J. Math. Biol. (2011) 62:349358
DOI 10.1007/s00285-010-0337-9
Mathematical Biology
A note on a paper by Erik Volz: SIR dynamics
in random networks
Joel C. Miller
Received: 28 September 2009 / Revised: 3 February 2010 / Published online: 23 March 2010
Spr
Math 377 (Fall 2015)
Homework Assignment #4
Due Fri. Nov. 6, 2015 in class
Problems on Chapters 4 and 5:
1. (a) Problem (3a) in the book (on p.81), but use t = 4 s and E = 6.3 1013 Joules as
your guess for the energy. This is the energy of the bomb droppe
MATH 377 (Fall 2015)
Homework Assignment #1
Due Wed. Sept. 23, 2015 in class
General note on assigments:
You may (if you wish) work with a partner or partners on homework assignments. You will find that this
is most helpful if you actively participate in
MATH 377 Practice Midterm
R. Edwards
Your name:
Your student no.:
You may use books, notes, calculators.
Please be sure to show sufficient work to justify your answers.
Total marks on the test: 25
Marks
1. In our Voronoi-based model of crystal growth assu
c 2015 International Press
COMMUN. MATH. SCI.
Vol. 13, No. 2, pp. 497509
MARKETING NEW PRODUCTS: BASS MODELS ON
RANDOM GRAPHS
MEILI LI , REINHARD ILLNER , ROD EDWARDS , AND JUNLING MA
Abstract. We consider the problem of marketing a new product in a popul
Math 377 (Fall 2015)
Homework Assignment #3
Due Fri. Oct. 16, 2015 in class
Problems on Chapter 3:
#1 (a) Suppose you want to buy a house in Victoria that costs $350 000 (the median house price
in Victoria is now about $450 000, so your choice is a fairly
MATH 377 [A01]
Practice questions for final
Warm up questions
1. Find
lim 1
N
3
N (N + 1)
N (N 1)
.
2. Consider the linear system of ODEs
d
x
3
7
x
=
.
2 5
y
dt y
(a) Classify the origin as a stable or unstable node, a stable or unstable spiral, a
s
Math 377 (Fall 2015)
Homework Assignment #6
Due: Fri. Dec. 4, 2015, in class
Problems on the papers by Miller, and Li et al.:
1. Find the expected degree of a vertex in a network with the following degree distributions:
(
0, if k = 0,
where c is the appro
MATH 377 (Fall 2015)
Homework Assignment #2
Due Wed. Oct. 7, 2015 in class
Problems on Chapter 7 (see pp. 3738 in text):
1. Question #1 in the book.
2. Using the revised model of Section 2.6 in the book, let tmax be the time at which the
water front reach
Math 377 (Fall 2015)
Homework Assignment #5
Due: Fri. Nov. 20, 2015, in class
Problems on Chapter 6:
1. (a) Solve the logistic equation with a constant fleet size of U ,
x
x = Rx 1
K
and initial condition x(0) =
.
nience, let V = 1 qU
R
K
N
qU
x
qU x =
Meramec
Intermediate Algebra
Quiz 3 Solutions
Spring 2008
NAME: _Score_/10
Please print your name
SHOW ALL YOUR WORK IN A NEAT AND ORGANIZED FASHION
1. (1 pt.) Two equations are equivalent if they have the same solution sets.
2. (1 pt.) An equation is a m
Meramec
Intermediate Algebra
Quiz 3
Spring 2009
NAME: _Score_/10
Please print your name
SHOW ALL YOUR WORK IN A NEAT AND ORGANIZED FASHION
1. (1 pt.) If two expressions represent the same quantity, those two expressions are _.
2. (1 pt.) A _equation in _
Meramec
Intermediate Algebra
Quiz 4
Summer 2009
NAME: _Score_/10
Please print your name
SHOW ALL YOUR WORK IN A NEAT AND ORGANIZED FASHION
1. (1 pt.) If both sides of an inequality are multiplied by the same negative real number and the
inequality symbol
Meramec
Intermediate Algebra
Quiz 6 Solution
Spring 2009
NAME: _Score_/10
Please print your name
SHOW ALL YOUR WORK IN A NEAT AND ORGANIZED FASHION
1. If a point is on the x-axis then its second coordinate is 0.
2. If a point is on the y-axis then its fir
Meramec
Intermediate Algebra
Quiz 9
Spring 2009
NAME: _Score_/10
Please print your name
1. State the Law of Trichotomy
If a and b are real numbers then exactly one of the following is true:
i. a < b
ii. a = b
iii. a > b
2. State the Distributive Law
If a,
Meramec
Intermediate Algebra
Quiz 1 Solution
Summer 2009
NAME: _Score_/10
Please print your name
SHOW ALL YOUR WORK IN A NEAT AND ORGANIZED FASHION
1. (1 pt.) The set of Irrational Numbers consists of all numbers which cannot be written as
fractions of in
"x
it
1,.~«._
Z,
t
l:
l
it:
53s
3 r.
g.
V
k
:i
<
M [is/TH 774
7
PROBLEM SET 1 2
;W
.1 (a) Consider a fixed point P and a time interval [0, tr], Figure 1.1 illusl
trates the logic behind the solution for this problem: the idea of a cone
representing the z
Midterm 1
MATH 211 (A01), Spring 2015 (Siefken)
Date:
Name:
ID Number:
This is a 50 minute test. It has 6 pages including this cover page.
Q1
Q2
Q3
Q4
Q5
Total
/10
/10
/10
/10
/10
/50
1
1 (10pts) Complete each of the following sentences with a mathematica
Due Friday, January 30
Math 211 (A01)
Typed Homework 1
1
4
7
1. Let = 2, = 5, and w = 8. Explain whether the set A = cfw_ , , w is a basis for R3 .
u
v
u v
3
6
9
Make sure to include all relevant denitions.
Recall a basis for a subspace V R3 is a l
Due Friday, January 23
Math 211 (A01)
Written Homework 2
3
4
14
1. Let = 4, = 4, and w = 0 .
u
v
1
4
d
(a) For what value(s) of d is spancfw_ , , w a plane?
u v
spancfw_ , , w is a plane precisely when cfw_ , , w consists of exactly two linearly
u
Due Friday, January 16
Math 211 (A01)
Written Homework 1
Let =
u
[ ]
[ ]
1
1
and =
v
.
1
0
1. Graph the vectors , , and 2 + .
u v
u v
2 +
u v
u
v
.
2. (a) Draw the set A = cfw_ R2 : = t for some t R.
x
x
u
A
.
(b) Draw the set B = cfw_ R2 : = t (2t + 1)