Feasible solutions and the simplex method. The transportation problem. Informal accounts of the basic facts about infinite sets. Numerical methods for problems of linear algebra, including the solution of very large systems, eigenvalues, and eigenvectors. The real and complex number systems, basic set theory and topology, sequences and series, continuity, differentiation, Taylor's theorem.
Emphasis is placed on careful mathematical reasoning.
The Riemann-Stieltjes integral, uniform convergence of functions, Fourier series, implicit function theorem, Jacobians, and derivatives of higher order. The course also is a forum for sharing information about career opportunities and preparation for employment. May be repeated. May be repeated. Current topics in mathematics of interest to secondary school teachers.