Math 324
Sample Questions for Midterm 2
Autumn, 2011
1
ADDED PROBLEM 4 ON TUESDAY 11/15.
See also: recent quizzes, the actual quiz and the samples, esp. quiz 3 (on parametrizing surfaces);
MT 2 review
MATH 324A (Autumn 2009)
Practice Final Exam
Student name:
Student number:
Signature:
Do not start working until instructed to do so.
You have 110 minutes.
Please show your work.
Scientic, but not grap
MATH 324A (Autumn 2009)
Practice Midterm
Student name:
Student number:
Signature:
Do not start working until instructed to do so.
You have 50 minutes.
Please show your work.
Scientic, but not graphing
MATH 324A (Spring 2010)
Midterm
Student name:
Student number:
Signature:
Do not start working until instructed to do so.
You have 50 minutes.
Please show your work.
Scientic, but not graphing calculat
MATH 324A (Autumn 2009)
Final Exam
Student name:
Student number:
Signature:
Do not start working until instructed to do so.
You have 110 minutes.
Please show your work.
Scientic, but not graphing calc
MATH 324A (Autumn 2009)
Midterm
Student name:
Student number:
Signature:
Do not start working until instructed to do so.
You have 50 minutes.
Please show your work.
Scientic, but not graphing calculat
Math 324
Midterm Exam
Summer 2011
Print your name:
This exam has 6 questions on 5 pages, worth a total of 50 points.
Problem Points Score
1
4
2
6
3
10
4
10
5
10
6
10
Total
50
You should:
write comple
Math 324
Final Exam, page 1 of 4
Summer 2011
1. (4 points) Let f = x + xy + y , and let C be the curve below, with endpoints (4, 0) and
(5, 3), and oriented in the clockwise-ish direction.
(5,3)
3
2
1
Math 324
Final Exam
Summer 2011
Print your name:
Problem
Points Score
1
4
2
10
3
10
4
10
5
11
Take home
15
Total
60
Check one:
_ I would like my exam placed in a box outside Nathans office from Saturd
Math 324B
FINAL PRACTICE EXAM
Notes (these pertain to the real exam too): (1) If you use a major theorem (Green,
Stokes, etc.), mention it by name! (2) Its OK to use shortcuts in evaluating integrals
Math 324B
SECOND PRACTICE EXAM
tan z
+ 2 ln y , and v = (2x 3y )3 .
x2
a. Compute w/x, w/y , and w/z in terms of the partial derivatives of f .
b. Considering w as a function of x, y , and z , what is
Math 324B
FIRST PRACTICE EXAM
(a bit longer than the real exam)
1. Let D be the region between the line y = 3x + 4 and the parabola y = 4 x2 . Express
2x dA as an iterated integral in two ways (dy dx
Math 324
Additional review problems for Final Exam
1
1. Consider two vector elds: F = x + z, 1, x and G = y , x, ez .
a) For each of the two elds, determine whether it is conservative. Show your reaso
Math 324B
Midterm 1
April 17, 2009
1
Your Name:
Problem
Points
Possible
1
11
2
10
3
11
4
10
5
8
Total
50
Turn o and put away cell phones, graphing calculators, books, and notebooks.
You may use one
M324 CORRECTED Solns. for MT2 Sample Questions Fall, 2011 1
f = (cos y, x sin y + ez , yez ), so
Problem 1. (a)
f (2, 3, 1) = i + ej + 3ek.
(b) Let w be the vector from (2,3,1) to (5,3,5). Then r (0)