Midterm 
Thu, Feb 27,
in class 
Final Exam 
May 1, 35pm,
location SC 1120 
Date 
Material
Covered 
HW problems 
Remarks 
Jan 7 
Introduction.
Derivation of the wave equation for an oscillating string. 
Some background material. You can also get the Latex source file.  
Jan 9 
Initial
and boundary conditions for the wave equation. The heat equation. 

Jan 14 
More
on the heat equation. 
5.1, 5.5,
5.6, 5.7, 5.10, and 5.14. Due: Jan 23. 

Jan 16 
Separation
of variables for the wave equation. Dirichlet and Neumann boundary conditions. 
5.2, 5.3,
5.4, 5.11 Due: Jan 31. 

Jan
20 
Last day to drop the class
with no grade 

Jan 21 
Separation
of variables for the wave equation. Brief discussion on convergence; formal, strong/classical, and weak solutions. 

Jan 23 
Onedimensional
wave equation. Uniqueness, finite propagation speed,
D'Alembert's formula. 
4.2, 4.3,
4.4, 4.5, 4.6, 4.7, 4.8, 4.9. Due: Feb 7. 
For these
problems, read carefully corollary 4.11. Doing problem 4.1
before starting the assigned HW problems may be helpful. 
Jan 28 
Review
of multivariable calculus. 

Jan 30 
More
review of multivariable calculus. 
These
problems. Due: Feb 17. Also, these problems. Due: Feb 21. And these problems. Due: Feb 21. 

Feb 4 
Laplacian
in spherical coordinates. 

Feb 6 
The
threedimensional Schrodinger equation. 

Feb 11 
Schrodinger
equation: the angular equation; spherical harmonics. 
Class
notes. You can also get the Latex
source file. 

Feb 13 
Properties
of Legendre polynomials; orthogonal polynomials. 

Feb 18 
Schrodinger
equation for the Coulomb potential: the radial equation. 

Feb 20 
Schrodinger equation for the Coulomb potential: the radial equation.  These problems. Due: March 14.  
Feb 25 
Review
for the midterm. 

Feb 27 
Midterm 

Mar 4 
Spring
break 

Mar 6 
Spring
break 

Mar 11 
Test
correction 

Mar 13 
Fundamental
solution for the Laplacian in n dimension 

Mar
14 
Last day to drop with a W
in the course 

Mar 18 
Volumes
and areas in n dimenions. Polar coordinates in n dimensions. 

Mar 20 
Applications:
Green's function for halfspace and a ball. 

Mar 25 
More
on the fundamental solutions. Some rigorous derivations. 
HW problems
from the class notes.
Due: April 4. You can also get the Latex source file. Here the solutions, with the source file. 

Mar 27 
Solution
of Dirichlet problem via Green's function. 

Apr 1 
Mean
value formulas and the maximum principle. Applications. 

Apr 3 
More
on mean value formulas and the maximum principle. 

Apr 8 
Elementary
theory of distributions. 
HW problems
from the class notes.
Due: April 18. You can also get the Latex source file. Here the solutions, and the source file. 

Apr 10 
Distribtuions
and weak solutions. 

Apr 15 
Review 

Apr 17 
Review 

May 1 
Final Exam 