Advice for new graduate students of mathematics in the PhD program about prelims
at UT Austin:
Students are expected to take for credit three undergraduate or
graduate
courses each term. Below we list the possibilities for designing a
schedule. Note that students who are first-time TAs and have TA
appointments
that involve leading discussion sections are required by the College of
Natural
Sciences to take M 398T, so have only two courses to choose.
The primary goals of the
first two years of graduate school are two-fold: the first is to complete the prelim requirement;
the second and possibly more important
is to find a thesis advisor. Students should
keep the second objective in mind
while working on the first.
Just to review the prelim requirement: A student must pass the
prelim in one area, either pass the prelim or qualify for
(by getting an "A" in each semester of the prelim sequence) and
complete
the prelim option in a second area, and finally earn at least a "B"
each
semester in the prelim sequence in a third area. Prelims are offered in
Algebra, Analysis, Topology, and Applied Math. Students who
have decided on a thesis topic (and an advisor) outside these areas
(math biology, for example)
can sometimes by petition to the ASGSC and by request of their advisor
replace one of these areas with an oral in their special area.
Students should consult the appended list as to what the appropriate
backgrounds are for each prelim course. We also provide a list of
courses that will help a first-year graduate student pass from a
student with the required preparation
to the position of student with an excellent background. Students
should not hesitate to
take one prelim course for which they have only the necessary
background,
but it is suggested that a student not take several prelim courses at
the same time without being well-prepared for all but one of them.
Please note that the Applied
Math prelim covers applied functional analysis
and is useful for differential topology and analysis students.
Also note that the standard way to experiment and investigate whether a
particular professor would be a good match for you as a thesis advisor
is
to take a reading course with that professor. However, professors do
differ
as to what they require in order to agree to supervise a reading
sourse.
The following are guidelines ONLY.
They are meant to help students
choose a program of study wisely.
A. Students with missing background in all subjects: undergraduate
courses (with or without M398T, depending on financial aid status).
B. Students with some missing background: mixture of undergraduate,
prelim
preparation, and prelim courses.
C. Students with excellent preparation in one course (or none): mixture
of prelim and prelim preparation courses.
D. Students with excellent preparation in two areas: prelim courses.
E. Students with excellent preparation in three areas: mixture of
prelim and advanced topic or reading courses.