Marcelo Mendes Disconzi
Department of Mathematics, Vanderbilt University

email: marcelo.disconzi at vanderbilt.edu
office: Stevenson Center 1515
phone: (615) 322 7147
mail to: 1326 Stevenson Center Ln, Vanderbilt University, Nashville TN 37240

Vanderbilt












Marcelo Mendes Disconzi
MATH 3120 - Introduction to 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. Students taking this course for graduate credit should consult the MATH 5120 syllabus.

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 1313.

Contact Information and Office Hours
Instructor's office: Stevenson Center 1515 (5th floor of the Mathematics Building).
Instructor's email: marcelo.disconzi@vanderbilt.edu.
Instructor's office hours: Tuesdays, 4-6pm, Thursdays, 1-2pm, or by appointment.
Instructor's office phone: (615) 322-7147.

Class notes
Click here for the class notes, and here for the class notes in handwritten form. If you find some inconsistency or something that seems wrong in the class notes, it is likely a typo. In this case, double check the handwritten class notes and let the instructor know so that the notes can be corrected. Here are some complementary notes that cover some important background for the course.

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. HW will be collected on Brightspace.

 Date  Material covered  HW and remarks
 Jan 9  Introduction. Sections 1-3.  HW1 is posted on Brightspace.
 Jan 11  Separation of variables for the Schrodinger equation. Sections 4-4.4.  
 Jan 16  Canceled due to inclemental weather.  
 Jan 18  Spherical harmonics. The radial Schrodinger equation for the hydrogen atom. Sections 4.4-4.6.  HW2 is posted on Brightspace.
 Jan 23  Separation of variables for the 1d wave equation. Fourier series. Sections 5-6.1.  HW3 is posted on Brightspace.
 Jan 25  Some function spaces. Piecewise functions. Convergence of Fourier series. Sections 6.1-6.3.  
 Jan 30  Fourier series of periodic functions, sine and cosine Fourier series. Fourier series and the wave equation. Sections 6.4-6.5.  HW4 is posted on Brightspace.
 Fab 1  The wave equation in ℝ. D'Alembert's forumla. Existence and uniqueness. Domains of dependence and influence. Sections 7-7.1.  
 Feb 6  Generalized solutions to the 1d wave equation. Some tools for studying PDEs. Sections 7.2-8.4. See also the complementary notes.  HW5 is posted on Brightspace.
 Feb 8  Formal aspects of PDEs. Section 9.  
 Feb 13  Fundamental solution to the Laplacian. Section 10.  HW6 is posted on Brightspace.
 Feb 15  Solutions to Poisson's equations. Harmonic functions. Sections 10-10.1.  
 Feb 20    
 Feb 22    
 Feb 27    
 Feb 29    
 Mar 5    
 Mar 7    
 Mar 9-17  Spring break.  
 Mar 19    
 Mar 21    
 Mar 26    
 Mar 28    
 Apr 2    
 Apr 4    
 Apr 9    
 Apr 11    
 Apr 16    
 Apr 18    
 May 1st, 3pm  Final exam.  


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.