B. linear independence,bases,
and dimension
II.Orthogonality
A.
inner products
B. orthogonal sequences
III.Fourier Series
A.
definitions and examples
B. sine and cosine series
IV.Legendre Polynolials and Bessel
Functions
A.
Bessel functions
B. Legendre polynomials
V.Waves and Vibrations
A.
one dimensional wave equation
B. two dimensional wave equation,
membranes, etc.
VI.Heat and Temperature
A.
one dimenensional heat equation
B. temperature of plates and solids
C. heat flow
[To be continued]
27 December 2000