Math 334 Winter 2005
Ordinary Differential Equations
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latest news and course materials.
Textbook:
Elementary Differential Equations, W. E. Boyce and R. C. DiPrima, John Wiley,
NY, 8th ed..
Pre-requisite:
Pre-requisite: Math 113,
Math 302/3 or Math 343. Computer literacy is
helpful. Please note that proficiency in basic calculus skill such
as integration by parts and by partial fraction and basic linear algebra skill
such as evaluation of determinants is an important factor in the successful
completion of the course.
Course Objective:
To
familiarize the students with the basic concepts and techniques relating to
construction and solutions of ordinary differential equations so as to enable
them to apply the materials learned in higher level mathematics courses and in
other subject areas. In this course students are expected to develop the
ability to follow basic but rigorous proofs in addition to developing skill in
the solution techniques and abstract methods.
Syllabus:
From Catalog: Methods and theory of ordinary differential equations. Covering
chapters 1-7 and selected sections in chapter 9 of textbook. Some
related topics and mathematical software tools will also be discussed.
Please note that I am assuming that students are already familiar with most the
background materials in the textbooks (in particular calculus topics such as
integration and power series and linear algebra topics such as matrix
properties, linear independence and eigenvalues) and consequently will be limiting my
discussion on those topics in class.Course
Syllabus is available on Blackboard.
Homework:
Assignments will generally be collected every
class days. Homework handed in more
than two business days late will not be accepted.
Solutions should be clearly labeled and in order. The style of your
written solutions should be very much like that of a text book example;
solutions should contain enough explanation so that one of your classmates would
be able to easily understand what you have done. Generally, it is inadequate to
merely write down a final answer. You are strongly encouraged to study together
and work together on homework assignments. However, you each must submit your
own assignment. Everything you turn in should be in your own words and you
should thoroughly understand everything you write down.
(see Honor
Code.) The homework grader will only grade
selected exercises. Therefore it is
important for you to solve each one.
Reminder: assigned homework is representative of the minimal set of
problems that you should attempt. In general you should also work on as
many unassigned problems as possible.
Collaborative discussion is encouraged when completing homework and
project assignments. However, plagiarism is not acceptable
Preparation
Time: Adequately prepared students should expect to
spend a minimum of three hours of work for each credit hour.
This adds up to a minimum of 9 hours per week for Math 334.
A minimal time commitment is likely to lead to an average grade B-/C+ or
lower. Much more time may be
required to achieve excellence. You
may also seek help in the math lab located in TMCB.
Quizzes and Projects:
Quizzes or projects will be given occassionally,
Quizzes are based on uncollected homework problems and projects are based on
textbook problems that require extensive computation.
Projects assigned are usually due in two class days.
Tests:
Three tests are currently scheduled. The tests will be given at the testing
center. There is a 3-hour limit for the tests but students are advised
not to spend more than TWO hours on each test. Books, notes, personal
calculators, and PDAs are not allowed. Made up tests may not be arranged except in case of emergency
or absence due to official university business. If you want to attend
special events, e.g., your sister's wedding or your nephew's baptism, you may
arrange to take the test up to a week prior
to but not after the set test date.
Final:
The final will be comprehensive. Unless
otherwise indicated, no calculators, books, or notes will be permitted during the final exam.
The final exam will be given on
(section 5) Wed, April 20, 2005
,
7 AM to 10 AM
and (section 6) .
Course Grade:
Course grade will be calculated from the following distribution
|
20%
|
Assignments (collected in class) and
Quizzes/projects
|
|
45%
|
3
Midterm Exams
|
|
35%
|
Final Exam
|
Please keep track of your homework, quizzes, and examination scores on
BLACKBOARD so that you will be able to determine your grade during the course. Grades
will not be posted at the end
of the semester.

Resources
Supplements
listed in Wiley Higher Education
Website, including
 |
Student Solutions Manual, C.W. Haines. |
 | Interactive Learning Edition of Elementary Differential Equations, W. E.
Boyce and R. C. DiPrima, John Wiley, NY, 7th ed., 2001. (May still be useful for
the 8th ed.) |
Related links
Math Archives: Ordinary
Differential Equations, Dynamical
Systems
Encyclopedia Britannica: Ordinary
Differential Equations
The Mathematical Atlas: Ordinary
Differential Equations

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