| Day |
Topic Covered |
Text
Section(s) |
Assignment |
2/09
|
Calculus: Moving From Two- to Three-
Dimensions
Graphing Curves in Two and Three Dimensions:
- rectangular and polar coordinates and curves
- parametric curves
|
12.1-3
|
1.
Read for next class: Section 12.4 and raise any
questions in class on Wednesday
Experiment with: the multiintro.mws Maple file (in
Class Materials folder in Class folder) that we looked at in class by
changing numbers
and functions in the the command lines. You need
not hand in anything from this activity -- just get familiar with
plotting using Maple.
Written Homework: Computer Lab 1 (in Class Materials
folder in Class folder. (Note: If you did not use Maple 8 last
semester, check Directions for
getting into Maple 8.)
Due: By classtime, Wednesday, February
11
|
| 2/11 |
Your questions on 12.4?
Vectors and vector-valued functions |
12.5
|
2.
Review: 12.5 and run the
12.5-vectorfunction.mws
Maple worksheet in Class Folder > Class Materials
Read for next class: 12.7
Written Homework: 12.5: 2, 4, 9, 10, 14,
16, 24, 27, 32
Due: By classtime, Monday, February 16
|
| 2/13 |
The Geometry of Vector Operations: Dot Products
and Cross Products |
12.7, 12.9
|
3. Read
for next class: 12.9, 12.8
Written Homework: 12.7: 4, 6, 10, 12, 16, 24, 31, 33, 34; 12.9: 2, 5, 6
Due: By classtime, Wednesday, February 18
|
| 2/16 |
The Geometry of Vector Operations: Cross
Products
Lines and Planes in 3-D
|
12.9, 12.8
|
4. Read
for next class: 12.6, 13.1
Written Homework: 12.9: 14, 17, 18, 23, 25, 27,
36 (use 35), 39; 2.8: 2-5, 8, 9, 11, 16
Due: By classtime, Friday, February 20
|
| 2/18 |
Modeling Motion (optional)
Functions of Several Variables
|
12.6
13.1
|
5. Read
for next class: 13.2
Written Homework: Ch.
12 Summary: 6, 8, 9, 18,
25-28, 49, 51-55; 13.1: 2, 4, 6-10; Maple
worksheets: go through worksheet and print out your answers
to two of these worksheets in Class Folder>OZ Sections:
12.6, 12.7, 12.8, 12.9
Due:
Wednesday,
February
25
|
| 2/20 |
Go to Peter Agre Nobel talk or come
to a help session .
|
|
| 2/23 |
Partial Derivatives
|
13.1-2
|
6.
Read for next class: 13.3
Written Homework: Work
through both worksheets on section 13.2 in the Class Materials > OZ
Sections > Chapter 13. Try the problems at the end of
13.2-partialderiv.mws, and check 13-2example.mws against the examples
in the book. You don't need
to hand in anything, just make sure that you understand what is
happening.
Due: Nothing
formally due.
|
2/25
|
Partial Derivatives
|
13.2-3
|
7.
Read for next class: 13.4
Written Homework: 13.1:
17, 18; 13.2: 4,
8, 12, 16, 20, 26, 39, 49, 50; 13.3: 2
Due: Monday, March 01
|
| 2/27 |
Linear Approximation
|
13.3-4
|
8.
Read for next class: 13.4, 13.5
Written Homework: 13.3:
1, 3, 6, 8, 14, 16, 20, 23,
26, 28, 30; 13.4: 1, 5
Due: Wednesday, March 03
|
| 3/01 |
Gradient and Directional Derivatives
|
13.4
|
9.
Read for next class: 13.5
Written Homework: Work
through the 13-4example Mpale worksheet in
the class folder, then do: 13.4:
6, 9, 11, 14, 18, 20, 22, 24, 26, 31-34,
37-39, 44*, 48*; 13.5: 3, 5 (* problems are optional, for
bonus credit)
Due: Friday, March 05
|
| 3/03 |
Higher Derivatives and Quadratic
Approximation
|
13.5
|
10.
Read for next class: 13.6
Written Homework: 13.5:
2, 7, 10, 12, 14, 17, 22, 25-27, 31,
33, 40; 13.6: 1, 3
Due: Wednesday, March 10
|
| 3/05 |
Optimization and Quadratic
Approximation
|
13.6
|
11. Read for next
class:
Written Homework:
13.6: 2,4,5,6,8, 14-19, 27-29.
Due: Wednesday,
March 10
|
| 3/08 |
The Chain Rule
|
13.7 |
12. Read for next
class: 13.7, 14.1
Written Homework: 13.7:
1-4, 6, 8, 10, 11, 14, 16, 19-22
Due: Friday, March 12
(actually, Monday, March 15)
|
3/10
|
Multiple Integrals and Approximating Sums
|
14.1
|
13. Read for next
class: 14.2
Written Homework: 13.7:
5, 7, 23, 25, 27, 34, 36, 37; 14.1: 1a, 2a, 3, 5,
7, 8
Due: 3/17
|
3/12
|
Calculating Integrals by Iteration
|
14.2
|
15. Read
for next class: 14.3,
Written Homework: 1
4.2: 1-25 odd; 14.3: 1-3, 5, 7
Due: 3/17
|
3/15
|
Integrals over Non-Rectangular Regions
|
14.3
|
16. Read
for next class: 12.3, 14.4
Written Homework: 14.3:
4, 9, 11, 13, 15, 17, 19, 25,
26, 29, 31, 33, 35
Due: 3/19
|
3/17
|
Double Integrals in Polar Coordinates
|
|
17. Read
for next class: Make outline of Sections 12.5, 12.7-12.9,
13.1-13.7 and do as much of the sample test as you have time for.
Neither of these are to be handed in, but the test will go
better for you if you have done them before Friday.
Written Homework: 14.3:
36, 37, 38, 39, 41; Also
see above under reading.
Due: 4/05
|
3/19
|
Review
|
|
18. Read
for next class: None
Written Homework: None
Due:
|
3/20-28
|
Spring Break
|
|
|
3/29
|
Polar Coordinates, Double Integrals in
Polar Coordinates
|
14.4
|
19. Read
for next class: Work on your outline -- bring to class on
Wednesday
Written Homework: 12.3:
18-24 even, 26 and 28 by hand, 30,
55, 60; 14.4: 1,2, 6, 7, 9, 11
Due: Draft due 4/05, final
due 4/07
|
3/31
|
Review of Sections 12.5,
12.7-12.9, 13.1-13.7
|
|
20. Read
for next class: 14.5
Written Homework: None
Due:
|
4/02
|
Test I
on Sections 12.5, 12.7-12.9, 13.1-13.7
|
|
|
4/05
|
Double Integrals in Polar Coordinates
Triple Integrals
|
14.4, 14.5
|
21. Read
for next class: 14.6
Written Homework: 14.4:
15, 18-26 even, 34, 36, 37, 38; 14.5: 1-9 odd
Due: Draft on 4/07, Final
on 4/14
|
4/07
|
Triple Integrals, Spherical and
Cylindrical Coordinates
|
14.5, 14.6
|
22. Read
for next class: 14.7
Written Homework: 14.5:
11, 13, 15; Chapter 4 Summary:
3, 5, 20, 24; 14.6: 1, 3, 17
Due: Draft on 4/14, final
on 4/16
|
4/09
|
Good Friday
|
|
|
4/12
|
Easter Monday
|
|
|
4/14
|
Change of Variables
|
14.7
|
23. Read
for next class: 14.7 again, 14 Summary
Written Homework: 14.6:
21-31 odd, 34, 37, 39; 14.7: 11,
12, 15
Due: Draft on 4/16, final on 4/19
|
4/16
|
Review, Chapter 14
|
|
24. Read
for next class: 16.1
Written Homework:
14.7: 14, 16-19;Ch. 14 Summary: 1, 2, 25-30, 37
Due: Draft on 4/19, final
on 4/21
|
4/19
|
Line Integrals
|
16.1
|
25. Read
for next class: 16.2
Written Homework:
Work problems in 16-1LineIntegrals Maple worksheet
in Class Folder > ClassMaterials > OZ Sections > Chapter 16,
then
use Maple to help you with 16.1: 1-13 odd, 19, 29
Due: Draft on 4/21,
final on 4/23
|
4/21
|
Fundamental Theorem of Line Integrals |
16.2
|
26. Read
for next class: 16.3
Written Homework:
16.1: 12, 18, 27, 30;
16.2: 2-4, 11-15 odd, 24-29
Due: Draft on 4/23, final
on 4/26
|
4/23
|
Catch-up, review
|
16.2
|
27 Read
for next class: Review 16.3
Written Homework:
Chose any 10 problems that you need to work on from one or
more of the following sections: 1) Chapter 14 summary; 16.1;
16.2. If you are 100% confident about these sections, pick 10
problems from a section in Chapter 15.
Due: Draft on 4/26, final on 4/28
|
4/26
|
Green's Theorem: Relating Line and Area
Integrals
|
16.3
|
28. Read
for next class: 16.4
Written Homework:
16.3: 1, 3, 7, 9, 10, 15, 16, 19, 20, 22, 26
Due: Draft on Monday, 5/3, final on
5/5
|
4/28
|
Parameterization of Surfaces
|
16.4 |
29. Read
for next class:
Written Homework:
Due:
|
4/30
|
Test II,
Take-home on Chapter 14, Sections
16.1-16.3
|
|
|
5/03
|
Surface Integrals
|
16.5
|
30. Read
for next class: 16.5
Written Homework:
16.4: 2, 4, 5, 6, 7, 9, 11, 15, 17, 19, 23
Due: Draft on Wednesday, 5/5, final on
5/7
|
5/05
|
Derivatives and Integrals of Vector
Fields
|
16.5
|
31. Read
for next class: 16.6
Written Homework:
16.5: 4, 5, 9, 10, 12, 15-18, 22 -26
Due: Draft on Friday, 5/7; final on 5/10
|
5/07
|
Derivatives and Integrals of Vector
Fields
|
16.6
|
32. Read
for next class: 16.7
Written Homework: 16.6:
9, 10, 13, 14, 15, 16, 21-23
Due:
|
5/10
|
Stoke's and Divergence Theorems
|
16.7
|
33. Read
for next class: none
Written Homework:
16.6: 17, 19, 20, 38; 16.7: 1-4,
13, 16
Due:
|
5/12
|
Divergence Theorem
|
12.6, 15.1 |
34. Read
for next class:
Written Homework:
Due:
|
5/14
|
Projects from among:
Interludes
Curvature
Lagrange Multipliers
Improper Integrals
|
|
Take-home portion of Final Exam handed out
|
5/17
|
Review of course
|
|
|
5/19
|
Final Exam, 9-11
|
|
|
|
|
|
|