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Mathematics majors often
consider an advanced degree in pure mathematics. Graduate study can
lead to a variety of career opportunities. For example, research
mathematicians and computer scientists are employed in research
centers, industry, and government agencies to work on both new and
long-standing math problems. Interdisciplinary groups of scientists
often include mathematicians and computer scientists who use their
skills to address complex problems that contain various types of
mathematical challenges. Others with graduate degrees become
professors who teach and supervise undergraduate or graduate
students along with other professional involvements.
The ability to apply and
communicate mathematical ideas is an essential skill for the pure
mathematician. Students are expected to develop the mental
disciplines of logic, clarity, and precision characterizing
mathematical expression and the ability of formulating and solving
problems during their undergraduate studies. Computer programming
and familiarity with a computer algebra system can favorably
complement your preparation. Involvement in undergraduate research
and taking the Putnam exam might also provide a rewarding and useful
experience.
Graduate work in mathematics
typically requires a broad preparation in undergraduate mathematics
with emphasis on proofs and abstraction. There are classes
particularly well-suited to enhance these abilities. Although
graduate schools have different expectations in this regard we
believe that the following courses are essential:
Additional courses should be
selected on the basis of interest and eventual emphasis in graduate
studies:
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Axiomatic Geometry (Math 360)
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Combinatorics (Math 380)
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Differential Geometry (Math 362)
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Linear Spaces (Math 390)
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Mathematical Logic (Math 350)
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Models of Computations (Math 420)
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Number Theory (Math 322)
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Probability Theory (Math 330)
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Set Theory (Math 352)
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Topology (Math 460)
We believe that at the more theoretical levels
there is no real distinction between pure and applied mathematics.
Majors are also advised to consider the following classes with a
more applied content:
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Ordinary Differential Equations/Dynamical Systems (Math
341/343) or Ordinary Differential Equations/Partial
Differential Equations (Math 342/344)
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Mathematical Modeling (Math 496)
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Mathematical Statistics (Math 332)
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Numerical Analysis (Math 370)
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Operations Research (Math 372)
We recommend that students
interested in pure mathematics consider a broad selection of courses
in order to be able to judge their own interest and affinity in
doing mathematics. Some upper division classes are offered as
Directed Seminars. You can also arrange Independent Study courses
with faculty if your area of interest is not addressed by regular
course offerings. Majors should consult the department if they want
to complement their math education by participating in an
Oxy
Abroad program.
Graduate schools have foreign
language requirements which might vary. Some schools prefer French,
German, or Russian to other languages.
If you have any questions,
please feel free to contact any member of the math department by
using our online form for current
students, e-mail us, or
come and visit us in Fowler!
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