The good doctor's Calculus 3 Fall 2002 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 201 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 Thursday 12 Dec 3-5pm (TR12:30 timeslot)

The directory which will contain the maple examples

WebMaple -- broken

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

Homework must be stapled together with no dog-eared corners.
Unstapled homework will NOT be accepted.
All the names of the particpants must be on the homework.
Each member needs to fill out a group evaluation form each week.
The form is NOT stapled to the homework but handed in separately.
Maple 7 due Tuesday 3 Dec
Homework 13 due Wednesday 4 Dec
- Section 17.4 1, 4, 5, 6, 8, 9
- Section 13 Understanding 1 - 29 odd
- Find an equation for the line of intersection of the plane x+y+z = 3 and the plane theta = pi/6.
- Section 16 Understanding 1 - 29 odd
- Find the area of one rotation of the spiral r = k theta (so 0 <= theta <= 2 pi)

Tests

Look here for old tests. Warning -- these tests are for a different edition of the textbook.

Future locations of test 1 -- 17 Sep, test 2 -- 17 Oct and test 3 -- 21 Nov.

Old Assignments

Homework 12 due Tuesday 26 Nov
- Section 20.1 18, 19, 22, 23
- Section 20.3 11, 15, 26
- Section 20.5 1, 4, 7
- Section 12.6 12, 18
- 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)?
Homework 11 due Tuesday 19 Nov
- Do problem #5 from this old test
- Section 20.2 1, 2, 6, 9, 10, 11, 19, 20
- Section 20.4 3, 11, 14, 15
The Big Project due Thursday 14 Nov
Homework 10 due Wednesday 13 Nov
- Section 19.1 1-7, 13, 15, 20
- Section 19.2 7, 8, 9, 10, 14, 15
- Section 19.3 1, 2, 6
- Section 20.1 4, 5, 10
- Section 20.3 1, 2, 5
Homework 9 due Tuesday 5 Nov
- Section 18.2 8, 9, 11, 13,
- Section 18.3 1, 3, 4, 7, 8, 10, 13, 15, 23, 29
- Section 18.4 3, 5, 7, 9, 11, 16, 17
Maple 6 due Thursday 31 Oct
Homework 8 due Tuesday 29 Oct
- The region2.mws volume (last Thursday'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
```
- Find the area of the cardiod with polar coordinates equation r = 1 + cos(theta)
- Section 16.5 33, 42
- Section 17.3 12, 14, 16,
- Section 17.5 1, 6, 9, 11, 15, 16, 17, 18, 20, 21, 38
- Section 18.1 1-8, 12, 13, 14, 15, 20
- Section 18.2 1, 2, 3
Maple 5 due Thursday 24 Oct
Homework 7 due Tuesday 22 Oct -- Now Wednesday.
- Section 16.2 29, 30, 34
- Section 16.3 5, 7, 11, 17, 21, 23, 25, 27 37, 38
- Section 16.4 1, 2, 5, 7, 16, 18, 21
- 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);
- Section 16.5 7, 8, 9, 14, 15, 17, 22a, 24, 29
- Section 17.3 1, 4, 11, 13, 15 Maple will plot vector fields with(plots): fieldplot([y,0],x=-3..3,y=-3..3); will plot the vector field F=< y,0>.
Homework 6 due Tuesday 15 Oct
- Section 14.Understanding 1, 3, 5, 9, 11, 15, 21 27, 31, 33, 35, 37
- Section 15.1 2, 3, 7, 13, 18
- Section 15.2 8, 23, 27
- Section 15.3 4, 5, 13, 17
- Section 16.1 5, 15,19,23,27
- Section 16.2 4, 5, 7, 11, 12, 13, 26, 27, 28, 41
Maple 4 due Thursday 10 Oct
Homework 5 due Tuesday 8 Oct
- Section 14.4 58
- Section 14.5 30
- 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)
- Section 14.7 13, 14
- Section 15.1 1, 5, 10, 12, 14, 22
- Section 15.2 6, 16
- Section 15.3 2, 8, 12, 16
Homework 4 due Tuesday 1 Oct
- Section 13.review 31, 32
- Section 14.3 13
- Section 14.4 9, 10, 18, 22, 24, 56, 67
- Section 14.5 2, 12, 14, 24, 25, 29
- Section 14.6 7, 8, 21, 23
- Section 14.7 4, 5, 22, 26
- Section 17.1 51
- Section 17.2 33
Maple 3 due Thurday 26 Sep
Homework 3 due Tuesday 24 Sep
- Section 13.4 17a
- Section 14.1 3, 8, 12, 15
- Section 14.2 4, 6, 8, 9, 15, 21, 29, 31, 33, 34, 44
- Section 14.3 5, 6, 9, 22, 24
- Section 14.5 17, 19(both ways)
Maple 2 due Thurday 19 Sep
Maple 1 due Thurday 12 Sep
- Do problem 6 of this old test. (Spring 02 T1)
- Do problems 3 and 10 of this old test. (Fall 02 T1)
- Do problems 5 and 10 of this old test. (Spring 00 T1)
- Do problem 10 of this old test. (Spring 96 T2)
- Do problem 10 of this old test. (Fall 96 T1)
- Do problem 10 of this old test. (Spring 00 T3)
Homework 2 due Tuesday 10 Sep
- Section 13.review 28, Also do problem 30 for the lines in 17.1 32.
- Section 17.1 32, 33, 34, 48, 51, 54, 58
- Section 17.2 1, 8, 13(it is a line!), 15, 16, 36
- Find the distance from the point (0, 0, 1) to the line < x, y, z > = < t, t, t >.
- Find the center and radius of the sphere x^2+4x+y^2-6y+z^2+12z=0.
- Section 3.8 (three.eight) 1, 6, 16, 33
- Section 12.3 3, 6, 7, 10, 13, 20, 26
- Know the catalog of surfaces page 593
Cute java interative cross product
Homework 1 due Tuesday 3 Sep (No make it Wednesday 4 Sep)
- Section 13.1 8, 11, 15, 21, 25, 28, 31, 32
- Section 13.2 11, 12, 15, 16, 20
- Section 13.3 3, 9, 11, 12, 17, 21, 25, 28, 32
- Section 17.1 1, 2, 16, 22, 32, 49
- Section 13.4 6, 8, 15, 18

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.

Last Modified: 14:19:37 03/02/02