300

This course focuses on ordinary differential equations, applications, nonhomogeneous equations, power series solutions, linear systems of equations and Laplace transforms.

A study of matrix algebra, systems of linear equations, determinants, vector spaces, linear transformations, eigenvalues and eigenvectors, inner products, orthogonality, change of basis and linear programming. Applications of various topics are presented as well.

This course prepares science students to organize, analyze, visualize, and interpret their data using mathematical techniques. Students learn to use a variety of computer applications to model systems and process measurement data specific to their discipline. They also learn the mathematics that powers these applications.

This course covers probability theory, discrete and continuous random variables, descriptive statistics, inferential statistics, linear regression and analysis of variance.

Students explore Euclid's geometry, its history, its strengths and weaknesses, advanced problems and its impact on the development of geometry. This latter topic includes axiomatic systems and the nature of proof, the parallel axiom, non-Euclidean geometries, projective geometry, and transformation geometry.

This history of mathematics spans the pre-Greek period to modern times. The mathematical emphasis is on famous theorems of each era. Biographical information on mathematicians and on historical analysis of each period will be included.

Students examine floating point arithmetic, polynomial interpolation, numerical methods of integration, numerical solution of non-linear equations and numerical linear algebra.

This course provides a formal presentation of the real number system and Euclidean vector spaces (inner products, norms and distance functions), basic topology, compactness and connectedness, continuity, differentiation, and integration.

A continuation of Advanced Calculus , this course studies uniform convergence, sequences and series of functions, differential and integral calculus for functions of several variables, the Implicit Function Theorem, and the Inverse Function Theorem.