| 30 April (-ish) |
(A) We are given a vector field F(x,y,z) = (yz, zx,xy) in space.
We have a smooth path C that starts at (2,1,1), follows a humdingy loop around
the z-axis, then dramdongles around the y-axis, lobes around the x-axis, and
finally ends at (1,4,11).
Compute the path integral of F along path C. (B) We are given a vector field G(x,y,z) = (xyz, cos(y^2) + y*e^x, cos(x+z^2)) in space. We have a closed oriented surface S, the ellipsoid given by equation 3*x^2 + 5*y^2 + 7*z^2 = 11 and pointing outwards. Compute the flux integral of curl(G) over closed surface S. (C) We are given a vector field H(x,y,z) = (2*x*y, -y^2, sin(x^2-y^2)). We have a closed surface T, the surface of what looks like a giant potato, pointing outwards. Compute the flux integral of H over closed surface T. |
| 28 April (-ish) | Section 21.3: 2, 4, 8 |
| 28 April (-ish) |
Section 21.2: 4, 6 Section 21.1: 2, 4, 16, 22 |
| 23 April (-ish) | Section 20.3: 22, 28 |
| 21 April (-ish) | Section 20.3: 6, 11, 16 |
| 21 April (-ish) | Section 20.2: 4, 10, 14, 28 |
| 16 April (-ish) |
Section 20.2: 2 Section 20.1: 4, 10, 14, 16, 30 |
| 14 April (-ish) | Section 19.4: 2, 8, 22 |
| 7 April (-ish) |
Section 19.3: 8, 24 Section 19.2: 18 |
| 7 April (-ish) |
Section 19.2: 6, 10 Section 19.1: 2, 4, 18 |
| 2 April (-ish) | Section 18.4: 4, 6, 14 |
| 31 March (-ish) | Section 18.3: 2, 4, 21 |
| 26 March (-ish) |
Section 18.2: 12, 18 Section 18.1: 6, 10 |
| 24 March (-ish) |
Section 17.4: 4, 8, 20 Section 17.3: 8, 12, 28 |
| 24 March (-ish) |
Section 17.2: 8, 28 Section 17.1: 8, 16, 26 |
| 19 March (pretend) | Section 16.5: 6, 8, 11 |
| 17 March (as if...) |
Section 16.5: 2, 4 Section 16.4: 10, 16, 21 |
| 17 March |
Section 16.4: 4 Section 16.3: 36, 46 Section 16.2: 48 |
| 5 March |
Section 16.3: 2 Section 16.2: 22, 24, 40, 44 |
| 3 March |
Section 16.2: 6 Section 16.1: 4, (8, 10) |
| 3 March | Section 15.3: 10, 12, 20 |
| 27 February | Section 15.3: 22, 28, 48 (work with square of distance) |
| 25 February | Section 15.3: 2, 6, 14 |
| 25 February |
Section 15.2: 10, 12 Section 15.1: 24, 28 |
| 20 February | Section 15.1: 2, 6, 14, 16 |
| 18 February | Section 14.7: 2, 6, 16, 40 Q(x,y) only |
| 13 February | Section 14.6: 6, 8, 16 |
| 11 February | Section 14.5: 12, 36, 40, 48 |
| 11 February |
Section 14.5: 18, 32 Section 14.4: 46, 52 |
| 6 February |
Section 14.4: 8, 20 Section 14.3: 4, 12, 26 |
| 4 February |
Section 14.2: 2, 26 Section 14.1: 10, 14, 30 |
| 4 February | Section 13.4: 12, 14, 24, 32 |
| 30 January |
Section 13.4: 6, 8 Section 13.3: 44, 54b |
| 28 January | Section 13.3: 2, 6, 10, 16, 22, 38 |
| 28 January |
Section 13.2: 14, 16 Section 13.1: 34, 38, 40 |
| 23 January |
Section 13.1: 8, 16 Section 12.6: 16, 25 |
| 21 January |
Section 12.5: 4, 26 Section 12.4: 2, 8, 10 |
| 16 January |
Section 12.3: 16, 24, 32 Section 12.2: 27, 30 |
| 14 January |
Section 12.2: 6, 16 Section 12.1: 4, 6, 8, 12, 16, 36 |