Undergraduate Prerequisites: (CASMA555 & (CASMA242 OR CASMA442)) or consent of instructor. - Graduate Prerequisites: (CASMA555 & (CASMA242 OR CASMA442)) or consent of instructor. - Numerical linear algebra; norms, elimination methods, error analysis, conditioning, eigenvalues, iterative methods, least squares and nonlinear functional minimization. Partial differentiation equation boundary value and initial value problems. Finite element methods. Legendre and Chebyshev polynomials. Treatment in greater depth of selected topics from CAS MA 555.