Section # | My Notes | . | Assignment | Description / Hints |
Sec. 13.1 | 236-239 | . | 11, 13, 15, 20, 23-31(odds) | 3d-Cartesian Coordinates |
Sec. 13.2 | 240-250 | . | 7, 13, 17, 21, 24, 31, 35, 37, 39, 40, 42 | vectors |
Sec. 13.3 | 240-250 | . | 3, 8, 12, 13, 16, 20, 24, 23, 36, 40, 45, 50, 54, 56, 60 | dot product |
Sec. 13.4 | 240-250 | . | 2, 6, 10, 14, 18, 20, 23, 25, 33, 39, 43, 45, 49 | cross product |
Sec. 13.5 | 251-256 | . | 3, 6, 9 (no symmetric equation required for 6 or 9), 14, 16, 17, 18, 25, 26, 28, 32, 40, 55 | lines and planes |
Sec. 13.6 | 257-262 | . | 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 34, 36 | functions of several variables |
Sec. 14.1 | 263-268 | . | 8, 14(use Mathematica to graph curve, can pencil in direction if you wish), 25, 36, 38, 41, 42, 43 (use definition 1) | vector-valued functions |
Sec. 14.2 | 263-268 | . | 3, 9, 11, 13, 14, 15, 16, 19, 27(use Mathematica), 28(use Mathematica), 33, 34, 43, 46, 49 | calculus of vector-valued functions |
Sec. 14.3 | 269-279 | . | 1, 13, 43(you may use Mathematica to help calculate this if you wish) | arclength and moving TNB-frame |
Sec. 14.4 | 280-283 | . | 9, 15, 19, 21, 35, | motion in space |
Sec. 15.1 | . | . | 21-26 graph with Mathematica, 36, 39, 43, 62, 64 | graphing, functions of several variables |
Sec. 15.2 | 290-291 | . | 5, 7, 9 | limits and continuity |
Sec. 15.3 | 292-295 | . | 16, 22, 32, 36, 37, 40, 43, 50, 51, 61, 70a-b, 76 | basic partial derivatives |
Sec. 15.5 | 296-299 | . | 1, 2, 7, 14, 22, 25, 39, 40, 45, 53 | chain rule for several variables |
Sec. 15.4 | 311-313, 317-319 | . | 1, 3, 11, 17, 29, 30, 42(we define the tangent plane at P to be the union of all tangent vectors at P) | tangent plane and linearization |
Sec. 15.6 | 311-319 | . | 7, 12, 15, 20, 25, 28, 41a, 63 | directional derivative |
Sec. 15.7 | 320-324 | . | 8, 11, 18, 29, 41, 55*** | extrema in functions of several variables |
Sec. 16.2 | 330-342 | . | 6, 12, 13, 16, 22, 31 | basic double integrals |
Sec. 16.3 | 330-342 | . | 8, 13, 15, 16, 22, 46 | double integrals over general regions |
Sec. 16.6 | 339-343 | . | 3, 8, 12, 13, 14, 39 | triple integrals |
Sec. 16.9 | 343-359 | . | 3, 4, 6, 7, 10, 13 | the Jacobian |
Sec. 16.4 | 343-359 | . | 2, 9, 10, 16, 23, 25, 29, 36*** | double integrals in polar coordinates |
Sec. 16.7 | 343-359 | . | 1, 4, 5, 6, 7, 8, 9, 10, 11, 12, 20, 23a, 28 | triple integrals in cylindrical coordinates |
Sec. 16.8 | 343-359 | . | 1, 4, 5, 6, 7, 8, 9, 10, 11, 13, 20, 21, 22, 27, 30, 40 | triple integrals in spherical coordinates |
Sec. 17.1 | 360-365 | . | 2, 4, 6, 8, 10 (use Mathematica to plot vector fields in 2,4,6,8,10), 21, 23, 35** | vector fields |
Sec. 17.5 | 366-368, 369-372, 373-374 | . | 1, 2, 5, 10, 12, 14, 16, 18, 21, 23, 26, 27, 29, 32(use 31 and 30's results if helpful), 37, 38, 33**, 34**, 39*** | curl and divergence |
Sec. 17.2 | 385-394 | . | 1, 3, 4, 18, 20, 21, 32(use Mathematica), 45, 48 | line integrals |
Sec. 17.3 | 395-401, 400-401 | . | 12, 15, 20, 21, 26, 30, 32, 33**, 34** | FTC for line integrals, conservative forces |
Sec. 17.6 | 402-406 | . | 2, 5, 8, 19, 23, 24, 25, 26, 37, 43, 46, 55, 56, 57 | parametrized surfaces and surface area |
Sec. 17.7 | 402-406 | . | 7, 21, 22, 24, 25, 29, 44, 47 | surface integrals |
Sec. 17.4 | 412-419 | . | 1, 5, 8, 29** | Greene's Theorem |
Sec. 17.8 | 412-419 | . | 5, 6, 9, 10, 11, 16, 19*,20*** | Stoke's Theorem |
Sec. 17.9 | 421-423 | . | 6, 9, 12, 13, 14, 17, 25*, 26*, 27*, 28*, 29*, 30** | Divergence Theorem |