Complex Analysis
Lecture 2
Complex Analysis
A Complex Numbers and Complex Variables
In this chapter we give a short discussion of complex numbers and the theory of a function of a
complex variable.
Be
Second-Order Partial Differential Equations
Lecture 4 Second-Order Partial Differential Equations
In this lecture and in the next, well briefly review second-order PDEs. Well begin with one of the sim
Chapter1
The Di fferential Operator
A . C alculus
Let us fir st introduce a shorthand notation for the differential operator:
d
( 1.1)
.
D
dx
W e note that
D em x = mem x .
This means that, when it op
Separation of Variables
Lecture 5
Separation of Variables
Unlike first-order partial differential equations, solvable second-order partial differential
equations are much more limited in number. Many