MCEN 2063
Due Thursday September 8th at 12:00 PM
Homework #2
Homework folder, ME Homework Room
Please adhere to the homework guidelines below (same as the syllabus) to receive full
credit:
Homework Grading Each homework problem will be awarded a check-plu
Math 307G, Winter 2013
Worksheet 1
Page 1 of 3
1. Before, we have investigated certain population models, including the logistic model,
P
dP
= rP 1
dt
K
.
Remember that K was the carrying capacity and that for any positive initial value, the correspondin
Math 307G, Winter 2013
Worksheet
[. Before, we have investigated certain population
Page
L
I
of 3
models, including the logistic model,
dP ^/. P\
dt:rl'(l-E)
Remernber that K was the carrying capacity and that for any positive initial value, the correspon
Math 307G. Winter 2013
Worksheet 2
Page
I of I
1. A mass weighing 32lb stretches a spring 8 ft. Suppose that the mass is displaced by an additional I ft
downward and then set in motion with an upward velocity of 1ft/s. The mass is in a medium that
exerts
Math 307G, Winter 2013
Worksheet 3
Page 1 of 3
1. Initially, a tank contains 1 l of pure water. Solution containing dye enters the tank at a rate of 3 l/min
and the well-stirred mixture leaves the tank at the same rate. The concentration of dye which ente
Math 307G. Winter 2013
Worksheet 3
Page
I
of 3
1. Initially,atankcontains @lof purewater. Solutionscontainingdyeentersthetankatarateof 3Vmin
and the well-stirred mixture leaves the tank at the same rate. The concentration of dye which enters
the tank is s
PROBLEM SET 1
CALCULUS REVIEW AND SECTIONS 2.2 AND 2.1
MATH 307G
For Friday, April 3rd Quiz
Read the Alternative Notes (on the Files page of the course website) Calculus
Review.
You are expected to be uent with
(1) Derivative rules (Theorem 1.1)
(2) Equ
PROBLEM SET 2
SECTIONS 2.3 AND 2.5
MATH 307G
Read 2.3 and 2.5 in the book or consult the alternate notes on the course website for
further explanation and examples as needed.
Problems for 2.3
1, 2, 4, 9, 16, 18, 20ab, 21ab, 28a
Problems for 2.5
2, 3, 5
PROBLEM SET 3
SECTIONS 2.6, 2.7, AND 2.4/2.8
MATH 307 G
Please read the above sections and consult the alternate notes in the course website
as needed. These are the minimum suggested problems covering problem types that are
important. If you are not 100%
PROBLEM SET 4
SECTIONS 3.1, 3.2, AND 3.3
MATH 307G
Read 3.1, 3.2, and 3.3 in the book or consult the alternate notes on the course website
for further explanation and examples as needed. The following problems are the minimum
recommended. They are broken
HOW TO SUCCEED AT HOMEWORK
MATH 307G
To do well in this course and use the Problem Sets wisely
Do the problem sets. Problem sets will be from the book and broken up by type of
question. Do enough of every type of question until that type of question is e
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Math 307G, Winter 2013
Quiz 5
Your Name
University of Washington
Student ID #
No aids are allowed for this quiz.
In order to receive credit, you must show all of your work; to obtain full credit, you must provide
mathematical justications. If you do not
Direction Fields, Equilibrium Solutions, and
Autonomous Equations
For an autonomous dierential equation,
y = f (y ),
we call all any constant solution an equilibrium solution. The name derives from the fact that if y = a is a
constant solution, then if we
Math 307G, Winter 2013
Final Exam
Your Name
University of Washington
Student ID #
This exam is closed books. No aids are allowed for this exam. You can use any information on the
note sheet without justication.
In order to receive credit, you must show
Math 307G, Winter 2013
Final Exam: Solutions
Page 1 of 6
1. (7 total points)
(a) (4 points) A tank is lled with 100 gal of solution which initially contains 50 g of sugar. Solution
enters the tank at a rate of 200 gal/h. Said solution contains et g/gal of
Math 307G, Winter 2013
Midterm
Your Name
University of Washington
Student ID #
This exam is closed books. No aids are allowed for this exam. You can use any information on the
note sheet without justication.
In order to receive credit, you must show all
Math 307G, Winter 2013
Midterm
Page 1 of 3
1. Consider a system of two tanks, tank A and tank B. Assume that tank A contains 1 gal of solution
whereas tank B contains 2 gal of solution. Initially, tank A contains 1 g of salt and tank B contains
5 g of sal
Math 307G, Winter 2013
Practice Midterm
Your Name
University of Washington
Student ID #
This exam is closed books. No aids are allowed for this exam. You can use any information on the
note sheet on the last page without justication.
In order to receive
Math 307G, Winter 2013
Practice Midterm: Solutions
Page 1 of 3
1. A mass of 1kg is thrown into the air vertically (i. e. either upward or downward). Suppose that the
initial velocity are not specied. The air resistance is measured to be |v|, where v is th
Math 307G, Winter 2013
Quiz 1
Your Name
University of Washington
Student ID #
No aids are allowed for this quiz.
In order to receive credit, you must show all of your work; to obtain full credit, you must provide
mathematical justications. If you do not
Math 307G, Winter 2013
Quiz 2
Your Name
University of Washington
Student ID #
No aids are allowed for this quiz.
In order to receive credit, you must show all of your work; to obtain full credit, you must provide
mathematical justications. If you do not
Math 307G, Winter 2013
Quiz 3
Your Name
University of Washington
Student ID #
No aids are allowed for this quiz.
In order to receive credit, you must show all of your work; to obtain full credit, you must provide
mathematical justications. If you do not
Math 307G, Winter 2013
Quiz 4
Your Name
University of Washington
Student ID #
No aids are allowed for this quiz.
In order to receive credit, you must show all of your work; to obtain full credit, you must provide
mathematical justications. If you do not
Name:
STMath307 Elementary Differential Equations F all
Exam #ZNov. 20, 2013 (DEL/1 cfw_)b l7
- Show all your work for full credit
Box or circle all nal answers
One 4 x6 notecard 1s allowed, along with a dedicated (nonsmartphone) calculator
1. F 1nd the