1: 
Wed,  Jan  8 
Partial Differential Equations

   
first day handout

2: 
Fri,  Jan  10 
Review of ODEs

3: 
Mon,  Jan  13 
Separation of Variables

4: 
Wed,  Jan  15 
Fourier Series

5: 
Fri,  Jan  17 
Even and Odd Functions

   
Homework Set 1 Due
(problems)
Quiz 1
(solution)


Mon,  Jan  20 
Martin Luther King, Jr. Day 
6: 
Wed,  Jan  22 
Fourier Sine and Cosine Series

7: 
Fri,  Jan  24 
Convergence, Complex Form of Fourier Series

   
Homework Set 2 Due
(problems)
Quiz 2
(solution)

8: 
Mon,  Jan  27 
Parseval's Theorem and Mean Square Error


9: 
Wed,  Jan  29 
The Heat Equation

10: 
Fri,  Jan  31 
Steady State

   
Homework Set 3 Due
(problems)
Quiz 3
(solution)

11: 
Mon,  Feb  3 
Homogeneous Boundary Conditions on a Slab


Wed,  Feb  5 
Midterm Exam 1
(more hw solutions,
formulae,
solutions)

12: 
Fri,  Feb  7 
Homogeneous Boundary Conditions on a Slab

13: 
Mon,  Feb  10 
Orthogonal Functions

14: 
Wed,  Feb  12 
SturmLiouville Eigenvalue Problems

15: 
Fri,  Feb  14 
SturmLiouville Eigenvalue Problems

   
Homework Set 4 Due
(problems)
Quiz 4
(solution)

16: 
Mon,  Feb  17 
Nonhomogeneous Boundary Conditions

17: 
Wed,  Feb  19 
Asymptotic Behavior

18: 
Fri,  Feb  21 
TimeDependent Sources and Boundaries

   
Homework Set 5 Due
(problems)
Quiz 5
(solution)

19: 
Mon,  Feb  24 
The Wave Equation

20: 
Wed,  Feb  26 
The Vibrating String

21: 
Fri,  Feb  28 
Applications of Multiple Fourier Series

   
Homework Set 6 Due
(problems)
Quiz 6
(solution)



Mon,  Mar  3 
↑ 

Wed,  Mar  5 
Spring Vacation 

Fri,  Mar  7 
↓ 

22: 
Mon,  Mar  10 
Laplace's Equation and Applications

23: 
Wed,  Mar  12 
Bessel Functions

24: 
Fri,  Mar  14 
FourierBessel Series

   
Homework Set 7 Due
(problems)
Quiz 7
(solution)

25: 
Mon,  Mar  17 
The Vibrating Drumhead, Heat Flow in the Infinite Cylinder


26: 
Wed,  Mar  19 
Spherically Symmetric Solutions

27: 
Fri,  Mar  21 
Legendre Polynomials


Mon,  Mar  24 
Midterm Exam 2
(more hw solutions,
formulae,
solutions)

28: 
Wed,  Mar  26 
Laplace's Equation in Spherical Coordinates


29: 
Fri,  Mar  28 
Basic Properties of the Fourier Transform

   
Homework Set 8 Due
(problems)
Quiz 8
(solution,
altsolution,
supplement)

30: 
Mon,  Mar  31 
The Heat Equation for an Infinite Rod

31: 
Wed,  Apr  2 
The Method of Images

32: 
Fri,  Apr  4 
d'Alembert's Formula

   
Homework Set 9 Due
(problems)
Quiz 9
(solution)

33: 
Mon,  Apr  7 
Heat Equation and Wave Equation


34: 
Wed,  Apr  9 
Method of Characteristics


35: 
Fri,  Apr  11 
Green's Functions

   
Homework Set 10 Due
(problems)
Quiz 10
(solution)

36: 
Mon,  Apr  14 
The Green's Function for the Heat Equation

37: 
Wed,  Apr  16 
One Dimension

38: 
Fri,  Apr  18 
Properties of the Green's Function

   
Homework Set 11 Due
(problems)
Quiz 11
(solution)

39: 
Mon,  Apr  21 
Review


Wed,  Apr  30 
Final Exam
(more hw solutions,
formulae,
solutions)
