Sampling, tests of hypotheses, estimation, linear models, and regression. Spring, even-numbered Years. Zeros of polynomials, difference equations, systems of equations, numerical differentiation and integration, numerical solution of differential equations, eigenvalues and eigenvectors. Spring, odd-numbered years. Investigation of a series of physical situations for which mathematical models are developed.
Emphasis is on the process.
This course is intended to give the student an opportunity to pursue special studies not otherwise offered. Topics in recent years have been chaos, fractals, cellular automata, number theory, and dynamical systems. May be repeated for credit. Advanced Multivariable Analysis. Continuous and differential functions from R m , into R m , integration, differential forms, Stokes's theorem.