16.7
Know how to do triple
integrations.
Know how to find the bounding surfaces.
Know how to find the region D (that is, the projection
of the solid).
Know how to
find the volume, the mass, and the center of mass of a solid.
16.8
Know how to use
spherical and cylindrical coordinates for triple integration.
17.1
Know the definition of a
conservative vector field.
You will not be asked to
sketch vector fields.
17.2
Be able to compute line
integrals for functions and for vector fields.
Know the meaning of line integrals (work, mass and
center of mass of a wire).
Know how to parameterize a circle.
Know how to
parameterize a line segment between two given points.
17.3
KNOW and UNDERSTAND the
statement of the Fundamental Theorem for Line Integrals (that is, Theorem 2 on
page 1110).
KNOW and UNDERSTAND its proof.
Know that the line integral of a conservative vector field over a
closed curve is 0 (why?)
Know that the line integral of a conservative vector field is path
independent (why?)
Know how to
find a potential function f.
17.4
Know GreenŐs Theorem.
Be able to do
all the HW assignments.
17.5
Know the definition of
div and curl.
Know
that a vector field F defined on
R^3 is conservative if curl F=0
(why?)
Know how to
find a potential function if F is
conservative.
17.6
Know how to find
parametric equations of a sphere, a cylinder (along the x, y, or z-axis),
a
surface given by z=g(x,y), or y=g(x,z), or x=g(y,z).
Know how to find the equation of a tangent plane for a parametric
surface.
Know
how to compute the surface area of a surface
Make statements on your test.
(For instance: Write equal signs whenever you think two expressions are equal.)
Use a pencil and write legibly.