| 135450 | | Easy | |
| 135452 | | Easy | |
| 135455 | When do the fields … and … have zero curl | Easy | |
| 135456 | When does … have zero curl | Easy | |
| 135457 | …, … circle …, | Easy | |
| 135458 | …, … circle …, | Easy | |
| 135459 | …, … circle …, | Easy | |
| 135460 | …, … circle …, | Easy | |
| 135461 | (b) Second proof: The difference between those integrals is | Easy | |
| 135462 | In 15, suppose … is the top half of the earth (… | Easy | |
| 135464 | ### 19–22 find a potential … if it exists | Easy | |
| 135470 | Find all fields with | Medium | |
| 135471 | … is a spin field | Medium | |
| 135472 | (a) if its axis direction is | Medium | |
| 135473 | How is … related to the angular velocity … in the spin… | Medium | |
| 135474 | Find a vector field … whose curl is | Medium | |
| 135475 | Find a vector field … whose curl is | Medium | |
| 135476 | ### 31–34 compute … over the top half of the sphere … | Medium | |
| 135477 | | Medium | |
| 135478 | | Medium | |
| 135479 | | Medium | |
| 135480 | | Medium | |
| 135481 | The circle … in the plane … has radius … and center… | Medium | |
| 135482 | … is the top half of the unit sphere and | Medium | |
| 135483 | Find … so that | Medium | |
| 135484 | Construct … so that … (which has zero divergence) | Medium | |
| 135485 | Split the field … into … with … and | Medium | |
| 135486 | Maxwell allows varying currents which brings in the electric field | Medium | |
| 135487 | For …, compute … and … and | Deep | |
| 135488 | For …, prove these useful identities: (a) | Deep | |
| 135489 | If … (constant direction …), find curl … from Faraday's Law | Deep | |
| 135490 | With …, write out … and take its divergence | Deep | |
| 135491 | Write down Green's Theorem in the … plane from Stokes' Theorem | Deep | |
| 135492 | True or false: … is perpendicular to | Deep | |
| 135494 | "The shadow of the boundary is the boundary of the shadow." This… | Deep | |
| 135495 | Which integrals are equal when … boundary of … or … boundary… | Deep | |
| 135496 | Draw the field … spinning a wheel in the … plane | Deep | |
| 135366 | | Medium | |
| 135368 | | Medium | |
| 135370 | | Medium | |
| 135377 | The real part … and imaginary part … of … satisfy the… | Deep | |
| 135400 | Right circular cone of radius … and height | Easy | |
| 135412 | Make a “double Möbius strip” from a strip of paper by twisting… | Deep | |
| 135413 | Make a “triple Möbius strip” with three twists | Deep | |
| 135414 | If a very wavy surface stays close to a smooth surface, are… | Deep | |
| 135417 | …: unit sphere | Easy | |
| 135419 | …: unit sphere | Easy | |
| 135421 | …: sides | Easy | |
| 135449 | | Easy | |
| 135451 | | Easy | |