Math 13 Homework #21

Nothing is so strong as gentleness;
nothing so gentle as real strength.
St. Francis de Sales

Reading

Read what we will cover in the next class: 14.2, 14.3.

When reading 14.2 pay special attention to the following concepts:

  • line integrals in space and line integral of vector fields
When reading 14.3 pay special attention to the following concepts:
  • Pay special attention to the theorems in this section. There are many of them and each is significant for its own reasons. After you read each theorem, try to express it in your own words and ask questions like what? when? why?. Also think about the following: The Fundamental Theorem of Line Integrals, path independence, relations between conservative vector fields and partials obtained from the parametrization, make sure you understand what is happening in examples 2 - 5.

Problems

The following problems should be turned in TO ME by the beginning of class on Monday 11/16:
  • 14.2: 27.
The following problems should be turned in TO THE BOX by the beginning of class on Monday 11/16:
  • 14.2: 1, 3, 7, 11, 17, 19, 21a, 37.