Topics covered include first order differential equations, linear differential equations with constant coefficients, vector spaces and linear transformations, differential operators, systems of linear differential equations, power series solutions, and applications. There are generally several class examinations and regular assignments. Matrix Algebra I. Three terms of college mathematics. No credit granted to those who have completed 513. The course covers basic linear algebra and touches on several of its applications to many different fields.
Emphasis is on introducing a diversity of applications rather than treating a few in depth.
Topics emphasized include a review of matrix operations, vector spaces, Gaussian and Gauss-Jordan algorithms for linear equations, subspaces of vector spaces, linear transformations, determinants, orthogonality, characteristic polynomials, eigenvalue problems, and similarity theory. The class is elected by a cross section of students, and usually includes some graduate students. Introduction to Probability. This course is a basic introduction to the mathematical theory of probability. Course topics include fundamental concepts, random variables, expectations, variance, covariance, correlation, independence, conditional probability, Bayes' Theorem, distributions, random walks, law of large numbers and central limit theorem.