Marcelo Mendes Disconzi
Department of Mathematics, Vanderbilt University
email: marcelo.disconzi at vanderbilt.edu
office: A1017, 17th & Horton (Sony bld)
phone: (615) 322 7147
mail to: 1326 Stevenson Center Ln, Vanderbilt University, Nashville, TN, 37240
Vanderbilt










Marcelo Mendes Disconzi
MATH 8110 - Theory of Partial Differential Equations

General Information
For a description of the course, including the grading policy, consult the course syllabus. Students are responsible for reading the syllabus and being aware of all the course and university policies.

There is no textbook for this course, and we will follow the class notes posted below. Some additional references are suggested in the course syllabus.

Classes meet on TR, 2:45-4pm at Stevenson Center 1312.

Contact Information and Office Hours
Instructor's office: A1017, 17th & Horton (Sony bld).
Instructor's email: marcelo.disconzi@vanderbilt.edu.
Instructor's office hours: Tuesdays, 4:10-6:10pm, Thursdays, 12-1pm, or by appointment.
Instructor's office phone: (615) 322-7147.

Class notes
Click here for the class notes. If you find some inconsistency or something that seems wrong in the class notes, it is likely a typo. In that case, please let the instructor know.

Schedule
Below is schedule for the course which will be updated as the course progresses (for the academic calendar, click here). Sections refer to the class notes. Materials (including HW) will be posted below or on Brightspace.

 Date  Material covered  Remarks
 Aug 21  Introduction. Examples. Section 1-4.  Homework 1.
 Aug 26  Laplace's and Poisson's equations. Fundamental solution. Existence of solutions to Poisson's equations. Properties of harmonic functions (regularity, mean value, maximum principle, etc.) Section 5.  Homework 2.
 Aug 28  Comments on the heat equation. The wave equation in 1, 2, 3, and arbitrary dimensions: existence and uniqueness, finite propagation speed, Duhamel's formula. Sections 7-8.  Homework 3, Homework 4.
 Sept 2    
 Sept 4    
 Sept 9    
 Sept 11    
 Sept 16    
 Sept 18    
 Sept 23    
 Sept 25    
 Sept 30    
 Oct 2    
 Oct 7    
 Oct 9  Fall break, no class.  
 Oct 14    
 Oct 16    
 Oct 21    
 Oct 23    
 Oct 28    
 Oct 30    
 Nov 4    
 Nov 6    
 Nov 11    
 Nov 13    
 Nov 18    
 Nov 20    
 Nov 25  Thanksgiving holidays, no class.  
 Nov 27  Thanksgiving holidays, no class.  
 Dec 2    
 Dec 4    


Anonymous feedback
Students are encouraged to bring suggestions and discuss with the course instructor any concerns they may have, including something they think is not being properly handled in the course. But if you do not feel comfortable doing that, here you have the opportunity to send anonymous feedback.