Applied Analysis - Math 4500

Instructor:  Professor Stephen Montgomery-Smith
Text Book:   Partial Differential Equations with Fourier Series and Boundary Value Problems, 2nd Ed., Nakhle Asmar.  One place to get the book for a reasonable price is at  Also, additional course material may be obtained at

Office: 222 Math Science Building
E-mail: (this is an effective way to communicate with me).
Telephone:  882-4540.  If you get my answering machine, please state your telephone number slowly and clearly.
Office Hours:  Mon 11a.m., Wed 11a.m., or by appointment, or if I am not busy when you turn up.  Please take advantage of office hours.  If these hours are not convenient for you, please see me after class, or email me, and I can see you at a time that is convenient.

Tests (3): 100 pts each, total 300 pts.    Final: 200 pts.    Homework and Quizzes: total 100 pts.   Total Points: 600 pts.

The course will mostly be over parts of Chapters 1-4 and Chapter 7. We will cover the folowing topics: Fourier series, the one dimensional heat and wave equations, the two dimensional heat, wave, Laplace and Poisson equations on the rectangle, Bessel functions and Bessel series, the two dimensional heat, wave, Laplace and Poisson equations on the circular disc, and the Fourier transform. 

There will be three midterms, held at times to be decided upon.  The first midterm will take place shortly before the last day to drop without a grade (  The second midterm will be in the middle of the semester.  The last midterm will be around the last week of class.  The final will be held according to The final grades will include plus/minus grading for graduate students as well as undergraduates.

For the second and third midterm, and also the final, you will be permitted to bring notes into the exam with you.

Problems with the Instructor:  If you have any problem with this course, please report it to Professor Ian Aberbach (Director of Undergraduate Studies) either by phone (882-7682) or by e-mail (

American Disabilities Act:  If you need accommodations because of a disability, if you have emergency medical information to share with me, or if you need special arrangements in case the building must be evacuated, please inform me immediately. Please see me privately after class, or at my office. or contact me by email or by phone.

To request academic accommodations (for example, a notetaker), students must also register with the Office of Disability Services, (, S5 Memorial Union, 882-4696. It is the campus office responsible for reviewing documentation provided by students requesting academic accommodations, and for accommodations planning in cooperation with students and instructors, as needed and consistent with course requirements. For other MU resources for students with disabilities, click on "Disability Resources" on the MU homepage.

Academic Dishonesty:  Academic integrity is fundamental to the activities and principles of a university. All members of the academic community must be confident that each person's work has been responsibly and honorably acquired, developed, and presented. Any effort to gain an advantage not given to all students is dishonest whether or not the effort is successful. The academic community regards breaches of the academic integrity rules as extremely serious matters. Sanctions for such a breach may include academic sanctions from the instructor, including failing the course for any violation, to disciplinary sanctions ranging from probation to expulsion. When in doubt about plagiarism, paraphrasing, quoting, collaboration, or any other form of cheating, consult the course instructor.

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