Prerequisites

The introductory courses in each area require only the prerequisites (180 or 200 or 350 and 520 or 540) as background, and are generally good places to start exploring 1000-level courses. (We offer many other courses as well, but the above is a list of core courses.)

Advanced Courses

Once you've explored all three areas at the introductory/intermediate level, and you see what you like, you can move on to the advanced courses. The advanced courses in each area generally require (at least one of) the intermediate course(s) as a prerequisite: 1640 requires 1630, and both 1540 and 1560 require 1530. In Geometry/Topology, 1710 should be taken after you've seen introductory/intermediate courses in both Analysis and Algebra (1010/1630 and 1530).

Additional Areas

There are other courses we offer which don't fit exactly into any of the three areas listed above. These courses include 1110/1120 (ODEs/PDEs) and 1210/1220 (Probability/Statistics). These are also beautiful areas of mathematics and the tools developed there show up all over the place. Other departments offer versions of these courses. Our courses are distinct for the emphasis on theory as much as (or more than) practice.