Tufts University
Department of Mathematics
Final Examination
Math 42
May 6, 2013
8:30 10:30 a.m.
Instructions: Please do all 10 problems below. Except for Problem 1, you must show your work
and justif
Math 13
Tufts University
Department of Mathematics
Exam 1
October 17, 2011
12:00 noon to 1:20 pm
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all wo
Math 42
Calculus III
Tufts University
Department of Mathematics
Exam 1
Monday, February 22, 2016
12:001:20pm
No calculators, books or notes are allowed on the exam. All electronic devices must be turn
Math 42
Calculus III
Tufts University
Department of Mathematics
Final Exam
Monday, May 9, 2016
8:3010:30am
No calculators, books or notes are allowed on the exam. All electronic devices must be turned
Syllabus - Math 042 Spring 2016 - Calculus III
Tufts University Department of Mathematics
Sections and Instructors
01 (block B) and 04 (block F)- Jessica Dyer <[email protected]>
02 (block C) -
COMP61
Spring 2017
Homework 8
Assigned: 5 April, 2017
Deadline: 12 April, 2017 at the beginning of class
Submission Instructions:
Solutions must be typed or neatly hand-written.
Bring a hard copy of
COMP61
Spring 2017
Exam #2 Review Sheet
Umm why are we able to edit this? - Concerned student
Exam #2 is on Wednesday, February 12th. It will be given during the scheduled lecture. No notes, books,
ph
1
Assignment 7 (due March 10 for 42-03, 42-04)
Please write careful answers, showing your work and justifying each step. Hand in your responses
in class by the given due date.
Question 1 Consider the
1
Assignment 8 (due Friday March 17 for 42-03 and 42-04)
Question 1 Sketch the solid bounded by the xyplane, the plane y + z = 1 and the parabolic
cylinder y = x2 . Set up an iterated triple integral
1
Assignment 10 (due Friday April 7th for 42-03, 42-04)
Question 1 Define the vector field
~ (x, y, z) = (2xyex2 y )~i + (x2 ex2 y + 3z + 1)~j + (3y + 2z cos z 2 )~k
F
(a) Is F~ conservative?. If it i
Please write careful answers, showing your work and justifying each step. Hand in your responses
in class by the given due date.
1
Assignment 12, due Friday, April 21st, for 42-03 and 42-04
RR
Questio
Please write careful answers, showing your work and justifying each step. Hand in your responses
in class by the given due date.
1
Homework 11, due Friday April 14th for 42-03, 42-04
Question 1 Give a
1
Assignment 9 (due Friday March 31 for 42-03 and 42-04)
Question 1 Sketch the region of integration for the following triple integral
Z Z 2Z 2 2
1x
1
0
0
4x y
(x2 + y 2 + z 2 ) dz dy dx.
3x2 +3y 2
Co
1
Written Homework 3 : Due Friday, Feb 10 (for sections 42-03
and 42-04)
Please write careful answers, showing your work and justifying each step. Hand in your responses
in class by the given due date
1
Written Homework : Due Friday, Feb 3rd (for sections 42-03
and 42-04)
Please write careful answers, showing your work and justifying each step. Hand in your responses
in class by the given due date.
1
Assignment 4
Due Friday, February 17 for sections 42-03, 42-04
Question 1 Let
f (x, y) = 5x4 + x3 y + xy + y 4 .
(a) Find a unit vector in the direction of maximum increase of the function at the po
Math 13
Tufts University
Department of Mathematics
Exam 1 Solutions
Februrary 27, 2012
12:00 pm to 1:20 pm
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must s
Tufts University
Department of Mathematics
Exam 2
Math 42
April 1, 2013
Noon1:20 p.m.
Instructions: Please do all nine problems below. Except for Problem 1, you must show your
work and justify your an
Math 42
Tufts University
Department of Mathematics
Exam 1
February 21, 2013
Noon1:20 p.m.
Instructions: Please do all nine problems below. Except for Problem 1, you must show your
work and justify you
Tufts University
Department of Mathematics
Final Exam
Math 13
May 7, 2012
8:30 am to 10:30 am
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all work
Tufts University
Department of Mathematics
Exam 2
Math 13
April 2, 2012
12:00 pm to 1:20 pm
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all work to
Math 13
Tufts University
Department of Mathematics
Exam 1
Februrary 27, 2012
12:00 pm to 1:20 pm
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all wo
Tufts University
Department of Mathematics
Final Exam Solutions
Math 42
Spring 2013
1. (10 points) True or False no partial credit.
(a) The line x = 2 t, y = 1 + 3t, z = 1 + t is perpendicular to the
Tufts University
Department of Mathematics
Final Exam
Math 13
May 7, 2012
8:30 am to 10:30 am
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all work
Math 42
Final Examination
Solutions
Fall, 2012
1. (15 points) For each item below, box in your answer. In (b) and (c), we will look only at
your boxed-in answer .
(a) Calculate the vector projection (
Tufts University
Department of Mathematics
Final Exam
Math 13
December 16, 2011
8:30 to 10:30 am
Instructions: No calculators, notes or books are allowed. Unless otherwise stated, you must show
all wo
Math 42
Final Examination
Dec. 14, 2012
8:30-10:30 AM
Fall, 2012
As voted by the math department: You are required to sign your exam book. With your signature
you are pledging that you have neither gi