__This page will change throughout the semester__.

Note: Previously given exams are available below in Postscript and PDF formats.

**The First Exam:**

The first exam will be on Monday, January 24, and will cover the
material
in Chapter 12 of the text, as we discussed in class. The exam
will
be closed-book. Come prepared with paper and pencil or pen.

PDF
copy of the first exam

first
exam answers (PDF)

**The Second Exam:**

The second exam will be on Friday, February 4, and will cover the
material
on vectors (Chapter 13 of the text). The exam is closed-book, but
you will find a scientific calculator useful. As always, come
prepared
with paper and pencil or pen.

PDF
copy of the second exam

Second
exam answers (PDF)

**The Third Exam:**

The third exam will be on Tuesday, February 22, and will cover the
material on partial derivatives, gradients, and directional derivatives
(Chapter 14 of the text). The exam will be closed-book.

PDF
copy of the third exam

Third
exam answers (PDF)

**The Fourth Exam**

The fourth exam will be on Friday, March 11. Be prepared to:

- Find the global maximum and global minimum values of a function within a bounded region. (This involves enumerating the critical points within the region and enumerating the critical points on the boundary. One possibliity for obtaining the critical points on the boundary is with Lagrange multipliers.)
- Find and classify all critical points of a function. (This can be done by looking at the discriminant, but you may need to do something else, such as look at the behavior of the function in cross-sections, if the discriminant is zero.)

Fourth exam answers (PDF)

**The Fifth Exam**

The fifth exam will be on Thursday, March 24, and will cover the
material
from Chapter 16 of the text. It will be closed book, but you will
definitely need a scientific calculator to make an approximation.
Be prepared to do the following:

- Set up a triple integral and evaluate it. The triple integral will come from a word problem involving density.
- Compute a double integral using both rectangular coordinates and polar coordinates. To convert from rectangular to polar coordinates, you will need to use a trick, involving a trigonometric relationship, from a problem we did in class.

Fifth exam answers (PDF)

**The Sixth Exam**

The sixth exam will be on Friday, April 15, 2005, and will cover
material
from Chapter 17 and Chapter 18 of the text. Be prepared to do the
following:

- Write down a parameterization of a curve.
- Write down a parameterization of a surface.
- Compute a line integral.
- Determine whether or not a vector field is conservative, and find a potential function if the vector field is conservative.

Sixth exam answers (PDF)

**The Final Exam**

The final exam will be on Monday, May 2, 10:15AM to 12:45PM.
It will be closed book. A calculator might be useful, but it does
not need to be a fancy one. To study, look at past homeworks you
have done and past exams from this section and from other sections I
have
taught. Also, pay particular attention to the material we have
covered
since our last exam. Here are some specific hints:

- Expect a word problem problem dealing with computing the resultant of two vectors, the angle between vectors, etc.
- Expect a word problem dealing with the chain rule for functions of several variables.
- Expect a word problem involving optimizing a function of two or three variables.
- Expect a word problem dealing with computing the work required to traverse a parametrized curve.
- Expect a problem requiring you to apply Green's theorem.
- Expect a problem requiring you to parametrize a surface.
- Expect a problem requiring you to compute the flux of a vector field through a parametrized surface.
- Expect a problem requiring you to apply the divergence theorem (covered the last week of class).

Final exam answers (PDF)