Introduction to the numerical solution of the classic problems of linear algebra including linear systems, least squares, Singular value decomposition, eigenvalue problems. Crosslisted with CSE 6643.

Topics from complex function theory, including contour integration and conformal mapping.

Real numbers, topology of Euclidean spaces, Cauchy sequences, completeness, continuity and compactness, uniform continuity, series of functions, Fourier series.

The fundamentals of graph theory: trees, connectivity, Euler tours, Hamilton cycles, matchings, colorings, and Ramsey theory.