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I.
PREREQUISITES
Successful completion of Mathematics 263D, Analytic Geometry and Calculus,
or the equivalent..
II.
COURSE DESCRIPTION
This course in differential equations is designed for engineering, science
and mathematics majors. Considerable emphasis is given to your ability
to recognize various types of differential equations and to your ability
to develop the skills required to successfully solve these equations.
Additional consideration is given to problems of a physical nature. It
is important for science and engineering sutdents to be able to model
physical phenomena with differential equations and to be able to deduce
facts about the physical world from the solution of these equations.
The most effective
way to prepare for the examination is to solve many, many problems, correctly.
Don't fall victim to the attitude best expressed by, "Oh, if I had
only done this or that, I would have gotten the correct answer."
If you don't get the correct answer to a problem, it is wrong. Put the
problem on a "miss list" and come back to it at a later date.
You should not attempt the examination until you can work representative
problems from each section of the syllabus. In addition, your "miss
list" should have few if any problems remaining on it.
III.
TEXTBOOK AND SUPPLIES
Zill, Dennis G., A First Course in Differential Equations with Applications,
4th ed., Boston: PWS-Kent, 1989.
...available from
EdMap's distance-learning online
bookstore.
| STUDENTS
ARE STRONGLY ADVISED NOT TO BUY TEXTBOOKS UNTIL REGISTERED
IN COURSES AS REQUIRED EDITIONS CAN CHANGE WITHOUT NOTICE. |
IV.
COURSE CONTENT
The Mathematics 340 course includes the material from each of the following
chapters or sections in the Zill book:
|
Chapter
1 |
All
sections |
|
Chapter
2 |
Sections
1 through 5. Sections 2.1, 2.2 and 2.5 are the most important. |
|
Chapter
3 |
Sections
1 and 2 |
|
Chapter
4 |
All
sections. This is the most important part of the book. |
|
Chapter
5 |
Sections
1, 2 and 3 (lightly) |
|
Chapter
6 |
Section
6.2 |
|
Chapter
7 |
All
sections |
|
Chapter
8 |
Section
2 |
V.
NATURE OF THE EXAMINATION
The course examination is a three-hour examination and consists of 12
problems. These problems will cover the material from the Chapters and
Sections listed above under Course Content. You are expected to know how
to differentiate and antidifferentiate the polynomial, sine, cosine, tangent,
lagarithmic and exponential functions. You are expected to know how to
do integration by substitution, integration by parts and integration by
use of partial fractions. You must know the Laplace transform of powers,
exponentials, sines and cosines. No calculators are permitted during the
examination.
VI.
SAMPLE EXAMINATION
A sample examination consisting of 12 problems is included with the course
credit by examination booklet. An answer key is also provided together
with the worked out solutions. This sample examination is provided to
help you to determine whether you are prepared to take the course examination.
In order to use the sample examination effectively, you should study the
course material thoroughly. Ignore the sample test until that task is
completed. When you believe that you have mastered the course material,
take the sample examination, allowing yourself three hours to complete
it. Don't consult the answer key until you have completed the test.
Be honest with yourself
when you grade the sample examination. Don't expect much part credit for
answers which are not correct. If you missed five or more problems, you
are not prepared to take the examination. Review thoroughly the sections
of the book which cover the problems you missed before you apply to take
the examination. Sample Examination
VII.
GRADING
Your course grade
will be determined on the following basis:
85-100% = A
70-84% = B
60-69% = C
50-59% = D
00-49% = F
A plus or minus may
be added to your letter grade. |