San Diego State University

Department of Mathematics and Statistics

Advising Information

**M.S. APPLIED MATHEMATICS**

__Advisors__**: **Dr.
Stephen Hui, for emphasis in **Communications
Mathematics**

Drs.
Antonio Palacios and Ricardo
Carretero, for emphasis in **Dynamical Systems**

Dr.
Peter Salamon for other areas within Applied Mathematics

__Introduction:__

The Master of Science in Applied Mathematics has three tracks. Two of
the tracks (Communications Mathematics and Dynamical Systems) require students
to follow carefully prescribed courses of study. These programs are described
in detail at the links above. and are described elsewhere. The third track is designed for
flexibility in an effort to recognize that applied mathematics is in fact a
very broad discipline with many possible areas of application.

The student electing to focus on other areas is expected to have seriously
thought about their career options and put together a program that makes sense
for their chosen career path. Examples of recent career path choices using this
option include biomathematics, financial mathematics, control and optimization,
and preparation for teaching at the community college level and preparation for
a PhD program. A graduate adviser must approve the chosen program of study.

__Applications:__** **Applications to the Applied Mathematics program can be filed online at
the web pages of the Office of Admissions. The Graduate
Record Examination (aptitude only) is required.

__Preparation:__** **In preparation for the degree it is
expected that the student has a knowledge of the following (SDSU course numbers
shown): upper division Linear Algebra (524) 1 semester; Advanced Calculus (534
A&B) 2 semesters; Numerical Analysis (541) 1 semester, Probability and/or
Statistics (550 and/or 551A) 1 semester, Differential Equations (537) 1
semester. Programming proficiency in some language on some machine.

Deficiencies may be made up, but at most one course from the above list
can count toward the degree unit requirements. Deficiencies are to be completed
within the first year unless scheduling difficulties make this impossible. Students
in our program come from a variety of backgrounds. It is not unusual that many
of the students will need to take one or more of the preparatory courses (524,
534 A & B, 541, 537, 551A).

It is also recommended that the student possess a background in several
of the following areas: Mathematical Modeling (336); Partial Differential
Equations (531); Numerical Analysis (542); Mathematical Statistics (55lB);
Complex Analysis (532); Abstract Algebra (521A); at least one year of
coursework in a field of application such as Physics, Biology, Engineering,
etc.

__Financial Aid:__** **The Department of Mathematical
Sciences offers teaching assistantships for the support of qualified students.
Applications should include transcripts and two letters of recommendation.
Applications must be submitted to the Department Chairperson. (Teaching
assistants normally teach two lower division sections (6 units) per semester
from pre-calculus mathematics or statistics.) There are a limited number of
research assistantships available for students, but these are primarily for
second year students working with a faculty member who has a research grant.

General Requirements: General requirements for unclassified graduate
standing, classified standing, and advancement to candidacy are described in
the Graduate Bulletin.
To assist with advising, the student is expected to write a short description
(100‑200 words) of his or her particular interests and expectations from
the program. Based on this description, an appropriate faculty member will be
consulted to help design the student's program. After the first year of study,
the student should select a faculty member as an adviser whose interests
parallel his or hers for advanced study leading to a thesis or research project
By the end of the first year the student should file an Official Program which
has been approved by the graduate adviser. See the Graduate Bulletin for
more details on filing the Official Program of study.

__Course Requirements:__** **Candidates must take 30 units of adviser‑approved upper division
and graduate courses. All programs must include at least 21 units in Math &
Stats and at least 18 units selected from 600 and 700‑ number courses. At
most, six units in Mathematics 797, 798 and 799 will be accepted for credit
toward the degree.

Most students are encouraged to take a spectrum of courses covering many
areas of Applied Mathematics. These courses include Mathematical Modeling (636),
Numerical Analysis (542, 543, 693a, 693b), and Mathematical Statistics (670a,
670b). Students who have specific objectives should prepare a special program
in consultation with the faculty member who is supervising their thesis or
project. This latter option is especially important for students who plan to
pursue a Ph.D.

By the end of the first year, the student should select a faculty member
as an advisor whose research interests best parallel his or hers. The faculty
member will help the student select courses for the remainder of his or her
program. The student may be asked to enroll in a Technical Writing course
(English 503W) or to show other evidence of proficiency in technical writing,
if the adviser feels that this course is desirable before the student begins to
write the thesis or project.

For students who
wish to study a certain area in Applied Mathematics not covered by the current
curriculum, a special study (Math 798) on the subject can be taken under the
direction of a faculty member. Students should check each semester for special
seminar courses (Math 720), which are offered on topics of current interest.

Students must select Plan A in the graduate program and produce a
Masters thesis (799A). Under this plan, the student will write a thesis under
the direction of an officially appointed thesis committee of three (or more)
faculty members, which must include a least one member from outside the
Department of Mathematics and Statistics. The thesis requires a public oral
defense. Details on thesis preparation are discussed in the Graduate Bulletin.

__Petition:__** **A student may petition the Graduate
Committee of the Department of Mathematical Sciences for exception to one or
more requirements. The student should be aware, however, that good reasons are
necessary in order to obtain approval of a petition.