By combining the language of groups with that of geometry and linear algebra, Marius Sophus Lie created one of math’s most ...

All prerequisite courses must be passed with a grade of C- or better. For official course descriptions, please see the current CU-Boulder Catalog. MATH 3001 Analysis 1 Provides a rigorous treatment of ...

To further develop the theory of vector spaces over arbitrary fields and linear maps between them, including quotient spaces, dual spaces and canonical forms of linear maps. To introduce bilinear and ...

This unit further develops the theory of vector spaces over arbitrary fields and linear maps between them. Topics include quotient spaces, dual spaces, determinants, and canonical forms of linear maps ...

The purpose of all of the developmental mathematics courses is to support student success academically and beyond by advancing critical thinking and reasoning skills. Specifically in Algebra I, as a ...

John C. Urschel is an assistant professor in the MIT Math Department and a Junior Fellow at the Harvard Society of Fellows. He previously played for the Baltimore Ravens. This interview has been ...