Homework #2 (5286301)
Due:
Sun Jan 26 2014 11:59 PM EST
Question
1
2
3
4
5
6
7
8
9 10 11 12 13 14 15
Instructions
For the Direction Field problems, you are encouraged to use Maple or some other
graphi
Math 2C03 Summer 2014:
Test 1 Comments:
Please read the posted solutions carefully.
Question 2:
To find the critical harvesting rate rK/4 as stated in the solutions, we want to find when
all solutions
MATHEMATICS 2C03 PRACTICE FINAL EXAM
DAY SECTIONS 01, 02
DURATION of FINAL EXAM: 3 HOURS
McMASTER UNIVERSITY
THIS EXAMINATION INCLUDES 20 PAGES AND 20 QUESTIONS. IT IS POSSIBLE TO OBTAIN A
TOTAL OF 10
MATHEMATICS 2C03
.
DURATION: 60 MINUTES
McMASTER UNIVERSITY TERM TEST 2 v1
Dr. G. S. K. Wolkowicz
March 19, 2015
THIS TEST PAPER INCLUDES 10 PAGES, 6 QUESTIONS. IT IS POSSIBLE TO OBTAIN A
TOTAL OF 50
Directional Fields
Set y equal to zero and look at how the derivative behaves along the xaxis.,
Do the same for the y-axis by setting x equal to 0.
Consider the curve in the plane defined by setting y
Math 2C03 Summer 2014:
Test 1 Comments:
Please read the posted solutions carefully.
Question 2:
To find the critical harvesting rate rK/4 as stated in the solutions, we want to find when all
solutions
Mathematics 2C03 Test 1
Name:
Student ID:
MULTIPLE CHOICE
There are 3 multiple choice questions. All questions in this section have the same value. A
correct answer scores 4 and an incorrect answer sc
Bessels equation with = 1/2 - the 2nd solution
Chai Molina
July 23, 2014
In class, we discussed Bessels equation,
x2 y + xy + (x2 2 )y = 0,
(1)
with = 1/2. We wanted to nd a fundamental set of solutio
MATHEMATICS 2C03
.
DURATION: 1 HOUR
McMASTER UNIVERSITY PRACTICE TERM TEST 2
THIS TEST PAPER INCLUDES 10 PAGES AND 6 QUESTIONS. IT IS POSSIBLE TO OBTAIN
A TOTAL OF 40 MARKS. YOU ARE RESPONSIBLE FOR EN
MATHEMATICS 203 TEST 2
Day Class Dr. M. Lovri
Duration of Examination: 50 minutes
McMaster University, 21 March 2016 (5
FIRST NAME (please print): w
FAMILY NAME (please print): _
Student N0.: _
THIS T
I.
Decay Chain Determination
Types of radioactive decay modes
Nuclei with unsuitable compositions are unstable and they undergo
spontaneous
disintegration
or
nuclear
decay.
Nuclides
that
undergo
spon
TYPES OF DECAYS MODE:
SAL: Everything we've been dealing with so far in our
0:03journey through chemistry has revolved around stability of
0:06electrons and where electrons would rather
0:08be in stab
Math 2003 * Assignment 27 * Power Series Review
o m .
1. Find the radius of convergence and a; interval of convergence for each power series.
00 _ n L45 Wm _ A
(a) Z( :2, (32+1) in 'WXiLBNL/L S2 (
Math 2003 * Assignment 32 * PDEs: Introduction
1. Verify that the following functions are. harmonic, i.e., that they satisfy Laplaces
equation fm + fyy = 0.
(a) f(:c,y) 2 e56 Sing
3, :tfmcegstw
\C
er
MATHEMATICS 2003 FINAL EXAMINATION_
Day Class Dr. M. Lovri
Duration of Examination: 2.5 hours
McMaster University
26 April 2016
FIRST NAME (PRINT CLEARLY): ML
FAMILY NAME (PRINT CLEARLY):
Student No.:
r 0% WW w was; k came
I SQMWCm is ' 7
Math 2003 * Assignment 31 * Understanding ODEs -
To answer all questions in this assignment, use symbols only if really necessary, and write
in full sentences.
1.
ewe m:
Math 2003 * Assignment 25 * Models with Nonlinear Systems
1. In each case of a predator-prey system
(a) Determine which variable, .r or 3. represents the predator pepulation, and which rep
rese
Math 2003 * Assignment 29 * Frobenius Method, Part 1
In all questions, check that 3:0: 0 is a regular singular point. In questions 14, nd two
linearly independent solutions (in general form).
1. 2m2y
Math 2003 * Assignment 30 * ODEs Using Software
_1. Google (or other) search, by slope eld applet? and use an applet to plot a slope eld
3m+y
f: f 2< <2.
03; 2my or 33,1!
Field of $33M Aggie: w cfw_Sl
Math 2003 * Assignment 28 * Series Solutions of ODEs-
Solve each ODE or IVP using a power series expansion.
1. y _ 2mg : 1, 21(0) 2 0; centred at 230 = 0.
E29 00 WA;
to 4:
i 00 *1 00 Mi
34);)th Z
Math 2003 * Assignment 33 * PDEs: Separation of Variables
1. Consider the boundary value problem involving heat transfer
utz2um, O<$<1, t>0
u(0,t) = O, u(1,t) : 0, t> 0
u(m,0) = sin41rcc, 0 < m < 1
Math 2003 * Assignment 19 * Concept Check
1. Find a, linear nonhornogeneous secondorder ODE whose general solution is given by
y = 01 sin2zc + 02003213 + 3:2 s 2.
IX .
3:129 Surly
. 9 15:. .\ 'Q'-
Oakland Schools Chemistry Resource Unit
NuclearChemistry
Scott Doty
Berkley High School
Berkley School District
1
Nuclear Chemistry
Content Statements:
C2.5x Nuclear Stability:
Nuclear stability is re
MATHEMATICS 2C03
.
DURATION: 1 HOUR
McMASTER UNIVERSITY TERM TEST 1
Dr. G. S. K. Wolkowicz
February 12, 2015
THIS TEST PAPER INCLUDES 8 PAGES and 6 QUESTIONS. IT IS POSSIBLE TO OBTAIN A
TOTAL OF 50 MA
MATHEMATICS 2C03
.
DURATION: 1 HOUR
McMASTER UNIVERSITY TERM TEST 1
Dr. G. S. K. Wolkowicz
February 12, 2015
THIS TEST PAPER INCLUDES 8 PAGES and 6 QUESTIONS. IT IS POSSIBLE TO OBTAIN A
TOTAL OF 50 MA
— a a
(mam cm
.- ‘11:; kﬁémgz 213; 3-5 we wsll Hiya»;
. 5 3:123 r 56 UM 535m 5‘ o?
m—r arm 'DE‘s, é . I
A His 0‘ “14mm:
o¥
ﬁrm A . Mkﬁ_
$5.35 :1\
“3‘ = $3 is We.
Em “Lij
° 3‘3“ 5?“ “5‘ 11¢ seemble.