Name:
Math 247-002 Honors Calculus III
Fall 2012
EXAM 1 REVIEW
9/25/12
1. Let r(t) = t, cos t, sin t .
(a) Compute the unit tangent vector
(b) Compute the unit normal vector
(c) Compute the unit binor
Name:
CWID:
Math 247 Honors Calculus III
Fall 2012
Exam 3
Show all work. Answers without work will receive no credit. No calculators are allowed. There are
10 true/false questions, each worth 4 points
Name:
CWID:
Math 247 Honors Calculus III
Fall 2012
Final Exam
Show all work. Answers without work will receive no credit. No calculators are allowed. There are
15 questions worth 5 points each.
1. Fin
Name:
CWID:
Math 247 Honors Calculus III
Fall 2012
Final Exam
Show all work. Answers without work will receive no credit. No calculators are allowed. There are
15 questions worth 5 points each.
1. Fin
Name:
Math 247 Honors Calculus III
Fall 2012
FINAL REVIEW
12/4/12
1. Find the angle between the vectors 1, 1, 2 and 4, 1, 2 .
2. Suppose
r(3) = 1, 2, 1
r (3) = 2, 1, 0
s(3) = 1, 2, 3
s (3) = 2, 2, 5
C
Name:
Math 247 Honors Calculus III
Fall 2012
FINAL REVIEW
12/4/12
1. Find the angle between the vectors 1, 1, 2 and 4, 1, 2 .
Solution: Compute |v | = 6, |w| = 21, and v w = 1. Since v w = |v |w| cos
Name:
Math 247 Honors Calculus III
Fall 2012
SURFACE INTEGRALS
11/20/12
1. Let S be the portion of the parabaloid z = 4 x2 y 2 above the xy -plane. Compute the surface area of
S.
Solution: Parameteriz
Name:
CWID:
Math 247-001 Honors Calculus III
Fall 2014
Exam 4
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 110 points available on thi
Name:
CWID:
Math 247-001 Honors Calculus III
Spring 2014
Exam 3
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 108 points available on t
Name:
CWID:
Math 247-001 Honors Calculus III
Fall 2014
Exam 1
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 100 possible points on this
Name:
CWID:
Math 247-001 Honors Calculus III
Spring 2014
Exam 2
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 106 points available on t
Name:
CWID:
Math 247-001 Honors Calculus III
Fall 2014
Exam 1
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 100 possible points on this
Name:
CWID:
Math 247-001 Honors Calculus III
Spring 2014
Exam 2
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 106 points available on t
Name:
CWID:
Math 247-001 Honors Calculus III
Spring 2014
Exam 3
Show all work. Answers without work will receive no credit. No calculators are allowed on this
exam. There are 108 points available on t
Name:
CWID:
Math 247 Honors Calculus III
Fall 2012
Exam 3
Show all work. Answers without work will receive no credit. No calculators are allowed. There are
10 true/false questions, each worth 4 points
Name:
Math 247 Honors Calculus III
Fall 2012
EXAM 3 REVIEW
1. Let F = P, Q be a vector eld dened on a domain D R2 . True/False:
(a) If F is conservative, then
x Q
y P
= 0.
x Q
y P
= 0.
(c) If D is sim
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point
Name:
Math 247-002 Honors Calculus III
Fall 2012
EXAM 1 REVIEW
9/25/12
1. Let r(t) = t, cos t, sin t .
(a) Compute the unit tangent vector
(b) Compute the unit normal vector
(c) Compute the unit binor
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point
Name:
Math 247-002 Honors Calculus III
Fall 2012
EXAM 1 REVIEW
9/25/12
1. Let r(t) = t, cos t, sin t .
(a) Compute the unit tangent vector
(b) Compute the unit normal vector
(c) Compute the unit binor
Name:
Math 247-002 Honors Calculus III
Fall 2012
EXAM 1 REVIEW
9/25/12
1. Let r(t) = t, cos t, sin t .
(a) Compute the unit tangent vector
(b) Compute the unit normal vector
(c) Compute the unit binor
Line integrals
October 24, 2012
Compute
(1, 1)
C
x 2 dx +
1. 0
2.
3.
4.
1
3
1
2
2
3
5. 1
6. Something else
7. I dont know
x y
3
dy along the straight line from (0, 0) to
Compute C x 2 dx + x y dy alon
Name:
Math 247 Calclulus III
Fall 2012
EXAM 2 REVIEW Optimization & Multiple Integrals
10/29/12
1. Which of the following sets are closed and bounded?
(a) cfw_(x, y ) | x2 + y 2 < 1
(b) cfw_(x, y ) |
Name:
Math 247 Calclulus III
Fall 2012
EXAM 2 REVIEW Optimization & Multiple Integrals
10/29/12
1. Which of the following sets are closed and bounded?
[(a)]
1. cfw_(x, y ) | x2 + y 2 < 1
2. cfw_(x, y
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 2
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
12 questions, each worth 8 point
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 2
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
12 questions, each worth 8 point
Name:
CWID:
Math 247-002 Honors Calculus III
Fall 2012
Exam 1
Choose the best answer. Show all work in this booklet. No calculators are allowed on this exam. There are
11 questions, each worth 9 point