Click here for the home page for the course.

This page will change throughout the semester.

Note:  Previously given exams are available below in Postscript format, that can be printed with a Postscript printer.  The files can also be viewed and printed with Ghostscript and GSview. I have also provided Adobe Acrobat (PDF) copies.

The First Exam:
Postscript copy of the first exam
Adobe Acrobat (PDF) copy of the first exam
Answers, page 1
Answers, page 2

The Second Exam:
The second exam will be Friday, September 26.  Be able to do the following:

1. Be able to compute first- and second-order partial derivatives of a function, and know what these derivatives mean.
2. Be able to work a word problem involving gradients and directional derivatives.
3. Be able to use the chain rule for functions of two variables in a word problem.
4. Understand (and be able to write down) the tangent plane for a function of two variables.

The Third Exam:
The third exam will be Monday, October 20.  Be able to do the following:

1. Find and classify all critical points of a function of two variables.
2. Find the global minimum and global maximum of a function defined within a closed and bounded region.
3. Use Lagrange multipliers to find the maximum and minimum of a function over a curve defined by an equality constraint.

Postscript copy of the third exam
Adobe Acrobat (PDF) copy of the third exam
Answers, page 1
Answers, page 2
Answers, page 3
 

The Fourth Exam
The fourth exam will be Thursday, November 13.  The exam will be closed-book. Be able to do the following:

1. Set up and evaluate an integral using polar coordinates.
2. Set up and evaluate an integral over a plane region using rectangular coordinates.
3. Set up and evaluate a triple integral using either rectangular or spherical coordinates.
4. Compute arc length, given a curve's parametrization.
5. Parametrize some commonly occurring curves.
6. Determine whether two objects collide, whether the paths of two objects intersect, and whether the path of an object intersects a surface.

The Final Exam
The final exam will be on Monday, December 1, 2003 at 7:30AM in our normal class meeting room (MDD 302). Be prepared to do the following:

1. Compute the equation of a plane through three points.
2. Compute and use tangent planes, tangent regions (for functions of 3 variables), and differentials
3. Compute the average value of a function of three variables.  Here, you will be required to write down an exact expression, not a numerical approxximation.  You will also need to know about integration using cylindrical and/or spherical coordinates.
4. Use Green's theorem.
5. Compute a flux integral. Here, you will need to know about parametrizing surfaces.
6. Compute a line integral.  Here, you will need to know about parametrizing curves.