---- Thanks to Jeff Macleod for the Desmos code.
Animation 2: The image of the square [1,2] x [1,2] under the quadratic map F(u,v) = (u-v^2, v-u^2).
Animation 3: The image of the curve x^(2/3) + y^(2/3) = 1 under the linear map F(u,v) = (1+2u+v, 2+u+2v).
Animation 4: Cardioids r = a + cos(theta)
| Wed Aug 30 | Sect 12.1 | Coordinates |
Exer. 3, 4, 5, 6, 11, 13, 22, 40, 44, 47.
Scan of exercises in sections 12.1 and 12.2 |
| Fri Sept 1 | Sect 12.2 | Vectors | Exer. 4, 6, 7, 12, 13, 21, 22, 25, 26, 27, 43, 44, 45, and optionally 8, 51, 52. |
| Mon Sept 4 | No class | Labor Day | |
| Tue Sept 5 | Questions, quiz and worksheet. | ||
| Wed Sept 6 | Sect 12.3 | Dot product | Exer. 1, 2, 4, 6, 7, 11, 14, 15, 18, 24, 25, 26, 27, 39, 41 and optionally 29, 31, 32, 53, 55. |
| Fri Sept 8 | Sect 12.5 | Lines and planes | Exer. 1, 2, 4, 5, 13,14,16, 19, 20, 23. |
| Mon Sept 11 | Sect 12.5 | Lines and planes | Exer. 26, 28, 30, 32, 35, 48, 50, 57, 61, 63, and optionally 75, 76, and 79. |
| Tue Sept 12 | Sect 12.4 | Cross product | Exer. 1, 3, 7, 9, 13, 19, 27, 33, 34, 37. |
| Wed Sept 13 | Questions, quiz and worksheet. | ||
| Wed Sept 13 | Sect 13.1 | Curves | Exer. 1, 3, 7, 10, 11, 12, 15, 17, 27, 28, 42, 44, 49, and optionally 21-26. |
| Fri Sept 15 | Sect 13.2 | Calculus on curves | Exer. 3, 4, 9, 10, 16, 17, 19, 23, 25, 27, 33, 41 and optionally 53, 54. |
| Mon Sept 18 | Sect 13.3 | Arc length and curvature | Exer. 1, 2, 11, 13, 15, 17, 19, 25, 31 and optionally 46. |
| Tue Sept 19 | Sect 13.4 | Velocity and acceleration | Exer. 1, 2, 3, 5, 6, 9, 11, 15, 19, 22, 30, 37, 39, 40. |
| Wed Sept 13 | Questions, quiz and worksheet. | ||
| Fri Sept 22 | Test 1 | ||
| Mon Sept 25 | Sect 14.1 | Multivariable functions | Exer. 9, 10, 12, 13, 17, 20, 24, 27, 32, 38, 45-47. |
| Tue Sept 26 | Sect 14.2 | Limits and Continuity | Exer. 1, 5, 7, 9, 16, 26, 29, 32. |
| Wed Sept 27 | Sect 12.6 | Quadric surfaces | Exer. 1, 3, 5, 9, 11, 13, 16, 18, 21-28, 43 and optionally, but especially, 51. |
| Fri Sept 29 | (cont.) | ||
| Mon Oct 2 | Quiz | Limits | |
| Tue Oct 3 | Sect 14.3 | Partial derivatives | Exer. 15, 17, 18, 21, 23, 32, 39, 41, 42, 47-50, 51, 52. |
| Sect 14.3 | (cont.) | Exer. 53, 55, 56, 59, 60, 63, 66, and especially 74. | |
| Wed Oct 4 | Sect 14.4 | Tangent planes | Exer. 1, 3, 6, 14, 18, 19, 21, 31, 33, and optionally 39, 42. |
| Fri Oct 6 | Quiz | ||
| Mon Oct 9 | Sect. 14.5 | Chain Rule | Exer. 1, 3, 7, 12, 13, 17, 21, 27, 28, 38 and optionally, 49, 55. |
| Tue Oct 10 | Sect 14.6 | Directional derivatives | Exer. 4, 5, 7, 8, 12, 13, 21, 22, 25, 28, 43, 44, 54, 55, 58, 59, 61. |
| Wed Oct 11 | Sect 14.7 | Max/Min | Exer. 1, 3, 5, 7, 9, 21, 23, 31, 33, 37, 41, 43, 44, 45, and optionally, 39. |
| Fri Oct 13 | Sect 14.8 | Lagrange Multipliers | Exer. 3 - 6, 8, 9, 12, 15, and optionally 17, 19, 21. |
| Oct 16 & 17 | Chap 14 Review | ||
| Wed Oct 18 | Test 2 | ||
| Fri Oct 20 | Test review | ||
| Mon Oct 23 | Finish max/min. | ||
| Tue Oct 24 | Sect 15.1 | Integrals in 2D | Exer. 1, 5, 16, 17, 18, 21, 29. |
| Wed Oct 25 | Sect 15.2 | More integrals in 2D | Exer. 1, 2, 4, 11, 12, 13, 15, 17, 19, 23, 27, 45, 46, 49, 51, 53. |
| Fri Oct 27 | Sect 15.3 | Polar Coordinates | Exer. 1, 2, 4, 5, 7, 8, 10, 11, 13, 15-17, 19, 20, 22, 25, 28, 29, 37, and optionally 38, 40, 41. |
| Mon Nov 6 | Polar examples | ||
| Tue Nov 7 | Sect 15.5 | Surface Area | Exer. 1, 2, 5, 9, 10, 12, 24. |
| Wed Nov 8 | Sect 15.6 | Triple Integrals | Exer. 3, 5, 7, 10, 12, 15, 12, 21, 35. |
| Fri Nov 10 | Cyl Coord | Sect 15.7 | Exer. 1, 3, 5-7, 9, 13, 16, 23, 24. |
| Spher Coord | Sect 15.8 | Exer. 3, 5, 6, 7, 8, 15, 21, 23, 28, 35. | |
| Fri Nov 17 | Test 3 | ||
| Mon Nov 20 | Test 3 review | ||
| Tue Nov 21 | Sect 16.1 | Vector fields | Exer. 1, 2, 11-14, 21-23, 26. |
| Wed Nov 22 | No class | Thanksgiving break | |
| Fri Nov 24 | No class | Thanksgiving break | |
| Mon Nov 27 | Sect 16.2 | Line integrals | Exer. 1, 6, 7, 9, 10, 14, 15, 19, 20, 30a, 31, 40. |
| Tue Nov 28 | Sect 16.3 | Conservative fields | Exer. 1-6, 12, 13, 15, 20, 23, 28. |
| Wed Nov 29 | (cont) | ||
| Fri Dec 1 | Sect 16.4 | Green's Theorem | Exer. 1 - 4, 5, 8, 11, 13, 17, 19, and optional, but interesting, 21, 22. |
| Mon Dec 4 | Sect 16.5 | Curl and Div | Exer. 1-3, 12, 13-16, 19-21. |
| Tue Dec 5 | Sect 16.6 | Surfaces | Exer. 3, 4, 19, 21, 33, 34, 50, 51. |
| Wed Dec 6 | Sect 16.7 | Surface Integrals | Exer. 5-9, 22, 23, 25. |
| Fri Dec 8 | Sect 16.8 | Stokes's Theorem | Exer. 1, 2, 5, 7, 9, 11, 13, 16. |
| Dec 8 | Sect 16.9 | Gauss's Theorem | Exer. 1-4, 8, 10, 19, 25. |
| Mon Dec 11 | Classes end | ||
| Mon Dec 18 | FINAL EXAM | 8:00 - 10:00, 123 State Hall | |