http://interval.louisiana.edu/courses/302/spring-2003-math-302_exam_hints.html

### Math. 302-02, Spring, 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.

This page will change throughout the semester.

/ The First Exam / The Second Exam / The Third Exam / The Fourth Exam / The Fifth 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 Second Exam:
Suggestion: Work the exams from previous years that are posted at http://interval.louisiana.edu/courses/302/spring-2003-math-302.html.  In any case, be prepared to do the following:

• Write down functions corresponding to level surfaces.
• Determine whether or not functions of two variables have limits, and find the limits if they do.
• Work a word problem involving vectors and dot products.
• Understand how to apply the cross product.
• Find equations of planes.
Postscript copy of the second exam
Adobe Acrobat (PDF) copy of the second exam
Answers, page 1
Answers, page 2
Answers, page 3

The Fifth Exam
The fifth exam will be on Thursday, April 17.  In addition to studying problems on the previous exams, examples given in class, and all of the homework on the syllabus, you should also pay careful attention to the general problems concerning changes of variables in double integrals.
Postscript copy of the fifth exam
Adobe Acrobat (PDF) copy of the fifth exam
Answers, page 1
Answers, page 2
Answers, page 3
Answers, page 4

The Final Exam
The final exam will be on Thursday, May 15, 2003 at 7:30AM. In addition to studying the previous exams from this course and the exams and final exams from previously taught sections that I have taught, know the following:

• Know about directional derivatives, direction of maximum ascent, and direction of maximum descent.
• Know how to produce a vector of length 1 in the same direction as a given vector.
• Know how to parametrize lines, circles, and other curves.
• Know how to find and classify critical points of a function of two variables.  (You will need to memorize the second derivative test for functions of two variables.)
• Know how to change a triple integral to spherical coordinates, and know how to evaluate such integrals.
• Know how to use symmetries in integrands (to determine if integrals are positive, negative, or zero).
• Know how to write down parametric equations for planes and spheres.
• Know how to write down single equations that characterize planes (including using cross products to get normal vectors).
• Know how to compute work characterized as a line integral.
• Know how to use Green's theorem to compute a line integral over a closed curve.  (You will need to memorize Green's theorem.)
Postscript copy of the final exam
Adobe Acrobat (PDF) copy of the final exam
Answers, page 1
Answers, page 2
Answers, page 3
Answers, page 4