Class Hours: MWF 9:00-9:50 Prerequisite: MATH 231 (Calculus and Analytic Geometry), or equivalent
Differential Equations, 8th Edition
Authors: W. E. Boyce & R. C. DiPrima, Publisher: WILEY, ISBN: 0-471-43339-X
About the course:
Formulation of fundamental natural laws and technological problems in the form
of rigorous mathematical models is given prevalently in terms ofdifferential equations
(equations that involve
functions of a single variable as well as derivatives of these functions).
equations is a most important discipline in mathematical education. Several
questions naturally arise.
o Just what is a differential equation and what does it signify?
o Where and how do differential equations originate and of what use are they?
o Confronted with a differential equation, what does one do with it, how does
one do it, and
what are the results of such activity?
These questions indicate three major aspects of the subject: theory, method , and
purpose of this course is to introduce audience to the basic aspects of the
subject and at the same
time give a brief survey of the three aspects just mentioned. In this course, we
shall find answers to
the general questions raised above, answers which will become more and more
meaningful as we
proceed with the study of differential equations. This course provides audience
with an easy to
fol low and comprehensive introduction to differential equations and is intended
to serve three
i) to provide an accessible introduction to the world of differential equations
for students who do
not intend to specialize in this area;
ii) to provide a prerequisite course for the more specialized third and fourth
year courses in
ordinary differential equations, partial differential equations, and dynamical
iii) to provide an introduction to the discipline of Applied Mathematics,
namely, the formulation
and analysis of mathematical models of real-world phenomena. Since many models
are based on
differential equations, an introductory course in DEs provides a natural vehicle
for this purpose.
What you need to know:
Success in the course depends on having a good knowledge of single variable
calculus – derivatives,
antiderivatives, qualitative curve -sketching and improper integrals, in
particular. In the final chapter,
some knowledge of linear algebra is also required – matrices, eigenvalues and
eigenvectors – but only for the two -dimensional case.
You’ll find that the exponential function plays a major role in the subject of
and so it is important that you have a good grasp of exponentials and
surprisingly, complex numbers are used in the course, even though all the
unknown functions are
real-valued. The reason for the appearance of complex numbers is that the roots
are in general complex. So in the course you’ll find yourself using the famous
eiθ = cosθ + i sinθ .
Some concepts from physics arise in the applications, the most important being
Law of Motion. However, in order to keep the course accessible, the background
needed for the
applications, most of which arise in everyday life, will be given in the course.
Learning the course material:
Although the lectures give a discussion of the theoretical matters, the use of
the computer algebra
system Maple will also be used. The reason for this is that science and
engineering problems in the
real world are usually of sufficient complexity that we must solve them using
Class procedures: You are expected to
o attend the lectures and take your own lecture notes,
o read the textbook and lecture notes critically,
o work out the suggested problems from the section discussed in class.
Assignments, Tests and Exam Policy: o No make-ups will be allowed for as signments and tests ,
o Make-up Final Exam will be given only in case of properly documented
o Late assignments will not be accepted,
o The assignments must be stapled (not folded) in the upper left corner,
o Write your name, the assignment number clearly on the top of the first page,
o You must show all your work, so it is easy to follow how you arrived at the
o Tests: (25% each) 50%
o Assignments: 10%
o Final Exam: 40%
Start solving your Algebra Problems
in next 5 minutes!
Download (and optional CD)
Click to Buy Now:
2Checkout.com is an authorized reseller
of goods provided by Sofmath
Attention: We are
currently running a special promotional offer
for Algebra-Answer.com visitors -- if you order
Algebra Helper by midnight of
you will pay only $39.99
instead of our regular price of $74.99 -- this is $35 in
savings ! In order to take advantage of this
offer, you need to order by clicking on one of
the buttons on the left, not through our regular
If you order now you will also receive 30 minute live session from tutor.com for a 1$!
You Will Learn Algebra Better - Guaranteed!
Just take a look how incredibly simple Algebra Helper is:
: Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:
Step 2 :
Let Algebra Helper solve it:
Step 3 : Ask for an explanation for the steps you don't understand:
Algebra Helper can solve problems in all the following areas:
simplification of algebraic expressions (operations
with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots
(radicals), absolute values)