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Differential
Equations (92.236)
Homework Assignments
As
indicated above, the homework for this course is an essential component
of the course. In fact, most of the actual learning of the subject
matter for this course will occur during your homework sessions.
Traditionally, students who do the homework assignments regularly,
usually do well in the course and meet the course objectives. Your
textbook has many endofsection practice problems and exercises
to help with your understanding of the material under study. The
answers to selected problems are given in the back of your book.
You should use these resources, as needed, to help you get the
most out of this introduction to Differential Equations.
The
actual homework problems to be evaluated for grading purposes are
given below. The problems given here were taken from a variety of
sources, including your textbook by Edwards and Penny. As discussed
in class, the homeworks are due roughly every other class period
throughout the semester. One or two problems from each HW set will
be graded, and the cummulative grade for your HW will be equivalent
to an exam grade. This is significant since it can be a great way
to help improve your final grade in this course  in addition to
assuring that you really understand the material from this course.
The
specific Homework Assignments and Projects for the current semester
are listed below (with links to the associated pdf file):
Chapter
I: First Order Differential Equations 
Section 
Topic 
Assignment
# 
1.1 
Differential
Equations and Mathematical Models 

1.2 
Integrals
as General and Particular Solutions 

1.4 
Separable
Equations and Applications 

1.5 
Linear
FirstOrder Equations and Applications 

1.3 
Slope
Fields and Solution Curves 

1.6 
Separable,
Linear, and Exact Equations and Substitution Methods 

Project
#1: Energy Balance Calculations for HeatUp of the UMLRR Pool 
proj1,
tave_022707.m

Chapter
II: Mathematical Models and Numerical Methods 
Section 
Topic 
Assignment
# 
2.4 
Numerical
Approximations: Euler's Method 

2.5
& 2.6 
Numerical
Approximations: Improved Euler and RungeKutta Methods 

2.1
 2.3 
Mathematical
Models and Autonomous Systems 

Chapter
III: Linear Equations of Higher Order 
Section 
Topic 
Assignment
# 
3.1 
Introduction:
HigherOrder Linear Equations 

3.2
& 3.3 
Linear
Constant Coefficient Homogeneous Systems 

3.5 
Linear
Constant Coefficient Nonhomogeneous Systems 

3.4,
3.63.7 
Applications
Involving 2nd Order Linear Systems 

Chapter
IV: Introduction to Systems of Differential Equations 
Section 
Topic 
Assignment
# 
4.1
& 4.3 
Numerical
and Symbolic Solution of Higher Order Systems 

Chapter
VII: Laplace Transform Methods 
Section 
Topic 
Assignment
# 
7.1
& 7.2 
Introduction
to Laplace Transforms 

7.3
& 7.4 
More
Laplace Transforms 

Good
Luck  and, of course, don't hesitate to contact me or come to
see me during office hours if you have any questions...
Last
updated by Prof. John R. White (May 2007)
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