2009-2010 Bulletin – PDF - SEAS Bulletin - Columbia University

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e. all 3000-level or higher courses
in the Civil Engineering and
Engineering Mechanics program,
except: CIEN E4128, E4129,
E4130, E4131, E4132, E4133,
E4134, E4135, and E4136
f. all 3000-level or higher courses
in the Earth and Environmental
Engineering program
2.Courses from the following departments
are not allowed to count
toward the required 48 units of
engineering courses:
a. Department of Applied Physics
and Applied Mathematics
b. Department of Computer Science
c. Department of Industrial
Engineering and Operations
Research
d. Program of Materials Science and
Engineering
The cell and tissue engineering track
requires 4.5 of the required 9 points of
technical electives to be from engineering
courses; in the biomechanics track,
2.5 points of technical electives must be
from engineering courses; in the imaging
track, the requirements satisfy the 48
points of engineering content. Once 48
points of engineering-content technical
electives are satisfied, students may
choose any course above the 3000 level
in SEAS as well as biology, chemistry,
and biochemistry as technical electives.
The accompanying charts describe
the eight-semester degree program
schedule of courses leading to the
bachelor’s degree in biomedical engineering.
GRADUATE PROGRAM
The graduate curriculum in biomedical
engineering employs the same three
tracks that compose the undergraduate
curriculum: biomechanics, cell and tissue
engineering, and biomedical imaging.
Initial graduate study in biomedical
engineering is designed to expand the
student’s undergraduate preparation
in the direction of the track chosen.
In addition, sufficient knowledge is
acquired in other areas to facilitate
broad appreciation of problems and
effective collaboration with specialists
from other scientific, medical, and engineering
disciplines. The Department of
Biomedical Engineering offers a graduate
program leading to the Master of
Science degree (M.S.), the Doctor of
Philosophy degree (Ph.D.), the Doctor of
Engineering Science degree (Eng.Sc.D.),
and the M.D./Ph.D. degree program.
Applicants who have a Master of
Science degree or equivalent may apply
directly to the doctoral degree program.
All applicants are expected to have
earned the bachelor’s degree in engineering
or in a cognate scientific program.
The Graduate Record Exam-ination
(General Test only) is required of all
applicants. Students whose bachelor’s
degree was not earned in a country
where English is the dominant spoken
language are required to take the TOEFL
test. M.S. degree candidates must
reach level 8 on the English Placement
Test (EPT) offered by Columbia’s
American Language Program (ALP).
Doctoral degree candidates must attain
level 10 on the English Placement Test
(EPT). The ALP examination must be
taken at orientation upon arrival. It is
strongly recommended the students
enroll in an appropriate ALP course if
they have not achieved the required
proficiency after the first examination.
In addition, the individual tracks require
applicants to have taken the following
foundation courses:
• Biomechanics: One year of biology
and/or physiology, solid mechanics,
statics and dynamics, fluid mechanics,
ordinary differential equations.
• Cell and Tissue Engineering:
One year of biology and/or physiology,
one year of organic chemistry or
biochemistry with laboratory, fluid
mechanics, rate processes, ordinary
differential equations.
• Biomedical Imaging: One year of
biology and/or physiology and/or
biochemistry. Linear algebra, ordinary
differential equations, Fourier analysis,
digital signal processing.
Applicants lacking some of these
courses may be considered for admission
with stipulated deficiencies that must be
satisfied in addition to the requirements
of the degree program. The Fu Foundation
School of Engineering and Applied
Science does not admit students holding
the bachelor’s degree directly to
doctoral studies; admission is offered
either to the M.S. program or to the M.S.
program/doctoral track. The Department
of Biomedical Engineering also admits
students into the 4-2 program, which provides
the opportunity for students holding
a bachelor’s degree from certain physical
sciences to receive the M.S. degree
after two years of study at Columbia.
CURRICULUM AND EXAM
REQUIREMENTS
Master’s Degree
In consultation with an appointed faculty
adviser, M.S. students should select a
program of 30 points of credit of graduate
courses (4000 level or above) appropriate
to their career goals. This program
must include the course in computational
modeling of physiological systems (BMEN
E6003); two semesters of BMEN E9700:
Biomedical engineering seminar; at least
four other biomedical engineering courses;
and at least one graduate-level mathematics
course. Students with deficiency
in physiology course work are required
to take the BMEN E4001-E4002 sequence
before taking BMEN E6003. Candidates
must achieve a minimum grade-point
average of 2.5. For students interested
in obtaining research experience, up to
6 credits of research (BMEN E9100)
may be applied toward the M.S. degree.
Doctoral Degree
Students admitted to the doctoral
degree program should select courses
to prepare for the doctoral qualifying
examination and register for research
rotations during the first two semesters
of graduate study. To facilitate future
collaboration with clinicians and biomedical
scientists, students are encouraged
to consider courses at the Health
Sciences campus or in the Department
of Biological Sciences.
Doctoral students must complete a
program of 30 points of credits beyond
the M.S. degree. The course in computational
modeling of physiological systems
(BMEN E6003) is required for the
doctoral program. At least two graduate
mathematics courses must be taken,
which may include the mathematics
course required for the M.S. degree.
Students must register for BMEN
E9700: Biomedical engineering seminar
and for research rotations during the
first two semesters of graduate study.
Remaining courses should be selected
SEAS 2009–2010