Math 211: Exam III Review
Exam III will be on Thursday April 16 and it will cover sections 15.3-15.4, 16.1-16.5
and maybe 17.1 from the textbook. These are some of the things I expect you to be able to
do on the exam.
(1) Compute things
•triple integrals over general regions in various coordinate systems
•line integrals of scalar functions and vector fields using a parametrization of a curve
•determine if a vector field is a gradient vector field
•find potential functions from gradient vector fields
•line integrals using a potential function
•parametrize a surface
•surface integrals of scalar functions and vector fields using a parametrization of a
surface
•(maybe, I’ll tell you on Monday 4/13) calculate a line integral or area using Green’s
Theorem
(2) Understand the relationship between conservative and gradient vector fields
(3) Understand the physical/geometric interpretations of the above computations
(4) Make sure you understand all of the material from earlier this term that we are currently
using, parametrizations, for example, but there are many other things as well.
The best way to study for the exam is to do as many problems as you can stand. Redo the
quizzes, the homework problems and other recommended problems. On Wednesday before the
exam class will be devoted to answering questions. So if you have questions, bring them to class
on Wednesday.
You will not need to simplify your answers. But you will need to show all of your work: you will
not receive credit if you do not show your work.
1