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The PhD degree program is sufficiently flexible to prepare candidates for
careers in industry, government, or academia. Course work provides a strong
background in applied mathematics. Students may specialize in a variety of
areas, including Classical Scattering Theory, Dynamical Systems, Inverse
Problems, Mathematical Finance, Mathematical Methods for Wave Phenomena,
Micro-local Analysis, Nonlinear Partial Differential Equations, Numerical
Analysis, Optimal Control, Optimization Software, Seismic Inverse Methods,
Symbolic Computing, and Wavelets. A course of study leading to the PhD degree
can be designed either for the student who has completed the MS degree or for
the student who has completed the bachelor's degree.
Following is a summary of the Doctor of Philosophy Program with an emphasis
in Applied Mathematics. Additional information on Graduate School Requirements
can be found in the
Graduate Bulletin.
Requirements for Admission
Applicants must have a Bachelor's or Master's degree, equivalent, from an
accredited institution. Students are expected to have completed courses in
linear algebra, vector calculus, ordinary differential equations, and advanced
calculus or real analysis. Applicants without the prequisites stated above may
occasionally be admitted with deficiencies.
Course Requirements
The following core courses are required of all students. Students who have
taken equivalent courses at another instituition may satisfy these requirements
by transfer.
Course descriptions of both graduate level courses and
senior level courses are available for you to review.
Qualifying Examination
Each student must pass three written exams, in the areas of Pure
Mathematics, Applied Mathematics, and Computational Mathematics. Each
exam will cover one course from the corresponding list below. Each student
will choose which course from each list he or she will be examined on.
Students are not required to take the courses in order to take the exams.
- Pure Mathematics (MATH 500, MATH 502, MATH 503)
- Applied Mathematics (MATH 510, MATH 514)
- Computational Mathematics (MATH 550, MATH 551)
Students should complete the qualifying exam within two years after
enrolling in the PhD program.
Doctoral Dissertation
A doctoral dissertation, comprising original work in applied mathematics,
must be completed and defended in an oral examination.
Students should find a thesis advisor and form a thesis committee by the end of
their second year. For more information, please see the
detailed requirements or a
sample timeline for the PhD program.
How to Apply
Applicants must submit the following materials:
- an application form, available online from the
Graduate Admissions home page.
- transcripts of undergraduate and graduate work
- a statement of purpose (short essay) from the applicant briefly describing background, interests,
goals at CSM, career aspirations, etc;
- three letters of recommendation; and
- the general Graduate Record Examination (GRE).
The Graduate School may require additional materials from some applicants,
for example, applicants whose native language is not English may be required to
provide proof of English proficiency by submitting TOEFL scores.
Variations from these requirements may be allowed in rare cases
where exceptional promise is clear from other evidence provided.
Please visit the
Online Graduate Information
Request Form to request more information from the Graduate School.
If you are interested in our program, we'd like to learn more about you. Please complete our
Online Request Form and we'll
send you additional information about our program.
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