Math 4425, Fourier Series and Partial Differential Equations, Fall
Classroom: 240 McBryde
Time: 12:30-1:45 PM, Tuesday and Thursday
Office Hours: 9:00 -11:00 AM, M,Tu,W,F, 430
The course revolves around the derivation of the most important linear
partial differential equations, the solution of these equations using
separation of variables and Fourier series, and the analysis of those
solutions. In order to do this, we will have address many issues in real
analysis and linear algebra.
This course will be a rigorous test of your knowledge of both ordinary
differential equations (Math 2214), multivariable calculus (2204), and
sequences and series of real numbers (Math 1226). Successful completion of
these courses is required. Advanced Calculus (Math 3224) is an
official prerequisite. While I will not enforce this requirement, it is
highly recommended. I will teach the course in such a way that very
strong students should be able to take 3224 at the same time as 4425. That
is, I will "review" all necessary concepts from 3224 before
using them in 4425.
We will use a draft of a text I am writing for the course. This is available in the Resources section.
There will be updates of the text throughout the semester, so you may wish to read the text on the computer
or print out only the material we are covering at the moment.;
Students are required to use Mathematica for computation and
visualization. Mathematica is available free to all Virginia Tech
students through the Virginia Tech Computing Center. You may
download it here.
For those who do not wish to install Mathematica on their computers, it
is available on all computers in the Math Emporium where it can be used
Tutorials on Mathematica are available here.
There will be two midterm exams and a final
must take the final examination. This is a policy directive of the Dean
of the College of Science and no exceptions can be made. The final exam
will cover all material discussed in class.
- When assigning homework, I will designate a few problems tobe
collected and graded. These will usually be longer problems with
multiple parts. I will go over the uncollected in class. Quizzes will
often be based on these problems. (In many cases, verbatim copies.
- Homework counts for 30% of your grade.
- Homework problems will be announced in class at least two classes
before the homework
- Late homework may result in a 50% reduction in the points earned.
Homework will not be accepted after the assignment has been returned to the
rest of the class.
- I encourage students to work together on homework assignments, but
you must acknowledge any collaboration, and I expect everyone to write up the
final draft of their homework on their own.
- Quizzes will be given in almost every class.
- They will be based on the uncollected homework and the examples
covered in class.
- They will be short and will be given at the end of class. I
reserve the right to refuse to grade the quiz of anyone who comes to
The final grade will be computed as follows.
Exam 1 15%
Exam 2 15%
Final Exam 20%
An average grade of 93% or better will guarantee at least an A, 90-92%
an A-, 87-89% a B+, 83-86% a B, 80-82% a B-, 77-79% a C+, 73-76% a C,
70-72% a C-, 60% at least a D. I will try to keep you informed about any
for the course, but this might change as the semester progresses. If you
have questions about your grade, please come to see me.
- The Undergraduate Honor Code pledge that each member of the university
community agrees to abide by states:
Students enrolled in this course are responsible for abiding by the Honor Code.
A student who has doubts about how the Honor Code applies to any assignment is
responsible for obtaining specific guidance from the course instructor before
submitting the assignment for evaluation. Ignorance of the rules does not
exclude any member of the University community from the requirements and
expectations of the Honor Code.
- As a Hokie, I will conduct myself with honor and integrity
at all times. I will not lie, cheat, or steal, nor will I accept the
actions of those who do.
- For additional information about the Honor Code, please visit: https://www.honorsystem.vt.edu/
- Classroom behavior affects the individual student and his/her
From Section V.e.-Class Attendance and Classroom Conduct of the
Policy: The professor has the authority to determine acceptable
conduct for his or her students as long as those decisions do not
on the students' rights. Disruptive classroom conduct may be
conduct; i.e., behavior that disrupts or interferes with the orderly
of the university, disturbs the peace, or interferes with the
of the duties of university personnel.
Any student with special needs or disabilities should schedule a time
see me as soon as possible.