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 without charge.

Tutorials on Mathematica are available here.

There will be two midterm exams and a final exam. All students 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 is due.
- 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 class late.

The final grade will be computed as follows.

Homework 30% Quizzes 20% 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 "curve" 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:
- 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 fellow students. From Section V.e.-Class Attendance and Classroom Conduct of the Student Life Policy: The professor has the authority to determine acceptable classroom conduct for his or her students as long as those decisions do not infringe on the students' rights. Disruptive classroom conduct may be considered disorderly conduct; i.e., behavior that disrupts or interferes with the orderly functioning of the university, disturbs the peace, or interferes with the performance of the duties of university personnel.

Any student with special needs or disabilities should schedule a time to see me as soon as possible.