maple examples and a list of Maple Commands we will use this semester.

WebMaple -- beta version

webmaple has its own username/password given in class.

The Class Syllabus(aka Handout) in PDF(Acroread Format). Acroread is freely available from Adobe.

Your private gradebook This has a username password which will be given in class. [You will also have to add your-code.html to the url above.]

The free garnet account can be obtained from this link. You can have your garnet mail forwarded to your favorite ISP via this link, or you can read your garnet mail directly from the web from this link or you can read your garnet mail by several other methods.

Current Assignments

Projects must be stapled together with no dog-eared corners.
Unstapled projects will NOT be accepted.
All the names of the particpants must be on the project.
Each member needs to fill out a group evaluation form each week.
The form is NOT stapled to the project but handed in separately.
Cute java interative cross product
Uncollected Homework
For Wed 23 Apr HH 17.4 3 - 11 odd and #8

Tests

Take home Quiz 11 to be given Mon 21 Apr, due Tue 22 Apr.

Look here for tests for old calc 3 classes.

Locations of test 1 -- 28 Jan, test 2 -- 27 Feb and test 3 -- 17 Apr.

Old quizzes 1 2 3 4 5 6 7 8 9 10 11

Old Assignments

For Mon 21 Apr HH 16.7 1 - 7 odd, 11, 13 (#9 was done in class)
For Tues 15 Apr look at HH 20.understanding read HH 16.7
For Mon 14 Apr HH 20.1 13, 17 HH 20.2 2, 6 15 HH 20.4 11, 13, 15 and problem #5 from test 3 of fall 1998
For Thur 10 Apr HH 20.1 23 HH 20.2 10, 11, 15 HH 20.3 25 HH 20.4 1-7 odd and problem #3 from test 3 of fall 2002
For Wed 9 Apr HH 19.3 6, HH 20.1 1-9odd(simple divs) HH 20.2 3, 5, 7 9 HH 20.3 1-7odd (simple curls most of these you have done before)
For Tues 8 Apr HH 19.3 3, 5
For Mon 7 Apr HH 19.2 1, 3, 5, 9, 11(Two ways), 13, 15, 17 HH 19.3 1
Project 8 due Thursday 10 Apr with its own evalution form
For Thurs 3 Apr HH 19.1 1-21 odd
For Tues 1 Apr HH 18.4 1, 7, 9-19 odd 20, 21
For Mon 31 Mar HH 18.4 13 18.review 16, 23
For each region W write but do not evaluate the triple integral of the function f over W in all three coordinate systems: Cartesian, Cylinderical and spherical
- W is the region below x^2+y^2+z^2=1 in the first octant.
- W is the region below z = 1-x^2-y^2 in the first octant.
- W is the region below x+y+z=1 in the first octant.
- W is the region between x^2+y^2=1 and x^2+y^2=2^2 in the first octant (this W is infinitely tall).
For Wed 26 Mar HH18.3 1-7 odd, 11-23 odd, 29 HH20.3 1-5 odd
For Mon 24 Mar HH18.2 1-13 odd, 17 HH16.5 26, 35
The big project arrived Thursday 20 Mar and is due Thurs 3 Apr
Project Statement and web page
For Thurs 20 Mar HH18.1 1-23 odd
For Wed 19 Mar HH17.5 5-17 odd 18, 32, 33, 34, 35, 38 HH17.3 12, 14, 16
For Tues 18 Mar HH17.3 1-19 odd
For Mon 17 Mar HH16.5 1, 3, 5, 7, 9, 11, 13, 15, 17, 23, 25, 27, 33
Project 7 due Wednesday 19 Mar is a group project worth 20 points
HH 16.projects #1 on page 781. (Not Maple)
For Thurs 6 Mar HH16.3 7, 9, 15, 17, 37, 39, and
- Find the area of one leaf of the 3-leaf rose r = sin(3*theta). Maple will draw this with(plots):polarplot(sin(3*theta),theta=0..2*Pi);
- The region2.mws volume (Wednesday's class) was from the integral below and we changed the order of integration to dx dy dz. Change the order of integration to dy dz dx. [Hint: what is the intersection of z=1-y and y=sqrt(x)? (They are both cylinders.)]
```
> Int(Int(Int(f,z=0..1-y),y=sqrt(x)..1),x=0..1);
   1    1      1 - y
  /    /      /
 |    |      |
 |    |      |       f dz dy dx
 |    |      |
/    /      /
  0     1/2   0
       x
```
For Wed 5 Mar HH16.4 1, 3, 5, 7, 9, 13, 17, 21, 25 HH16.3 1, 5, 11, 19-27odd
For Mon 3 Mar HH16.1 1, 3, 9, 11, 15-29 odd
HH16.2 1, 5, 7, 9, 13, 17, 21, 27, 29, 33, 39
For Monday 24 Feb HH17.1 51 HH17.2 33d HH15.review 1, 5, 9, 27 and
Show for any constant n, sin(n*pi*x)*e^(-n^2*pi^2*t) is a solution to the PDE u_xx = u_t. (the heat equation).
Project 6 due Tuesday 25 Feb with its own evalution form
For Thurs 20 Feb HH 15.3 1, 5, 9, 13
For Wed 19 Feb HH 15.2 8, 16, 27; HH 15.1 25
For Tues 18 Feb HH 15.2 1, 3, 5, 9, 13, 17, 29 (Hint for #17, find the minimum distance squared)
For Mon 17 Feb HH 14.7 35, 36 HH 15.1 1, 5, 7, 13, 14, 15, 17, 21 and
Show that the given u(x,y) is a solution to the given PDE (Partial Differential Equation) u_x is partial u/partial x, u_xy is (u_x)_y. [g and f are arbitrary (differentiable) functions of one variable]
- u(x,y) = g(y) solves u_x = 0.
- u(x,y) = g(bx -ay) solves a u_x + b u_y = 0.
- u(x,y) = f(x)+g(y) solves u_xy = 0.
- u(x,y) = f(x+ct)+g(x-ct) solves u_xx = u_tt/c^2 (the wave eqn)
Due Thurs 13 Feb HH14.7 1, 5, 9, 13, 17, 21, 25, 27, 31 HH14.6 23 33
Due Wed 12 Feb HH14.5 1, 5, 9, 12, 17, 21, 25, 29 HH14.6 1, 5, 9, 13, 17, 21
Due Mon 10 Feb HH14.3 1, 5, 9, 13, 21 HH14.4 5, 29, 33, 37, 59, 67
Project 5 due Thursday 13 Feb with its own evalution form
Due Thurs 6 Feb HH14.4 1, 9, 13, 15, 21, 25, 49, 51
Project 4 due Thursday 6 Feb with its own evalution form
Due Wed 5 Feb HH12.6 12, 13, 18, 19 and HH14.1 1, 3, 7, 13, 15 and HH14.2 1-33 odd
Due Tues 4 Feb S11.10 3, 9, 15, 21, 25, 31, 37, 39, 49
- Does f(x,y) = (x^2-y^2)/(x^2+y^2) have a limit as (x,y)->(0,0)?
- Does f(x,y) = (x^3-y^3)/(x^2+y^2) have a limit as (x,y)->(0,0)?
Due Wed 29 Jan HH13.review #31 HH17.1 #57 HH17.2 #25, 33
Project 3 due Thursday 30 Jan
Due Thurs 23 Jan HH17.1 #5, 9, 13, 17, 33 HH17.2 #1, 5, 9, 13, 15 and use your TI-89 to do 17.
Due Wed 22 Jan HH13.review (page636) #28, 29, 30 (do A and B below, before you do #30)
A. Find the distance between the parallel planes x+y-2z=1 and 4z-2x-2y=1.
B. Find the distance between the skew lines x=y=z and < x,y,z > = < 1, 1-s, s >. Hint: use the cross product to find a direction normal to both lines.
Project 2 due Thursday 23 Jan
Due Thurs 16 Jan HH12.3 1, 5, 9, 10, 13, 15, 20, 27
Due Wed 15 Jan S11.5 29, 33, 37, 41, 45, 49, 53
Due Tues 14 Jan S11.5 1, 5, 9, 13, 17, 21, 25
Due Mon 13 Jan HH13.4 1, 5, 9, 13, 17a and S11.4 21, 25
Project 1 due Thursday 16 Jan
Due Thurs 9 Jan HH13.3 1, 5, 7, 12, 22, 25, 32 and the following problems: find the scalar and vector projection of the vector v = < 1, 2, 3 > in the direction of the vector w = < 1, -1, 2 > and find unit vectors in the directions of v and w.
Due Wed 8 Jan S11.2 Problems with remainder 1 when divided by 4 that are in the range 1-33. (Congruent to 1 mod 4) and problem 35.
Due Tues 7 Jan S11.1 Problems with remainder 1 when divided by 4 that are in the range 1-45. (Congruent to 1 mod 4).
Cute java interative cross product

This section REQUIRES a TI-89 Calculator. Here are two locations on the web where the price of a TI-89 is about $131 (Note shipping costs negate some of the cost advantage, and also the range in shipping costs.) Office depot sells them for about $150, and Staples for $140.

Another place that at seems to have cheaper priced TI-89's is Ebay. Around 04/06/02 the getting price of a TI-89 looks to be slightly over $100. Pawn shops have also been known to have TI-89's around $100.

Last Modified: 11:05:14 03/04/22