Functions of several variables; vector fields; divergence and curl, critical point theory; transformations and their Jacobians; implicit functions; manifolds; theory and applications of multiple integration; and the theorems of Green, Gauss and Stokes. Prerequisites: MTH 211 and MTH 212, or permission of the instructor. MTH 153 is encouraged.

This is a course in intuitive geometry and topology, with an emphasis on hands-on exploration and developing the visual imagination. Topics may include knots, geometry and topology of surfaces and the Gauss-Bonnet Theorem, symmetries, wallpaper patterns in Euclidean, spherical and hyperbolic geometries, and an introduction to 3-dimensional manifolds. Prerequisites: MTH 211 and 212 or permission of the instructor.

The course begins with the basic structure of graphs including connectivity, paths, cycles and planarity. e proceed to study independence, stability, matchings and colorings. Directed graphs and networks are considered. In particular, some optimization problems including maximum flow are covered. The material includes theory and mathematical proofs as well as algorithms and applications. Prerequisites: MTH 153 and MTH 211 or permission of the instructor.

An introduction to the concepts of abstract algebra, including groups, quotient groups and, if time allows, rings and fields. Prerequisites: MTH 153 and MTH 211, or permission of the instructor.

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

Theory and applications of limits, derivatives and integrals of functions of one, two and three variables. Curves in two-and three-dimensional space, vector functions, double and triple integrals, polar, cylindrical, spherical coordinates. Path integration and Green’s Theorem. Prerequisites: MTH 112. It is suggested that MTH 211 be taken before or concurrently with MTH 212.

Systems of linear equations, matrices, linear transformations, vector spaces. Applications to be selected from differential equations, foundations of physics, geometry and other topics. Students may not receive credit for both MTH 211 and MTH 210. Prerequisite: MTH 112 or the equivalent, or MTH 111 and MTH 153; MTH 153 is suggested. Enrollment limited to 35 students.

Offered CSC 205 and MTH 205. This course integrates the use of mathematics and computers for modeling various phenomena drawn from the natural and social sciences. Scientific topics, organized as case studies, span a wide range of systems at all scales, with special emphasis on the life sciences. Mathematical tools include data analysis, discrete and continuous dynamical systems and discrete geometry. This is a project-based course and provides elementary training in programming using Mathematica. Prerequisites: MTH 112 or MTH 114. CSC 111 recommended. Enrollment limited to 20.

An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics.

An introduction to discrete (finite) mathematics with emphasis on the study of algorithms and on applications to mathematical modeling and computer science. Topics include sets, logic, graph theory, induction, recursion, counting and combinatorics.