### Week 12 -- Sections 7.5-7.6

#### Short-term objectives

- Evaluate line and surface integrals by the integral theorems, when
appropriate. (Sec. 7.5)
- Evaluate line and surface integrals by projection or parametrization,
within the "algebraic viewpoint", when appropriate. (Sec. 7.6)
- Evaluate line and surface integrals within the "geometric viewpoint",
when appropriate. (Sec. 7.6)
- Recognize which method is appropriate in any particular case!
(Sec. 7.5, 7.6)
- Construct a potential for a given conservative (curl-free) vector field.
(Sec. 7.5)
- Recognize topological restrictions on the existence of scalar and vector
potentials. (Sec. 7.5)

#### Long-term objectives

- Appreciate the geometrical significance and integral definition of
divergence and curl . (Sec. 7.5)
- Appreciate the analogies between the various methods for evaluating line
and surface integrals. (Sec. 7.6)