Teaching is required of all graduate students, typically one semester per year (exceptions include students with external funding and students beyond their fifth year).
Generally, first-year students work as coaches for calculus classes. As coaches, they meet with small discussion sections of undergraduates. In the first few weeks of the semester, graduate students attend a seminar that prepares them for coaching.
Second-year students often work as teaching assistants for a linear algebra class (Math 222 or Math 225) or the accelerated calculus and linear algebra sequence (Math 230-231). Duties usually include holding office hours or leading discussion sections but not homework grading.
Students in their third-year or above have the opportunity to teach their own section of calculus (differential, integral or multivariable).
In the Spring of their second-year, graduate students attend the Lang teaching seminar, which is listed as the class Math 827. In this lunch seminar, experienced faculty help students understand the challenges of teaching and prepare for leading their calculus class in the following year.