Various types of structures are studied in an effort to show how a mathematician communicates. This course covers geometry of n-space, functions of several variables, limits and continuity, differential and integral calculus of functions of several variables, vector analysis. This course covers linear equations and matrices, vector spaces, determinants, linear transformations and matrices, characteristic vectors and roots, and related topics. This course introduces students to non-continuous models which are important in the application of mathematics to various disciplines such as computer science. The principal topics treated are mathematical logic, boolean algebra, counting principles, probability and graph theory.
Attention is given to various methods of proof, in particular to mathematical induction.
Sophomore standing and proficiency in College Algebra or approval through placement. This course covers first order equations, linear equations, series solutions, the Laplace transform, systems of equations, nonlinear equations, numerical techniques. This course covers probability and statistical inference, discrete and continuous random variables, distributions, hypothesis testing, correlation and regression, testing for goodness of fit. This course covers finite differences, numerical differentiation and integration, linear systems and matrices, difference equations, error analysis and related topics. This course investigates the underlying algebra of computer science structures with an emphasis on set-relation systems.