Homework 2
AMATH 383
Due Thursday 7/3/2008 by 5pm
(80 Points Possible)
Problem 1. (10 pts. total)
2
y 0 y = x2 cos x,
x
y() = 1
(1)
(a) (5 pts.) Solve the initial value problem in (1) by hand. (Note t
Homework 3 Solution
Problem 1
Right-handed snails
D Arcy Wentworth Thompson, a noted scientist of natural history, asked in his book On Growth and Form
(1917): But why, in the general run of shells, a
AMATH 383: Assignment #2 Solution
Due on Thursday, January 29, 2015
Yuan Gao 1:00pm
1
Problem 1
Right-handed snails
D Arcy Wentworth Thompson, a noted scientist of natural history, asked in his book O
Homework 8 Solutions
AMATH 383
due 8/15/2008 by 5pm
(55 Points Possible)
This homework is meant to be short. There are only 3 problems. At this point, you should
use more of your time to work on your
AMATH 383 Autumn 2016
Homework 2
Due: Thursday, Oct 13, 2016, 2:00PM in class
0. Nonlinear models
x 0 and y 0 represent populations of two different species. For the following problem,
find the equili
AMATH 383 Spring 2016
Homework 2 Due Thurs Apr 14th in class
Show work for full credit! The grader will subtract points for poor presentation.
Any problem that has a Matlab component can alternatively
AMATH 383 Spring 2017
Problem Set 2
Due: Thursday 4/13 at noon
Note: Submit electronically to Canvas. Please show all work and represent your answers in simplest possible form.
1. This problem set wil
Homework 1 Solution
Problem 1
(a)(4pts)
2
Calculate the derivative of e1/x at x = 0.
2
2
2
Solution: The derivative of e1/x is 2e1/x /x3 . The limit of 2e1/x /x3 as x 0 is 0.
(b)(4pts)
Calculate the T
AMATH 383 Autumn 2016
Homework 3
Due: Thursday, Oct 20, 2016, 2:00PM in class
1. Harvest Model-Allee effect
In class we discussed the logistic model with constant effort harvesting, modeled by
dN
N
=
Homework 6 Solutions
AMATH 383
due 8/1/2008 by 5pm
(70 Points Possible)
Problem 1. (6 pts. total) (There is one equilibrium point for this system)
dx
= ex 1
dt
dy
= 21 yex
dt
(1)
(a) (1 pt.) Solution:
AMath 383, Autumn 2012
Assignment 2.
Due Thursday, Apr. 12.
Reading: Chs. 2-3.
1. Exercise 4 of Chapter 2. Please note that there is a typo in the formula in part c: An
exponent of 1 is missing. It sh
AMATH 383: Assignment #3 Solution
Due on Thursday, February 5, 2015
Yuan Gao 1:00pm
1
AMATH 383 (Yuan Gao 1:00pm): Assignment #3 Solution
PROBLEM 1
Problem 1
Two-sex models (5pts)
Remember in the last
Introduction to Continuous Mathematical Modeling
AMATH 383
Winter, 2016
AMATH 383 Homework Assignment #3
(Due in class: Jan. 28)
1. Exercise 6.6 of the textbook. You might also nd the amazing beautifu
Dark Matter Astrophysics
arXiv:0907.1912v1 [astro-ph.CO] 10 Jul 2009
Guido DAmico, Marc Kamionkowski and Kris Sigurdson
Abstract These lectures are intended to provide a brief pedagogical review of da
AMATH 383 Spring 2016
Homework 3 Due Thurs Apr 21st in class
Show work for full credit! The grader will subtract points for poor presentation.
Any problem that has a Matlab component can alternatively
AMATH 383 Spring 2016
Homework 1 Due Thurs Apr 7th in class
Show work for full credit! The grader will subtract points for poor presentation.
1. Getting a feel for Fermi problems: Come up with an esti
AMATH 383 Spring 2016
Homework 0 Not graded; complete by end of first week
We will be using differential equations frequently throughout the course, so it is extremely important that you know
how to s
AMATH 383 Spring 2016
Homework 4 Due Thurs Apr 28th in class
Show work for full credit! The grader will subtract points for poor presentation.
Any problem that has a Matlab component can alternatively
AMATH 383 Lecture Notes
Analysis of Nonlinear 2D Autonomous
Dynamical Systems
Oct. 31st, 2013
(Covering chapter 9 from the book)
So far, we have only been looking at models where one variable changes
AMATH 383 Lecture Notes
Review
Sept. 26th, 2013
Ordinary Dierential Equations (ODEs) such as AMATH 351, is a prerequisite for AMATH 383. A standard textbook reference is Boyce & DiPrimas Elementary Di
Homework 2
Financial Planning
Charles has a set of financial goals that he wants to achieve in his life, like buying a car next year, or
maintaining the standard of living after retirement, etc. In th
Homework 5
The physical dynamics of a pendulum can be described as the following ODE
= asin b
where is the angle of the pendulum (the angle between its natural rest position and current position),
i
c8facafc2c155c362fd2f1479a69068276f9cfd3
Date
Open
High
Low
Close
Volume Adj Close
2015-06-17 68.059998 70.519997 68.059998 69.470001 883900 69.470001
2015-06-16
67.32 67.580002 65.849998 66.779999 44
Homework 1
Problem 1
(a)(4pts)
2
Calculate the derivative of e1/x at x = 0.
(b)(4pts)
Calculate the Taylor series of ln(x) at x = 2.
(c)(4pts)
Calculate the partial derivative of f (x, y) = ln(xy) + x
AMATH 383 Lecture Notes
Building a Mathematical Model
Oct. 1, 2013
Model building involves imagination and experience. There is no particular set of rules
to follow. However, there is an outline that
Homework 7 Solutions
AMATH 383
due 8/8/2008 by 5pm
(60 Points Possible)
This homework is meant to be short. There are only 3 problems. Problems 1 and 2 have
several parts, but this is just to be sure
Homework 3 Solutions
k
1
Problem 1. (5 pts. total) For the reaction A
B
(a) (1 pt.) Determine the order of the reaction.
Solution:
As we did in class, take the ratio of trial 1 to trial 2:
n
Trial 1
Homework 4 Solutions
AMATH 383
due 7/18/2008 by 5pm
(65 Points Possible)
Problem 1. (5 pts.) Problem 5.7.3 from the text:
If you want to put a satellite in a geosynchronous orbit (so that the satellit
Homework 5 Solutions
AMATH 383
due 7/25/2008 by 5pm
(65 Points Possible)
Problem 1. (15 pts. total) Disease Spread Models, Part 1:
Which of the following are reasonable models for the spread of a dise