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 =
"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
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
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 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