| 1.1 3D |
OSC3 2.2 #65, 67, 71, 73, 75 |
| 1.2 Vectors |
OSC3 2.1 #1-13 odd, 21; OSC3 2.2 #77-103 odd, 115 |
| 1.3 Dot Product |
OSC3 2.3 # 123-137 odd, 141, 143, 167-171 odd |
| 1.4 Matrices and determinants |
OSP 9.5 #7-23 odd; OSP 9.7 #27, 29; OSP 9.8 #5, 7, 9, 15, 17, 21 |
| 1.5 Cross product |
OSC3 2.4 # 183-191 odd, 195 |
| 1.6 Lines and Planes |
OSC3 2.5 # 243-251 odd, 267-273 odd, 277, 281, 289-293 odd |
| 1.7 Cylindrical and spherical coordinates |
OSC3 2.7 # 363-371 odd, 379, 381, 385-393 odd, 403-409 odd |
| 2.1 Vector valued functions |
OSC3 3.1 # 5-25 odd |
| 2.2 Calculus of vector valued functions |
OSC3 3.2 # 41-45 odd, 49-57 odd, 67 |
| 2.3 Arc length |
OSC3 3.3 # 103, 107, 109, 111, 115, 119, 127, 129 |
| 2.4 Tangent, normal, binormal |
OSC3 3.3 # 117 (book key incorrect?), 121, 125 (find B also), 141, 143 |
| 2.5 Motion in space |
OSC3 3.4 # 155-163 odd, 173-177 (ignore the graph) |
| Conics review |
OSC3 1.5 # 255, 257, 263, 267, 271 |
| 2.6 Polar Conics |
OSC3 1.5 # 279-295 odd, 296 |
| 3.1 Functions of several variables |
OSC3 4.1 # 1-19 odd, 39, 42, 43, 46, 47, 49, 53 |
| 3.2 Limits and contiunity |
OSC3 4.2 # 61-77 odd, 91, 93, 97, 103 |
| 3.3 Partial derivatives |
OSC3 4.3 # 113-125 odd, 129-137 odd |
| 3.4 Differentiability |
OSC3 4.4 # 171-175 odd, 195, 199, 207 |
| 3.5 Linear transformations |
Homework handout: webpage pdf |
| 3.6 Chain rule |
OSC3 4.5 # 221-229 odd |
| 3.7 Directional derivatives and gradient |
OSC3 4.6 # 263-273 odd, 281 |
| 3.8 Level surfaces and tangent planes |
OSC3 4.6 # 303a, 305a |
| 4.1 Rotation of axes |
OSP 10.4 # 23, 25, 29 |
| 4.2 Optimization |
OSC3 4.7 # 319-327 odd, 331, 339 |
| 4.3 Constrained optimization |
OSC3 4.7 # 349, 351, 357 |
| 4.4 Lagrange multipliers |
OSC3 4.8 # 359, 365, 367, 369 |
| 5.1 Double integrals |
OSC3 5.1 # 13-19 odd (do both ways), 21, 23 |
| 5.2 More double integrals |
OSC3 5.2 # 65, 75, 77, 79 (both ways), 97 (both ways) |
| 5.3 More more double integrals |
OSC3 5.2 # 103, 105 (tricky - do last), 109, 111, 113 |
| 5.4 Polar coordinates |
OSC3 5.3 # 135, 137 (long), 149-155 odd |
| 5.5 Parametric surfaces and surface area |
OSC3 6.6 # 273-277 odd, parametrize the torus Guichard 15.4 # 1-3 (for #1, let the cone open along the y-axis) |
| 5.6 More surfaces |
Guichard 16.6 # 3, 4, 5, 7; |
| 5.7 Triple integrals |
OSC3 5.4 # 181, 183, 197, 225, 229, 231 |
| 5.8 Cyl/Sphere Coordinates |
OSC3 5.5 # 241, 243, 249, 253, 269, 283, 291 |
| 5.9 Change of Variables |
handout |
| 5.10 Centers of Mass |
handout |
| 5.11 Disks and shells |
handout |
| 5.12 Pappus’ Theorem |
handout |