http://interval.louisiana.edu/courses/302/fall2003math302_exam_hints.html
Math. 30202, Fall, 2003 Hints for the Exams
Instructor: R.
Baker Kearfott, Department
of Mathematics, University of Louisiana
at Lafayette
Office hours
and telephone, Email: rbk@louisiana.edu.
Click
here for the home page for the course.
This page will change throughout the semester.
/ The
First Exam / The
Second Exam / The
Third Exam / The
Fourth Exam / The
Final Exam /
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:

Be able to compute first and secondorder partial derivatives of a function,
and know what these derivatives mean.

Be able to work a word problem involving gradients and directional derivatives.

Be able to use the chain rule for functions of two variables in a word
problem.

Understand (and be able to write down) the tangent plane for a function
of two variables.
Postscript
copy of the second exam
Adobe
Acrobat (PDF) copy of the second exam
Answers,
page 1
Answers,
page 2
The Third Exam:
The third exam will be Monday, October 20. Be able to do the
following:

Find and classify all critical points of a function of two variables.

Find the global minimum and global maximum of a function defined within
a closed and bounded region.

Use Lagrange multipliers to find the maximum and minimum of a function
over a curve defined by an equality constraint.
You will be able to solve the systems of equations you obtain by hand.
However, you should know the material well, as you may be slightly short
of time.
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 closedbook. Be able to do the following:

Set up and evaluate an integral using polar coordinates.

Set up and evaluate an integral over a plane region using rectangular coordinates.

Set up and evaluate a triple integral using either rectangular or spherical
coordinates.

Compute arc length, given a curve's parametrization.

Parametrize some commonly occurring curves.

Determine whether two objects collide, whether the paths of two objects
intersect, and whether the path of an object intersects a surface.
Postscript
copy of the fourth exam
Adobe
Acrobat (PDF) copy of the fourth exam
Answers,
page 1
Answers,
page 2
Answers,
page 3
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:

Compute the equation of a plane through three points.

Compute and use tangent planes, tangent regions (for functions of 3 variables),
and differentials

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.

Use Green's theorem.

Compute a flux integral. Here, you will need to know about parametrizing
surfaces.

Compute a line integral. Here, you will need to know about parametrizing
curves.
Postscript
copy of the final exam
Adobe
Acrobat (PDF) copy of the final exam
Answers,
page 1
Answers,
page 2
Answers,
page 3