## MATH 62CM: Modern Mathematics: Continuous Methods

A continuation of themes from
Math 61CM, centered around: manifolds, multivariable integration, and the general Stokes' theorem. This includes a treatment of multilinear algebra, further study of submanifolds of Euclidean space and an introduction to general manifolds (with many examples), differential forms and their geometric interpretations, integration of differential forms, Stokes' theorem, and some applications to topology. Prerequisite:
Math 61CM.

Terms: Win
| Units: 5
| UG Reqs: GER:DB-Math, WAY-FR

Instructors:
Mazzeo, R. (PI)
;
Masullo, A. (TA)

## MATH 199: Independent Work

For math majors only. Undergraduates pursue a reading program; topics limited to those not in regular department course offerings. Credit can fulfill the elective requirement for math majors. Approval of Undergraduate Affairs Committee is required to use credit for honors majors area requirement. Contact department student services specialist to enroll.

Terms: Aut, Win, Spr, Sum
| Units: 1-3
| Repeatable for credit

Instructors:
Bump, D. (PI)
;
Carlsson, G. (PI)
;
Conrad, B. (PI)
...
more instructors for MATH 199 »

Instructors:
Bump, D. (PI)
;
Carlsson, G. (PI)
;
Conrad, B. (PI)
;
Fox, J. (PI)
;
Mazzeo, R. (PI)
;
Pollack, A. (PI)
;
Schoen, R. (PI)
;
Vakil, R. (PI)
;
Vasy, A. (PI)