RELATIONS AMONG THE SIX COURSES: MATH 4653, 5651, 5652, 5654
and STAT 5101, 5102.

by Professor Bert Fristedt

1. Math 5651=Stat 5101. In particular, credit cannot be earned
for both courses.

2. In order to take any one of the courses Math 5652, Math 5654,
and Stat 5102, credit in Math 5651=Stat 5101 (or the equivalent knowledge
from another institution) is needed.

3. Credit can be earned for all three of the courses Math 5652,
Math 5654, and Stat 5102.

4. Credit cannot be earned for Math 4653 if credit for any of the
other five courses has been previously earned.

5. Credit can be earned for both Math 4653 and Math 5651 if taken
in this order, and, in this case, both can count toward the total 4xxx-,
5xxx-level mathematics course requirement for undergraduate mathematics
majors.

6. However, for undergraduate mathematics majors, only one (but any one)
of the three courses---Math 4653, Math 5651, and Stat 5101 ---can
be used to partially fulfill the analysis requirement.

7. Math 4653 does not earn credit toward a graduate degree in
mathematics.  In so far as credit toward a graduate degree
in another department is concerned, the decision is up to that
other department.  Moreover, if that department does want it to
earn credit, that department must act affirmatively for it to
happen.

8. Math 4653 has considerable conceptual overlap with Math 5651
and some with Math 5652. The calculations in Math 4653 tend to
be much less involved than those in the two 5xxx-level courses.
For this reason, Math 4653 does not in itself prepare a student
to take Math 5652, Math 5654, or Stat 5102.  Despite a partially
different level of calculational complexity in Math 4653 from that
in Math 5651, the prerequisites for the two courses are, for
good reason, the same.  For instance, multiple integrals play a
significant role in both courses, but the more advanced multivariable
calculus topic of Jacobians plays a much larger role in Math 5651.