MAT 127
Check one:
Lecture # 1
Lecture # 2
FINAL
MWF 9:35 -10:30
T Th 9:50 - 11:10
Gorsky
Michelsohn
Name (printed carefully)
Signature
ID Number
No calculators are allowed.
Do all of your work in thi
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Solutions to MAT127 Fall05 Midterm 2
1. The graph below shows a trajectory in the phase plane for a certain predator-prey model. R
denotes the number of rabbits and W denotes the number of
Midterm # 2
MAT 127
Last Name
I.D.#
,
First Name
Lecture#
Question
Points
1
20
2
10
3
20
4
30
5
20
Total:
100
Score
Stop!
Do Not Open This Exam Booklet
Until You Are Told to Do So!
Exam Rules:
No Calc
MAT 127 Midterml, Page 2 Oct 6, 2005
Name: M Id: _
1. Find the solution y(x) of the initial value problems
(a) (10 points)
$31533- : Sxelx @ I $3
(b) (10 points}
30's: SJ/(QIXCIX. 3’56”) 2 1
IIUTECJ
MAT 127 Final, Page 2
Name: ._._._._._._._ Id:
Dec 21, 2005
1. (10 points) Find the solution y(x) of the intial value problem
BEE
d3:
EQUA'WOIU (5 SHWBL?’ So
I939;— .-= fame/x
: ygsina:
I
“- :‘CDSX‘
Emma’s
Name:
ID#: _— ,
Test # 1
MAT 127 Spring 2005
Directions: There are 5 questions. You have until 10 PM (90 minutes). For credit, you must
show all your work, using the backs of the pages if neces
Nma:
[D#:
Final Exam
MT 12'?“ Spring 21115
Diractiuns: Than: are 3 questions. You have until 1:3(1I FM {150 minutes). For credit. guru
mstﬂhownllyaurwk, mingthebaﬂnnfthepagmifmry. Younlaymtuaeacnluula
MATH 127
Page 1 of 5
Solutions to First Midterm
1. A culture of bacteria grows at a rate proportional to the number of bacteria present
in the culture. At noon on January 24, there were 5 thousand bac
Math 127 Homework 2, problem 7.2#20
Name:
February, 2006
ID#:
Lec:
7.2, problem 20: The direction field for a differential equation is shown below. Draw, using
a ruler, the graphs of the Euler approxi
Page 1 of 5
MAT 127
Solutions to Second Midterm
1. 20 points Two populations, the Pacifists and the Warriors, live near one another. The
Pacifists are simple rutabaga farmers: if left to themselves, t
MAT 127-Sample Final-Fall 2016
NAME:
Each numbered question is worth 20 points. SHOW ALL WORK!
1. Determine if each converges or diverges. If convergent and geometric, nd the sum:
a)
1
X
30+( 1)n
p
n
Homework 2
PART A
Problem 1. Determine if the following alternating series converges or diverges. Some of the series do not satisfy the conditions of the alternating
series test.
P
( 1)n+1
1. 1
n=1 n3
Optional Assignment
Problem 1. A student forgot the product rule for differentiation and made
the mistake of thinking that (f g)0 = f 0 g 0 . However, he was lucky and got the
x2 and the domain
correc
Homework 3
Problem 1. This question is about the The Binomial Series.
1. Read Pag. 612-613 from the book.
2. Using the Binomial series, expand the functions
f (x) = 1 + x
1
f (x) = (1+x)
4
f (x) =
Homework 4
Problem 1. Find the general solution y = y(x) of the following differential
equations.
dy
1+ x
1.
=
dx
1+ y
dy
= xey
dx
3. (sin x)y 0 = x cot x
2.
dy
xex
4.
= p
dx y 1 + y 2
dy
1
+ 2y = 1 ,
Homework 1
Instructions : There are two parts, PART A and PART B. For PART A,
there are 10 problems, and all of them will be graded. Each problem is worth
10 points. Hence, you must do all of the prob
Name:
ID#:
Test # 2
MAT 127 Spring 2005
Directions: There are 5 questions. You have until 10 PM (90 minutes). For credit, you must
show all your work, using the backs of the pages if necessary. You ma
MAT 127: CALCULUS C, FALL 2014
Course Description
We begin by reviewing how to compute derivatives and antiderivatives. Then
we examine first and second order differential equations: what are they;
ho
MAT 127, CALCULUS C, SPRING 2015
Course Description
This is the final course of the three-semester calculus sequence MAT 125, 126, and 127. We shall
cover differential equations of first and second or
MAT 127: Calculus C, Fall 2009
Final Exam Information
Monday, 12/14, 8:15-10:45am
L01,L02: Old Chemistry Bldg 116
L03,L04: Earth&Space (ESS) Bldg 001
General Information
(0) The exam will begin at 8:1
MAT 127
May 14, 2012
Final exam.
8:15pm-11:00pm
Name:
ID:
Lecture:
DO NOT OPEN THIS EXAM YET
(1) Fill in your name and Stony Brook ID number.
(2) This exam is closed-book and closed-notes; no calculat
MAT 127, Midterm 1
September 27, 2012
Test the following series for convergence.
en
1. 1+e2n .
n=1
2.
3.
ln n
n=1 n .
1
n=2 n ln n .
2
4.
n=1
5.
en
n=1 n2 .
6.
n!(n+1)
n=1 (2n)! .
7.
4n2 +(1)n en
MAT 127, Midterm 1
September 27, 2012
Test the following series for convergence.
en
1. 1+e2n .
n=1
Solution: We have
0 < an =
The series bn =
n=1
converges. Therefore
2.
en
1
en
< 2n = n = b n .
2n
1+
MAT 127
Midterm 1.
February 22, 2012
8:30pm-10:00pm
Name:
ID:
DO NOT OPEN THIS EXAM YET
(1) Fill in your name and Stony Brook ID number.
(2) This exam is closed-book and closed-notes; no calculators,
MAT 127
April 4, 2013
Midterm 2.
8:45pm-10:15pm
Name:
ID:
Lecture:
DO NOT OPEN THIS EXAM YET
(1) Fill in your name and Stony Brook ID number.
(2) This exam is closed-book and closed-notes; no calculat
MAT 127: Calculus C
Mini-Quiz:
Taylor series, limits, and integration
DO NOT TURN THIS PAGE OVER YET
This mini-quiz is for practice only. It will not be graded or even collected.
On the next page, you
Stony Brook University.
MAT 127 Calculus C, Spring 12.
Review sheet for the rst midterm series
This sheet is a quick summary of important results for series. By no means it should be seen
as a replace
MAT 127, Spring 2013
Solutions to Midterm 2
Test the following series for convergence and justify your answer:
1. (10 points)
5n 1
.
3n + 2
n=1
Solution: We have
5n 1
5 1/n
5
= lim
=.
n 3n + 2
n 3 + 2
Solutions Practice Problem Set 2
MAT 127, Summer II 2017
Stony Brook Uuimsity
mmmwNth<m5-$.mzfigmw
WWWWW Bil-lit! [I E a
cfw_off1
as: nl
Solution. mmm.Nth#b-g.wzf;gmthmm
impliuthalmldim. El
rm i313:
Vi) On: 5 5). Convevga *0 O-
n!
Infmhon: For r173 n? roles (365k; +ha'n 5 In n! 93* We "be? you
I 8 I
Wm? by Lin-073) manwhne in '3 J03 For 3,
Pmo 6'. Observe mar
lanh [=3-
n lod imnt For 117/3
Hence