Bachelor of Science in MathematicsSchool of Arts and Sciences

This course introduces students interested in math or computer science to a level of abstraction and argumentation appropriate to those fields as well as providing some of the foundational mathematics and more importantly, way of thinking needed for success in either field. In addition, the course provides students the opportunity to see connections between the two fields such as those between symbolic logic and digital logic circuits or between recurrence and induction. Topics include: logic, methods of proof, sequences, induction, recursion, set theory, functions, relations, counting, probability, graphs, trees, analysis of algorithm efficiency.

Theory of ordinary differential equations with an emphasis on problems of the physical world which are modeled well by differential equations. Topics include first order equations, second order and higher linear equations, series solutions, and a brief introduction to numerical methods and partial differential equations as time permits.

An introduction to linear algebra including vector spaces, matrices, linear transformations, eigenvalues and eigenvectors; emphasis on gaining theoretical insights through computation, developing facility with elementary proof, and applying the concepts and computational methods to solve real world problems.