Topics include techniques of integration, applications of integration, differential equations, sequences, series, and Taylor series.

Topics include differential and integral calculus of functions of several variables.

Topics include differential and integral calculus of functions of several variables.

Topics include elements of the theory of matrices and vector spaces.

Studies some aspects of discrete mathematics. Topics include sets, functions, elementary probability, induction proofs, and recurrence relations.

Offers mathematics as a laboratory science. After a short introduction to the computer, uses hand and computer computation to explore mathematical ideas. Directs laboratory projects toward discovery of properties and patterns in mathematical structures. The choice of projects varies from year to year and is drawn from algebra, analysis, discrete mathematics, geometry, and statistics.

Topics include the real number system, convergence of sequences and series, power series, uniform convergence, compactness and connectedness, continuity, abstract treatment of differential and integral calculus, metric spaces, and point-set topology.

This is an introduction to differential equations for students in the mathematical or other sciences. Topics include first-order equations, second-order linear equations, qualitative study of dynamical systems, and first- and second-order linear partial differential equations.

Mathematical optimization involves finding the best solution to a problem from a set of feasible solutions defined by mathematical constraints. It has an elegant theory and applications in fields like management, economics, engineering, and computer science that require decision making under constraints on time or other resources. We will begin by studying linear optimization, including duality, the simplex algorithm, and the geometry of linear programming. Other topics will include discrete optimization, network optimization, and nonlinear optimization.

This course focuses on the various forms the story of the grail takes in Arthurian legends from the twelfth to the twentieth centuries in the literature of England, France, and Europe. Centered in medieval English versions of the Arthurian myth, the course considers the political and cultural forces that helped shape the grail legend after the fall of Jerusalem in 1187, and over the course of the later Middle Ages, into the twentieth century. Reading from Malory, Tennyson and contemporary fiction as well as chronicles and romances.