Real and complex numbers and their properties. Vectors, matrices, eigenvalues, eigenvectors, diagonalization of matrices and quadratic forms, and applications. Fourier series, integrals, and transform. Basic probability. Orthogonal polynomials and special functions. Partial differential equations and separation of variables method. Calculus of complex variables.
[(MATH 251 with min. grade of D and MATH 252 with min. grade of D)]