| Week | Date | Due | Reading & Study | Topics | Exercises for discussion on | Hand in on | Notes |
|---|---|---|---|---|---|---|---|
| 1 | M 8/31 | T 9/1 | 12.1-2 | Coordinate geometry; Vectors |
|||
| 1 | Tu 9/1 | W 9/2 | 12.3 | Dot product | W 9/2: 12.1 ## 3, 4, 5, 14, 16; 12.2 ## 2, 4, 9, 10, 15, 27, 34; 12.3 ## 1, 6, 11, 14, 25 |
||
| 1 | W 9/2 | F 9/4 | 12.4 | Dot product; Angles & orthogonality; Projection |
|||
| 1 | F 9/4 | Tu 9/8 | 12.4 | Cross product; Determinants |
Tu 9/8: 12.3 ## 28, 31, 33, 37, 39, 49; 12.4 ## 1, 3, 5, 6, 8, 9, 14, 19, 33 |
Tu 9/8, HW 1:
12.2 ## 42, 46; 12.3 ## 38, 42, 64; 12.4 # 10 |
|
| 2 | Tu 9/8 | W 9/9 | 12.4; 12.5, pp. 840-843 |
Cross product; Parallepipeds; Lines |
W 9/9: 12.3 ## 41, 45, 50, 53; 12.4 ## 20, 22, 29, 37, 43, 44; 12.5 ## 2, 3, 6, 10 |
||
| 2 | Th 9/10 | F 9/11 | See Tu 9/8 | Lines | F 9/11: 12.5 ## 1, 11, 13, 17;
W 9/16: 12.3 ## 62, 63; 12.4 ## 38, 39, 42, 48, 49; 12.5 ## 15, 19, 48 |
||
| 3 | Sa 9/12 | W 9/16 | 12.5 all | Planes | W 9/16:
12.5 # 31 |
W 9/16, HW 2:
12.3 ## 40, 44, 48; 12.4 ## 30, 36; 12.5 ## 17, 20, 25, 27 |
|
| 3 | Sa 9/12 | F 9/18 | 12.6 | Quadric surfaces | |||
| 4 | Sa 9/17 | M 9/21 | 13.1 | Quadric surfaces; Vector functions; Space curves |
M 9/21:
12.5 ## 27, 33, 35, 51; 12.6 ## 1, 3, 7, 9, 11, 21-23, 29, 43; 13.1 ## 1, 3, 7, 21, 27 |
M 9/21, HW 3:
12.5 ## 18, 20, 28, 34, 43; 12.6 ## 12, 24-26; 13.1 ## 2, 8, 22 |
M 9/21: Class discussion on problems from 12.3-13.1. |
| 4 | W 9/23 | F 9/25 | 13.2 | Calculus of vector functions |
F 9/25: all assigned problems | F 9/25, HW 4:
13.1 ## 18, 24-26, 27-29, 40-41; 13.2 ## 5, 8, 9, 12, 17, 20, 21, 23, 25, 35, 37 |
|
| 5 | W 9/23 | M 9/28 | Review | M 9/28: all assigned problems | M 9/28, HW 5:
Ch. 12 Review Exercises ## 1, 3, 6, 9, 21, 23, 28-33; 13.1 ## 42, 47; 13.2 ## 13, 18, 22, 24, 27, 36, 41, 47 |
Class discussion | |
| 5 | W 9/30 | TEST 1 | Covering Ch. 12 and Sects. 13.1-2 |
||||
| 5 | Th 10/1 | F 10/2 | 13.3 | Arc length; Curvature |
F 10/2, HW 6:
13.3 ## 1, 13, 17, 21, 27 |
||
| 6 | Sa 10/3 | M 10/5 | 13.4 (omit Kepler's Laws), 14.1 |
Velocity, speed, acceleration; Functions of 2 & 3 variables |
M 10/5, HW 7:
13.3 ## 2, 4, 14, 18, 22, 39, 47; 13.4 ## 9, 13, 15, 31, 37; 14.1 ## 5, 9, 11, 13, 14, 18, 33, 36 |
||
| 6 | Su 10/4 | T 10/6 | 14.2 | Limits with 2 variables |
All assigned problems from HW 6-8 |
T 10/6, HW 8:
13.3 ## 11, 15, 47; 13.4 # 10; 14.1 ## 32, 66; 14.2 ## 5, 7, 11, 17, 25, 31 |
Class discussion on Sects. 13.3-14.2 |
| 6 | Su 10/4 | F 10/9 |
14.3 | Partial derivatives: 1st, 2nd, etc. |
14.3 ## 3, 10, 15, 17, 19, 27, 41, 47, 53, 59 |
||
| F 10/9 | 14.3 | Partial derivatives | |||||
| 7 | M 10/12 | 14.4 | Tangent planes | 14.3 ## 15, 17, 19, 25, 42, 47,
49, 50, 53, 59, 61, 66, 67, 78; 14.4 ## 1, 5, 6, 13, 17, 18, 25 |
|
No class tomorrow, 10/13 | |
| 7 | W 10/14 | 14.5 | Chain rule | 14.5 ## 1, 2, 7, 9, 13, 23,
27, 28, 31, 32 |
|||
| 7 | F 10/16 | 14.6 | Gradient; Directional derivatives |
14.6 ## 4, 5, 6, 7, 9, 11, 12,
21, 23, 25 | |||
| 8 | T 10/20 | 14.7, 14.8 | Max and min; Lagrange multipliers |
W 10/21, HW 10:
14.7 ## 2, 7, 11, 12, 15, 19, 29, 32, 35, 39, 47; 14.8 ## 3, 5, 7, 12, 15, 19 |
|||
| 8 | W-Th 10/21-22 |
F 10/23 | 15.1, 15.2 | Double integrals | F 10/23, HW 11:
13.4 # 35; 15.2 ## 1, 5, 7, 15, 17, 18, 21, 24, 25, 29 |
||
| 8 | Th 10/22 | F 10/23 | 15.3 | Double integrals | |||
| 9 | Sa 10/24 | M 10/26 | 15.4 | Polar double integrals | M 10/26, HW 12:
15.3 ## 1, 7, 13, 15, 17, 23, 43, 51, 55, 59; 15.4 ## 5, 7, 9, 15, 29 |
||
| 9 | Sa 10/24 | T 10/27 | 15.2 ## 28, 31;
15.3 ## 9, 20, 26, 44, 51, 53, 60; 15.4 ## 12, 18, 30, 37; Ch. 14 Review Exercises (recommended) ## 5, 9, 10, 16, 26, 31, 39, 44, and any others that look like useful review |
Review | |||
| 9 | W 10/28 | TEST 2 | Covering 13.3 - 15.4.
13.4: Omit Kepler's laws. 15.1: Omit Riemann sums and numerical methods. |
Omit Cobb-Douglas production function. | |||
| 9 | Th 10/29 | F 10/30 | 15.7 | Triple integrals in rectangular coordinates. Omit applications (pp. 1047-1048) |
15.7 ## 1, 3, 9, 29 | F 10/30, HW 13:
15.7 ## 6, 10 |
|
| 10 | Sa 10/31 | M 11/2 | 15.8 | Triple integrals;
Cylindrical coordinates |
15.7 ## 5, 9, 17, 21, 27, 29, 53;
15.8 ## 3, 11, 17 |
M 11/2, HW 14:
15.7 ## 12, 14, 22, 33; 15.8 ## 4, 7, 10, 18 |
|
| 10 | Su 11/1 | Tu 11/3 | 15.9 | Triple integrals;
Spherical coordinates |
15.8 ## 19, 23, 29;
15.9 ## 1, 3, 5, 9 |
— | Homework discussion |
| 10 | M 11/2 | W 11/4 | 15.9 | Triple integrals;
Spherical coordinates |
15.8 ## 15, 24;
15.9 ## 11, 15, 17, 21, 23, 27, 39 |
W 11/4, HW 15:
15.7 ## 32, 54;
15.8 ## 24, 30; 15.9 ## 2, 4, 8, 10 |
Homework discussion |
| 10 | M 11/2 | F 11/6 | 15.10 | Change of variables | 15.9 ## 37;
15.10 ## 1, 3, 7, 11 |
F 11/6, HW 16:
15.8 # 26(a);
15.9 ## 18, 22, 26, 28, 40; 15.10 ## 2, 4, 8, 12 |
|
| 11 | Sa 11/7 | M 11/9 | 15.10 | Change of variables | 15.10 ## 9, 13, 15 | Lecture | |
| 11 | Sa 11/7 | T 11/10 | 16.1 | Vector fields | 15.9 # 41;
15.10 ## 17, 23; 16.1 ## 1, 3 |
Homework discussion | |
| 11 | Tu 11/10 | W 11/11 | 16.1, 16.2 to top of p. 1094 |
Vector fields; Line integrals |
15.10 ## 21(a), 25;
16.1 ## 11-12, 21; 16.2 ## 1, 3, 5, 17 |
W 11/11, HW 17:
15.9 # 38(a); 15.10 ## 14, 19; 16.1 ## 13-14, 22; 16.2 ## 2, 8 |
|
| 11 | Th 11/12 | F 11/13 | 16.2 | Line integrals | 16.1 # 25;
16.2 ## 13, 18, 19 |
F 11/13, HW 18:
15.10 ## 18, 24, 27; 16.1 ## 15-18; 16.2 # 20 |
|
| 12 | Su 11/15 | M 11/16 | 16.3 | Line integrals | 16.2 ## 15, 21, 27(integral), 33;
16.3 ## 1, 3, 5, 11, 13 |
M 11/16, HW 19:
16.2 ## 12, 22; 16.3 ## 4, 8, 12 |
|
| 12 | M 11/16 | Tu 11/17 | 16.4 to page 1108 |
Green's Theorem | One way we use line integrals. | ||
| 12 | M 11/16 | W 11/18 | 16.4 | Green's Theorem | 16.3 ## 17, 19, 25, 31, 33;
16.4 ## 1, 5, 7, 11 |
W 11/18, HW 20:
16.3 ## 16, 28(a), 32; 16.4 ## 4, 6, 12 |
|
| 12 | W 11/18 | F 11/20 | Line integrals; Green's Theorem |
16.2 ## 29(a), 33;
16.3 ## 19, 29, 30; 16.4 ## 13, 17, 27 |
F 11/20, HW 21:
16.2 ## 30(a); 16.3 ## 14, 33, 34; 16.4 ## 18, 28 |
||
| 13 | M 11/23 | 16.5 | Div and Curl | Preparing for the big stuff. | |||
| 13 | M 11/23 | T 11/24 | 16.5 | Div and Curl | 16.4 # 19;
16.5 ## 1, 3, 5, 13, 15 |
T 11/24, HW 22:
16.4 ## 23, 27; 16.5 ## 4, 14, 19 |
You can find "centroid" using the index. |
| 13 | W 11/25 | Problem discussion | |||||
| 14 | Sa 11/28 | M 11/30 | 16.6 | Surfaces & surface area | 16.5 ## 12, 23, 25, 31(a,b);
16.6 ## 1, 3, 5 |
M 11/30, HW 23:
16.5 ## 16, 20, 24; 16.6 ## 2, 4 |
|
| 14 | M 11/30 | Tu 12/1 | 16.6 & 15.6 |
Surfaces & surface area | 16.6 ## 13, 19, 33;
15.6 ## 1, 5 |
Problem discussion | |
| 14 | Tu 12/1 | W 12/2 | 16.6, 16.7 | Surfaces & surface integrals | 16.6 ## 21, 23, 41;
16.7 ## 5, 7, 15; 15.6 # 7 |
W 12/2, HW 24:
16.6 ## 20, 26, 34; 16.7 ## 6, 8, 16; 15.6 # 4 |
|
| 14 | Tu 12/1 | F 12/4 | 16.8 | Stokes' Theorem | 16.6 ## 25, 35, 43;
16.7 ## 17, 21, 23, 29; 15.6 ## 11; 16.8 # 7 |
F 12/4, HW 25:
16.6 ## 36, 42, 48; 16.7 ## 12, 18, 22, 26; 15.6 ## 8, 21; 16.8 # 2 |
|
| 15 | Tu 12/1 | M 12/7 | 16.8 | Stokes' Theorem | 16.7 ## 27, 28, 42, 43 | M 12/7, HW 26:
16.8 ## 4, 8 |
|
| 15 | M 12/7 | Tu 12/8 | 16.9 | Divergence Theorem | |||
| 15 | Tu 12/8 | W 12/9 | 16.9 | Review; Divergence Theorem |
16.7 # 40;
16.8 ## 13, 15; 16.9 # 1 |
W 12/9, HW 27:
16.8 ## 10, 14; 16.9 ## 2, 4 |
"Verify Stokes' Theorem" means compare both integrals in the theorem. |
| 15 | F 12/11 | TEST 3 | Covering 15.6-10 & 16.1-7 |
||||
| 16 | Su 12/13 | M 12/14 | 16.9, 16.10 | Divergence Theorem | 16.8 ## 17, 18;
16.9 ## 5, 7, 11, 13 |
M 12/14, HW 28:
16.8 ## 6, 16; 16.9 ## 6, 10, 14 |
|
| 16 | Tu 12/15 | 16.10 | Review | Any exercises | 16.10 summarizes much (not all) of Ch. 16 | ||
| – | W 12/16 | FINAL EXAM | Comprehensive, omitting what was omitted during the course. |
To the main class page.
To my (old) home page.