Math 73 Videos
| Section |
Michael Hutchings |
Alexandra Niedden |
Travis Kowalski |
Adrian Banner |
Denis Auroux |
| 12.1 |
1.3.1 |
Three-Dimensional Coordinate Systems | Notes |
Topic 2 |
|
|
| 12.2 |
1.3.2 |
Vectors Part 1,
Vectors Part 2 | Notes
|
Topic 2 (34:00) |
Lec 2 (1:26) |
Lec 1 (1:08) |
| 12.3 |
1.3.3, 1.3.4 |
Dot Product Part 1,
Dot Product Part 2 | Notes |
Topic 3 |
Lec 2 (9:45) |
Lec 1 (15:30) |
| 12.4 |
1.3.5, 1.3.6 |
Cross Product | Notes |
Topic 4 |
Lec 3 (1:45) |
Lec 2 (33:38) |
| 12.5 |
1.4.1, 1.4.2 |
Equations of Lines and Planes Part 1,
Equations of Lines and Planes Part 2 | Notes
|
Topic 5 |
Lec 2 (31:10) |
Lec 4 |
| 12.6 |
1.4.3,
1.4.4,
1.4.5,
1.4.6 |
Cylinders and Quadric Surfaces | Notes |
Topic 9 |
Lec 2 (1:36:00) |
|
| 13.1 |
1.5.1 |
Vector Functions and Space Curves | Notes |
Topic 6 |
Lec 3 (1:03:45-1:23:08) |
Lec 5,
Lec 6 (stop at 5:30)
|
| 13.2 |
1.5.2 |
Derivatives and Integrals of Vector Functions Part 1,
Derivatives and Integrals of Vector Functions Part 2 | Notes |
Topic 7 |
Lec 3(1:23:08-1:34:00) |
|
| 13.3 |
|
Arc Length and Curvature 1,
Arc Length and Curvature 2 | Notes
|
Topic 8 (12:30) |
|
|
| 13.4 |
|
Motion Part 1,
Motion Part 2 | Notes
|
Topic 8 |
Lec 3 (1:34:00) |
Lec 6 (5:30) |
| 14.1 |
2.1.1,
2.1.2,
2.1.3,
2.1.4
|
Functions of Several Variables |
Topic 9 |
Lec 4 |
Lec 8 (1:59) |
| 14.2 |
2.1.5,
2.1.6,
2.1.7 |
Limits and Continuity | Notes |
Topic 10 |
Lec 4 (48:20) |
|
| 14.3 |
2.2.1,
2.2.2,
2.2.3 |
Partial Derivatives | Notes |
Topic 11 |
Lec 4 (1:23:00) |
Lec 8 (32:54) |
| 14.4 |
2.2.4,
2.2.5,
2.2.6,
2.2.7
|
Tangent Planes and Linear Approximations,
Total Differential | Notes
|
Topic 12 |
Lec 5 (1:37:07) |
Lec 9 (stop at 10:07),
Lec 11 (stop at 10:30) |
| 14.5 |
2.3.1,
2.3.2,
2.3.3,
2.3.4,
2.3.5,
2.3.6
|
Chain Rule | Notes |
Topic 14 |
|
Lec 11 (10:30) |
| 14.6 |
2.4.1,
2.4.2 |
Directional Derivatives and the Gradient Vector Part 1,
Directional Derivatives and the Gradient Vector Part 2 | Notes
|
Topic 13 |
|
Lec 12 (1:55) |
| 14.7 |
2.5.1,
2.5.2,
2.5.3,
2.5.4,
2.5.5,
2.5.6,
2.5.7,
2.5.8
|
Maximum and Minimum Values Part 1,
Maximum and Minimum Values Part 2 | Notes
|
Topic 15 |
Lec 5 (1:45:00) |
Lec 9 (10:40),
Lec 10 |
| 14.8 |
2.6.1
2.6.2,
2.6.3,
2.6.4,
2.6.5
|
Lagrange Multipliers |
Topic 16 |
Lec 6 (stop at 1:28:10) |
Lec 14 |
| 15.1 |
3.1.1,
3.1.2,
3.1.3
|
Double Integrals over Rectangles | Notes |
Topic 17 |
Lec 7 (stop at 25:35) |
Lec 16 (stop at 10:00) |
| 15.2 |
3.1.4,
3.1.5
|
Double Integrals over General Regions | Notes |
Topic 18 |
Lec 7 (25:35) |
10:00-41:00 |
| 15.3 |
3.2.1,
3.2.2,
3.2.3,
3.2.4,
3.2.5
|
Double Integrals in Polar Coordinates | Notes |
Topic 20 (stop at 26:00) |
Lec 7 (130:00), Lec 8 (1:13:20 - 1:28:40) |
Lec 17 (stop at 15:30) |
| 15.4 |
|
Applications of Double Integrals |
|
Lec 7 (52:40:30 - 130:30) |
Lec 17 (15:30) |
| 15.5 |
3.2.6 |
Surface Area | Notes |
|
|
|
| 15.6 |
3.3.1,
3.3.2,
3.3.3,
3.3.4
|
Triple Integrals | Notes |
|
Lec 8 (1:00:00) |
Lec 25 (stop at 21:30) |
| 15.7 |
3.4.1,
3.4.2,
3.4.3
|
Triple Integrals in Cylindrical Coordinates | Notes |
Topic 20 (25:50-41:15) |
|
Lec 25 (21:30) |
| 15.8 |
3.4.4,
3.4.5,
3.4.6 |
Spherical Coordinates | Notes
|
Topic 20 (41:15) |
Lec 9 (46:45) |
Lec 26 |
| 15.9 |
3.5.1,
3.5.2,
3.5.3,
3.5.4,
3.5.5,
3.5.6,
3.5.7
|
Change of Variables in Multiple Integrals | Notes |
|
Lec 9 (1:27:31), Lec 10 (stop at 15:30) |
Lec 18 |
| 16.1 |
4.1.1,
4.1.2
|
Vector Fields |
Topic 22 |
Lec 10 (52:15 -57:30) |
Lec 19 (stop at 17:15) |
| 16.2 |
4.1.3,
4.1.4,
4.1.5,
4.1.6,
4.1.7,
4.1.8
|
Line Integrals Part 1,
Line Integrals Part 2 |
Topic 21,
Topic 22 |
Lec 10 (15:30-52:15, 57:30 - 1:53:45) |
Lec 19 (17:15) |
| 16.3 |
4.2.1,
4.2.2,
4.2.3
4.2.4
|
The Fundamental Theorem for Line Integrals |
Topic 23 |
Lec 10 (1:53:45), Lec 11 (stop at 11:20) |
Lec 20 (17:25),
Lec 21
|
| 16.4 |
4.3.1,
4.3.2,
4.3.3,
4.3.4,
4.3.5,
4.3.6
|
Green's Theorem |
Topic 24 |
Lec 11 (38:45 - 1:50:00) |
Lec 22 (4:00-34:00) |
| 16.5 |
4.4.1,
4.4.2,
4.4.3,
4.4.4,
4.4.5,
4.4.6,
4.4.7
|
Curl and Divergence |
|
Lec 11 (11:45-38:45) |
Lec 23 (34:00), Lec 30 (40:00) |
| 16.6 |
4.5.1,
4.5.2,
4.5.3,
4.5.4
|
Parametric Surfaces & Their Areas Part 1,
Parametric Surfaces & Their Areas Part 2
|
|
Lec 11 (1:50:00) |
Lec 28 (20:45-42:30) |
| 16.7 |
4.5.5,
4.5.6,
4.5.7,
4.5.8,
4.5.9
|
Surface Integrals Part 1,
Surface Integrals Part 2
|
|
Lec 11 (1:42:19-1:50:00) |
Lec 27 (10:15) |
| 16.8 |
4.6.1,
4.6.2,
4.6.3,
4.6.4,
4.6.5
|
Stokes' Theorem |
|
Lec 12 (1:01:20) |
Lec 31 (7:30) |
| 16.9 |
4.7.1,
4.7.2,
4.7.3,
4.7.4,
4.7.5,
4.7.6 |
Divergence Theorem |
|
Lec 12 (1:47:30) |
Lec 28 (42:30), Lec 29 |