A. Course Summary:

     a. Parity of functions and ODE's

     b. Fourier Series and Fourier integrals

     c. Complex Fourier Series and Fourier Transform

     d. Derivation of PDE's

     e. Classification of PDE's

     f. Seperation of Variables and Eigenfunction Expansion

     g. Deriving various governing equations in orthogonal curvilinear       coordinates (especially cylindrical and spherical coordinates)

B. Course Goal:

     a. Let students to understand parity of functions and ODE’s.

     b. Let students to understand Fourier series and Fourier integrals.

     c. Let students to understand Fourier transform.

     d. Let students to understand the derivation of PDE’s.

     e. Let students to understand the classification of PDE’s.

     f. Let students to understand the separation of variables and eigenfunction expansion.

     g. Let students to have chance using symbolic computation software.