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

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UNDERGRADUATE MINORS
Undergraduate minors are designed
to allow engineering and applied
science students to study, to a
limited extent, a discipline other than
their major. Besides engineering minors
offered by SEAS departments, new liberal
arts minors are available.
A minor requires at least 15 points of
credit, and no more than one course
can be taken outside of Columbia or
met through AP or IB credit. This
includes courses taken through study
abroad. In SEAS departments with more
than one major program, a minor in the
second program may be permitted, if
approved by the department.
No substitutions or changes of any
kind from the approved minors are permitted
(see lists below). No appeal for
changes will be granted. Please note
that the same courses may not be used
to satisfy the requirements of more than
one minor. No courses taken for pass/fail
may be counted for a minor. Minimum
GPA for the minor is 2.0. Departments
outside SEAS have no responsibility for
nonengineering minors offered by SEAS.
For a student to receive credit for a
course taken while studying abroad, the
department offering the minor must
approve the course in writing, ahead of
the student’s study abroad.
Students must expect a course load
that is heavier than usual. In addition,
unforeseen course scheduling changes,
problems, and conflicts may occur. The
School cannot guarantee a satisfactory
completion of the minor.
SEAS 2009–2010
MINOR IN AMERICAN STUDIES
Minimum: 18 points.
1. AMST W101: Introduction to American
studies
3.0 points
2–6. Five additional courses in American
Studies with no distribution or seminar
requirements. Students are encouraged to
take seminars.
MINOR IN APPLIED
MATHEMATICS
Prospective students should consult the
first- and second-year requirements for
applied mathematics majors to ensure
that prerequisites for the applied mathematics
minor are satisfied in the first two
years.
Course work counting toward the
applied mathematics minor may not
include advanced placement credits.
Any substitutions for the courses listed
below require the approval of the
applied mathematics program adviser.
1. APMA E3101:
Linear algebra
3.0 points
or
MATH V2010: Linear algebra 3.0 points
2. APMA E3102:
Partial differential equations 3.0 points
or
MATH V3028:
Partial differential equations 3.0 points
3–5. Any three of the following courses:
APMA E4300:
Introduction to numerical methods 3.0 points
APMA E4204: Functions of
a complex variable
3.0 points
APMA E4101: Introduction to:
dynamical systems
3.0 points
MATH V2500:
Analysis and optimization 3.0 points
SIEO W4105: Probability
STAT W4107:
Statistical inference
3.0 points
3.0 points
or any other course designated APMA,
MATH, STAT, IEOR, or COMS that is
approved by the applied mathematics
program adviser.
MINOR IN APPLIED PHYSICS
Prospective students should consult the
first- and second-year requirements for
applied physics majors to ensure that
prerequisites for the applied physics
minor are satisfied in the first two years.
Course work counting toward the
applied physics minor may not include
advanced placement credits.
1. APPH E4901: Seminar: problems
in applied physics
1.0 points
2. PHYS W3003: Mechanics 3.0 points
3. APPH E3100: Introduction to
quantum mechanics
3.0 points
4. APPH E3300:
Applied electromagnetism 3.0 points
5. MSAE E3111: Thermodynamics,
kinetic theory, and statistical
mechanics
3.0 points
6. Two of the following courses:
APPH E4010:
Introduction to nuclear science 3.0 points
APPH E4100:
Quantum physics of matter 3.0 points
APPH E4110: Modern optics 3.0 points
APPH E4112:
Laser physics
3.0 points
APPH E4300:
Applied electrodynamics
3.0 points
APPH E4301:
Introduction to plasma physics 3.0 points