Name:
Northwestern University
Id #:
Math 220 Final Exam
Fall Quarter 2011
December 7, 2011
Put a check mark next to your instructors name and section:
Goldstein 8:00
Eischen
9:00
Savitt
11:00
Marshall 12:00
Bode
2:00
Points Score
possible
1
10
2
12
3
12
4
Northwestern University
Math 220
Midterm Exam 1
February 2, 2015
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This exam has 8 problems and 8 pages.
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Northwestern University
Math 220
Test 2
November 18, 2014
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This exam has 7 problems and 10 pages.
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Northwestern University
Math 220
Midterm 2
March 2, 2015
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This exam has 7 problems and 10 pages.
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Northwestern University
Math 220
Final Exam
December 10, 2014
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This exam has 15 problems and 20 pages.
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Northwestern University Me \1
Math 220 Test 1
October 21, 2014
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0 This exam has 7 problems.
0 Read each problem carefully.
0 Write legibly.
0 Cross off anything you do not wish graded.
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0 Pl
Northwestern University
Math 220 Midterm Exam 1
February 2, 2015
Name: St: [5144033 8 Email:
NetID: StudentID:
Instructions:
0 This exam has 8 problems and 8 pages.
0 Make sure that all pages are included.
0 Read each problem carefully.
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I
Northwestern University
Math 220 Test 2 AM we‘, [(01
November 18, 2014
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0 This exam has 7 problems and 10 pages.
0 Make sure that all pages are included.
0 Read each problem carefully.
o Write legibly.
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Northwestern University
Math 220 Final Exam
December 10, 2014
Name: Email:
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Instructions:
0 This exam has 15 problems and 20 pages.
a Make sure that all pages are included.
0 Read each problem carefully.
0 Write legibly.
0 DO NOT write Ou
Northwestern University
Math 220 Final Exam
March 16, 2015
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0 S
Northwestern University
Math 220 Midterm 2
March 2, 2015
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0 This exam has 7 problems and 10 pages.
0 Make sure that all pages are included.
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Math 2‘20 \z\f’<:>1‘ksl'1eet #2.F Fall 201.55
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Instructions:
1. W'z'jtic your Name. $i-udcnt, ED, Net“) and Pru‘mcr’ﬁ Netli) in the spaces provided.
2. (laminate the {(Jiinwing pmhle‘n‘m i‘IJgE-fi'hifi" with
Illsstructions:
Math 220 “501‘11811061’ #3F Fall 2015
Student ED:
Partner’s NetID: _
1. Write your Name. Student [13. CL”) and }"eu'l:tmr's Neill) in 1.111" spaces provided.
2-. (701113)}.(2110 the fbllmviug' gnublvms together with your pairtnaiw.
Ytim ma
Northwestern University
Math 220
Final Exam
March 16, 2015
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This exam has 12 problems and 16 pages.
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Problem 1 (12 points). Determine whether the statement is true or false. In order to be true,
the statement must always be true under the specied conditions.
5
= .
(1) arcsin sin
4
4
True
False
(2) f (x) = (x 1)(x 3) is increasing on (, 1).
True
False
(3)
Math 220 Worksheet #1, Fall 2014
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should) work together, but each of you will turn in your own worksheet. This worksheet is
worth 8 points.
. . .
Northwestern University
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ID Number:
Math 220 Final Exam
Fall Quarter 2012
December 12, 2012
Put a check mark next to your instructors name and section:
Belt
Davidovich
Bode
Belt
Davidovich
8:00
9:00
10:00
12:00
1:00
Points Score
possible
1
12
2
12
3
ID (7 digits):
Northwestern University
NetId:
Math 220, Final Exam
Fall Quarter 2009
Monday, December 7, 2009
(2 points)
Put a check mark next to your instructors name and
section:
Walker 8:00
Heller 10:00
Herzig 11:00
Bode
1:00
Question Possible Score
po
ID (7 digits):
Northwestern University
NetId:
Math 220, Final Exam
Fall Quarter 2010
Tuesday, December 7, 2010
(2 points)
Put a check mark next to your instructors name and
section:
Walker
Baskin
Baskin
Schenck
Schenck
8:00
9:00
11:00
12:00
2:00
Question
Amweél KEY
A ID (7 digits):
Northwestern Universny Ne a d.
Math 220, Final Exam
Fall Quarter 2009
Monday, December 7, 2009
(2 pOllltS) Put a check mark next to your instructors name and
section:
Walker 8 :00 Walker 9:00
Herzlg 11:00
Bode 1:00
Heller 12
Soluclx'm/Lg
_-'-_
a; ID (7 digits):
.u 53 Northwestern UHIVBI'SIty Ned.
Math 220, Final Exam
Fall Quarter 2010
Tuesday, December 7, 2010
(2 points) Put a check mark next to your instructors name and
section:
| Walker 8:00
Rechtman 10:00
Math 220 First Midterm
March 3, 2014
NetID:
Section (circle):
41 at 10 am
or
61 at noon
1. Do not open this exam until you are told to do so.
2. This exam has 10 pages including this cover and 8 problems. Make sure all pages are included.
3. You may not u
Northwestern University
The last 3 numbers of your
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ID Number:
Math 220 Final Exam
Fall Quarter 2008
Monday, December 8, 2008
Check your instructors name and section:
Venzke 8:00
Gelfert 9:00
Herzig 11:00
Bode
1:00
Venzke 9:00
Clark
10:00
Clark
12:0
Math 220 Final Exam
March 17, 2014
NetID: SO - Section (circle): 41 at 10 am or 61 at. noon
1.
2.
7.
Q1!
Do not open this exam until you are told to do so.
This exam has 15 pages including this cover and 14 problems. Make sure all pages are
included.
Yo
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Math 220 Exam 2
Fall Quarter 2013
November 19, 2013
Put a check mark next to your instructors name and section (2 points):
Parwani
Parwani
Yang
Davidovich
Prob.
8:00
9:00
9:00
10:00
Points Score
possible
Front
2
Northwestern University
NetID:
ID Number:
Math 220 Test # 2
Fall Quarter 2012
November 20, 2012
Put a check mark next to your instructors name and section:
Belt
Davidovich
Bode
Belt
Davidovich
8:00
9:00
10:00
12:00
1:00
Weinkove 9:00
Bode
11:00
Weinkove 1
Name:
Northwestern University
Id #:
Math 220 Test # 2
Fall Quarter 2011
November 17, 2011
Put a check mark next to your instructors name and section:
Goldstein 8:00
Eischen
9:00
Savitt
11:00
Marshall 12:00
Bode
2:00
Prob.
Points Score
possible
1
10
2
10
3
Sch/xii 0143
Name:
'_ Northwestern University Id 392:
Math 220 Final Exam
Fall Quarter 2011
December 7, 2011
Put a check mark next to our instructors name and section:
Y
11:00
Marshall
Savitt
12:00
Bode
Instructions:
0 Read each proble
Name:
, North western University Id #:
Math 220 Test # 2
Fall Quarter 2011
November 17, 2011
Put a check mark next to your instructors name and section:
Goldstein 8:00 - Tamarkin 9:00
Eischen 9:00 - Marshall 10:00
Savitt 11:00 - Savitt 12:00
Marsh
LECTURE 8
Example What is the derivative of (g(x)2 ? What about (g(x)3 ?
Solution: We can answer this using the product rule. We have d/dx(g(x)2 = d/dx(g(x)
g(x) = g 0 (x)g(x) + g(x)g 0 (x) = 2g(x)g 0 (x).
And d/dx(g(x)3 = d/dx(g(x)2 g(x) = [2g(x)g 0 (x)]
LECTURE 3
Limit laws. Limits are nice! They behave as we would expect in lots of ways. Limits
distribute over addition, subtraction, scalar multiplication, multiplication/division of
functions, exponentiation (with necessary conditions). Limit of constant
LECTURE 4
Continuity a continuous function is one whose graph I can draw without lifting up
my pencil. For a discontinuous function, this is not possible; a discontinuous function
has gaps, jumps, that sort of thing.
Why might this be important? Can you g
LECTURE 10
Last time we talked about implicit differentiation, which is basically an application
of the Chain Rule. Today, we talk about related rates, which also depend on the Chain
Rule. The pattern that related rates problems always follow is this:
Mul
LECTURE 1
Topics: Domain/range; even and odd functions; piecewise-defined functions, absolute value, parabolas, sine and cosine; shifting and stretching of functions; composition
of functions; basic modeling
Go through syllabus.
To do ASAP: Make sure you