A drumhead shortly after a single hit with a drumstick at a point halfway from the center to the rim. From an animation of a vibrating drumhead. Image courtesy of
Applied Real Analysis
[M]athematical analysis is as
extensive as nature itself. ...
It brings together the most diverse phenomena
and discovers the secret analogies which unite them.
[In particular,] the problems of the theory of heat present many examples
of those simple and constant relationships which spring from the
general laws of nature; and if the order which naturally occurs in
these phenomena could be grasped by our senses, it would produce
in us an impression comparable to that caused by harmony in music.
Joseph Fourier, The Analytical Theory
of Heat, 1822, pp. xiv-xv. [my translation -TP]
November 4: Midterm 2 grades have been posted to Blackboard.|
Stem-and-leaf chart of grade distribution
average for question 1: 21/40
average for question 2: 25/40
average for question 3: 7/20
Fall 2014 Schedule and Homework
This course is an introduction to Fourier series and to their
use in solving partial differential equations. The course
focuses on the heat equation, the wave equation and Laplace's
equation; these equations are important in applications
and also illustrate three important families of PDEs
(parabolic, hyperbolic, elliptic) with some of their general properties.
Prerequisite: familiarity with basic techniques in ordinary
The text is David Powers, Boundary Value Problems, 6th Edition.
Each student should have a scientific calculator.
Grading: Final letter grades will be based on midterms (22.5% each),
final exam (40%) and homework (15%). Homework will be collected at
the first lecture each week.
Schedule in Fall 2014:
Lecture TuTh 10-11:20 AM in Harriman Hall 116
For more information contact Prof. Anthony Phillips, Mathematics Department, 632-8259.
Email is best: tony at math.stonybrook.edu
Grader Zhao Mu mu.zhao at stonybrook.edu
Stony Brook University Syllabus Statement:
If you have a physical, psychological, medical, or learning
disability that may impact your course work, please contact
Disability Support Services at (631) 632-6748 or
http://studentaffairs.stonybrook.edu/dss/. They will determine with
you what accommodations are necessary and appropriate. All
information and documentation is confidential.
Students who require assistance during emergency evacuation are
encouraged to discuss their needs with their professors and
Disability Support Services. For procedures and information go to the
following website: http://www.stonybrook.edu/ehs/fire/disabilities.shtml
Academic Integrity: Each student must pursue his or her academic goals honestly and be personally accountable for all submitted work. Representing another person's work as your own is always wrong. Faculty are required to report any suspected instance of academic dishonesty to the Academic Judiciary. For more comprehensive information on academic integrity, including categories of academic dishonesty, please refer to the academic judiciary website at http://www.stonybrook.edu/uaa/academicjudiciary/.
Disruptive Behavior: Stony Brook University expects students to respect the rights, privileges, and property of other people. Faculty are required to report to the Office of Judicial Affairs any disruptive behavior that interrupts their ability to teach, compromises the safety of the learning environment, and/or inhibits students' ability to learn.
August 24, 2014