This course is a combination of two distinct but related areas of study: studio art and mathematics. Students are actively engaged in the design and fabrication of three-dimensional models that deal directly with aspects of mathematics. The class includes an introduction to basic building techniques with a variety of tools and media. At the same time each student pursues an intensive examination of a particular-individual-theme within studio art practice. The mathematical projects are pursued in small groups. The studio artwork is done individually.

Topics course. Normally offered in alternate years: Topology is a kind of geometry in which important properties of a shape are preserved under continuous motions (homeomorphisms)—for instance, properties like whether one object can be transformed into another by stretching and squishing but not tearing. This course gives students an introduction to some of the classical topics in the area: the basic notions of point set topology (including connectedness and compactness) and the definition and use of the fundamental group. Prerequisites: MTH 280 or 281, or permission of the instructor.

Topics course. Normally offered in alternate years.
: This is a second course in linear algebra that explores the structure of matrices. Topics may include characteristic and minimal polynomials, diagonalization and canonical forms of matrices, the spectral theorem, the singular value decomposition theorem, an introduction to modules, and applications to problems in optimization, Markov chains, and others.

Topics course: In this course students work in small groups on original research projects. The course is specifically designed for students in the Center for Women in Mathematics, but open to all serious mathematics students. Prerequisites: At least one of MTH 233, 238 or 281 and permission of the instructor.

In this class we don’t do math as much as we talk about doing math and the culture of mathematics. The class includes lectures by students, faculty and visitors on a wide variety of topics, and opportunities to talk with mathematicians about their lives. This course is especially helpful for those considering graduate school in the mathematical sciences. Prerequisites: MTH 211, MTH 212 and two additional mathematics courses at the 200-level, or permission of the instructor. May be repeated once for credit. This course is graded satisfactory/unsatisfactory only.

Functions of several variables; vector fields; divergence and curl, critical point theory; implicit functions; transformations and their Jacobians; 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.

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.

Vector spaces, matrices, linear transformations, systems of linear equations. 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 limit of 25 students.