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 1307.

Contact Information and Office Hours
Instructor's office: A1017, 17^th & Horton (Sony bld).
Instructor's email: marcelo.disconzi@vanderbilt.edu.
Instructor's office hours: Tuesdays, 4:10-6:10pm, Thursdays, 1:30-2:30pm, 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 7	Introduction. Sections 1-3.
Jan 9	Separation of variables for the Schrodinger equation with a radially symmetric potential. Sections 4-4.2.	HW1 is posted on Brightspace. Due: Jan 20, 11:59pm.
Jan 14	The time independent Schrodinger equation. The angular equation. Legendre polynomials. Sections 4.3-4.4.	HW2 is posted on Brightspace. Due: Jan 27, 11:59pm.
Jan 16	Spherical harmonics. The radial equation. Sections 4.4-4.6.	HW3 is posted on Brightspace. Due: Feb 3, 11:59pm.
Jan 21	Separation of variables for the one-dimensional wave equation on an interval. Section 5.
Jan 23	Fourier series. Sections 6-6.2.	HW4 is posted on Brightspace. Due: Feb 10, 11:59pm.
Jan 28	The Fourier series of periodic functions and of functions on [0,L]. Back to the wave equation. Sections 6.3-6.5.
Jan 30	The 1d wave equation on ℝ. D'Almbert's formula, existence and uniqueness of solutions. Section 7.	HW5 is posted on Brightspace. Due: Feb 17, 11:59pm.
Feb 4	Domains of dependence and influence for the 1d wave equation. Generalized solutions. Sections 7.1-7.2.
Feb 6	Some general tools for studying PDEs. Formal aspects of PDEs. Sections 8-9.	HW6 is posted on Brightspace. Due: Feb 24, 11:59pm.
Feb 11	Fundamental solution to the Laplacian. Section 10.
Feb 13	Existence of solutions to Poisson's equation in ℝn.	HW7 is posted on Brightspace. Due: Mar 3, 11:59pm.
Feb 18	Harmonic functions. The mean-value formula and the maximum principle. Sections 10.1-10.2.
Feb 20	The wave equation in ℝn. Domains of dependence and influence. Section 11.
Feb 25
Feb 27
Mar 4
Mar 6
Mar 7-15	Spring break.
Mar 18
Mar 20
Mar 25
Mar 27
Apr 1
Apr 3
Apr 8
Apr 10
Apr 15
Apr 17
May 1, 9am	Final exam.	Location TBA.

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.