MATH 301
Name Differential Equations
Spring 2006
Exam #1
Instructions: You can work on the problems in any order. Please use just one side of each page and clearly number the problems. You do not need to write answers on the question sheet. This exam is a
MATH 301
Name Dierential Equations
Spring 2006
Exam #1
Instructions: You can work on the problems in any order. Please use just one side of each page and clearly number the problems. You do not need to write answers on the question sheet. This exam is a t
MATH 301
Name Differential Equations
Spring 2006
Exam #3
Instructions: Do your own work. You may consult your class notes and the course text. Do not consult other sources. Do not discuss generalities or specifics of the exam with anyone except me. Turn i
MATH 301
Name Differential Equations
Fall 2005
Exam #3
Instructions: Do your own work. You may consult class notes, the course text, or other books. Give a reference if you use some source other than class notes or the course text. Do not discuss generali
MATH 301
Name Differential Equations
Spring 2006
Final Exam
Instructions: You can work on the problems in any order. Please use just one side of each page and clearly number the problems. You do not need to write answers on the question sheet. This exam i
MATH 301
Name Differential Equations
Spring 2005
Exam #4
Instructions: Do your own work. You may consult class notes, the course text, or other books. Give a reference if you use some source other than class notes or the course text. You may not consult o
MATH 301
Dierential Equations
Spring 2011
Linear algebra and the geometry of quadratic equations
Similarity transformations and orthogonal matrices
First, we need to recall some things from linear algebra. Two square matrices A and B
are similar if there
MATH 301
Dierential Equations
Spring 2011
Some notes on writing in mathematics
1. In mathematical writing, use the standard convention of complete sentences in paragraph form. Include each mathematical expression as part of a sentence. This includes
both
MATH 301
Dierential Equations
Spring 2011
Exploring nonlinear systems
1. Start up the JODE applet for systems of equations. The fastest way to nd it is to type
jode applet into a search engine. The authors version is at math.arizona.edu. There
are also mi
MATH 301
Dierential Equations
Spring 2011
Practice with judicious guessing
In the problems below, you will work with the dierential equation
d2 y
dy
5 + 4y = f (t)
2
dt
dt
for various choices of the nonhomogeneous term f (t).
1. Solve the related homogen
MATH 301
Dierential Equations
Spring 2011
Some theory on linear homogeneous ODES
Well use the following notation:
C n (a, b) is the vector space of functions with continuous nth derivative on the
domain (a, b).
L = Dn +an1 Dn1 + +a1 D+a0 where each of t
MATH 301
Name
Dierential Equations
Spring 2009
Exam #3
Instructions: You can work on the problems in any order. Clearly number your work for each
problem. You do not need to write answers on the question sheet.
This exam is a tool to help me (and you) ass
MATH 301
Name
Dierential Equations
Spring 2009
Exam #4
Instructions: Do your own work. You can consult your class notes and the course text.
You can also use relevant computing technology. Do not consult other sources. Do not discuss
generalities or speci
MATH 301
Name
Dierential Equations
Spring 2009
Final Exam
Instructions: You can work on the problems in any order. Clearly number your work for each
problem. You do not need to write answers on the question sheet.
This exam is a tool to help me (and you)
Name
Dierential Equations
MATH 301
Spring 2009
Exam #1
Instructions: You can work on the problems in any order. Please use just one side of each
page and clearly number the problems. You do not need to write answers on the question sheet.
This exam is a t
MATH 301
Dierential Equations
Spring 2011
Relating the exponential function to sine and cosine
For this exercise, you will probably nd it easiest to work with the rst ve or six terms of
each power series rather than working with the full power series in s
MATH 301
Name
Dierential Equations
Spring 2009
Exam #2
Instructions: You can work on the problems in any order. Clearly number your work for each
problem. You do not need to write answers on the question sheet.
This exam is a tool to help me (and you) ass
MATH 301
Name Differential Equations
Spring 2005
Exam #1
Instructions: You can work on the problems in any order. Please use just one side of each page and clearly number the problems. You do not need to write answers on the question sheet. This exam is a