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MAT 546 

Partial Differential Equations
Spring 2012


Instructor. Michael Anderson, Math 4-110.
E-mail: anderson@math.sunysb.edu, Phone: 632-8269.
Lectures: MF: 12:50 - 2:10, in Physics P125.


Office Hours. Tu/W/Th 2-3pm, and by appointment.


Course Description. This course is an introduction to PDE. The field of PDE is huge, and the course will only cover a selection of this vast area. We will first focus on proving the basic existence and uniqueness theorems for linear PDE of the three basic types: elliptic, parabolic and hyperbolic. Then we will turn to non-linear PDE; topics here are still to be determined, possibly according to students' interests.


Text. No fixed text will be used, but the primary source will probably be:

Other standard and important texts include:

  • M. Taylor, Partial Differential Equations, Vol I-III, Springer Verlag, 1996
  • L. Hormander, The Analysis of Linear Partial Differential Operators, Vol 1-4, Springer Verlag, 1983-85.
  • D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, (Second Edition), Springer Verlag, 1983.
  • F. Treves, Basic Linear Partial Differential Equations, Academic Press, 1975


    • Assignments and Grading. No formal HW assignments will be given. Grades will be based on interest and class discussions.

    Americans with Disability Act. If you have a physical, psychological, medical or learning disability that may impact your course work, please contact Disabled Student Services in ECC (Educational Communications Center) Building, Room 128, (631) 632-6748, webpage at: DSS. They will determine with you what accomodations 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 Disabled Student Services. For procedures and information, go the following website: http://www.ehs.sunysb.edu/fire/disabilities/asp, here