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

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APPLIED MATHEMATICS PROGRAM: FIRST AND SECOND YEARS
SEMESTER I SEMESTER II SEMESTER III SEMESTER IV
MATHEMATICS 1
PHYSICS
(three tracks, choose one)
CHEMISTRY/BIOLOGY
(choose one course)
ENGLISH
COMPOSITION
(three tracks, choose one)
MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) MATH V1202(3)
and ODE (3) 2
C1401 (3) C1402 (3) C1403 (3) C1494 (3)
C1601 (3.5) C1602 (3.5) C2601 (3.5) Lab C2699 (3)
C2801 (4.5) C2802 (4.5) Lab W3081 (2)
CHEM C1403 (3), or higher or BIOL W2001 (4)
or BIOL C2005 (4), or higher
C1010 (3)
Z1003 (0) C1010 (3)
Z0006 (0) Z1003 (0) C1010 (3)
REQUIRED
NONTECHNICAL
ELECTIVES
HUMA C1001, COCI C1101, HUMA C1002, COCI C1102,
or Global Core (3–4) or Global Core (3–4)
HUMA W1121 or ECON W1105 (4) and
W1123 (3) W1155 recitation (0)
REQUIRED
TECH ELECTIVES
(3) Student’s choice, see list of first- and second-year technical electives (professional-level courses; see pages 12–13)
COMPUTER
SCIENCE
PHYSICAL
EDUCATION
GATEWAY LAB
A computer language of the student’s choice at the 1000 level or higher
C1001 (1) C1002 (1)
E1102 (4) either semester
1 With the permission of the faculty adviser, students with advanced standing may start the calculus sequence at a higher level.
2 Applied mathematics majors should satisfy their ODE requirement with the Mathematics Department (ordinarily MATH E1210). Students who take APMA E2101
prior to declaring their major in applied physics may use this course to satisfy their ODE requirement.
out a special project under the supervision of the
staff. Credit for the course is contingent upon the
submission of an acceptable thesis or final report.
APPH E4010x Introduction to nuclear science
Lect: 3. 3 pts. Professor Ostrow.
Prerequisites: MATH V1202 and E1210 and PHYS
C1403 or their equivalents. This introductory course
is for individuals with an interest in medical physics
and other branches of radiation science. Topics
covered include basic concepts, nuclear models,
semi-empirical mass formula, interaction of radiation
with matter, nuclear detectors, nuclear structure
and instability, radioactive decay processes
and radiation, particle accelerators, and fission
and fusion processes and technologies.
APPH E4018y Applied physics laboratory
Lab: 4. 2 pts. Professor Mauel.
Prerequisite: ELEN E3401 or the equivalent.
Typical experiments are in the areas of plasma
physics, microwaves, laser applications, optical
spectroscopy physics, and superconductivity.
APPH E4090x Nanotechnology
Lect: 3. 3 pts. Offered in alternate years.
Professor Herman.
Prerequisites: APPH E3100 and MSAE E3103 or
their equivalents with the instructor’s permission.
The science and engineering of creating materials,
functional structures, and devices on the
nanometer scale. Carbon nanotubes, nanocrystals,
quantum dots, size-dependent properties,
self-assembly, nanostructured materials. Devices
and applications, nanofabrication. Molecular
engineering, bionanotechnology. Imaging and
manipulating at the atomic scale. Nanotechnology
in society and industry.
APPH E4100x Quantum physics of matter
Lect: 3. 3 pts. Professor Venkataraman.
Prerequisite: APPH E3100. Corequisite: APMA
E3102 or the equivalent. Basic theory of quantum
mechanics, well and barrier problems, the harmonic
oscillator, angular momentum identical
particles, quantum statistics, perturbation theory
and applications to the quantum physics of
atoms, molecules, and solids.
APPH E4110x Modern optics
Lect: 3. 3 pts. Offered in alternate years.
Not given in 2009–2010.
Prerequisite: APPH E3300 or the equivalent. Ray
optics, matrix formulation, wave effects, interference,
Gaussian beams, Fourier optics, diffraction,
image formation, electromagnetic theory of light,
polarization and crystal optics, coherence, guided
wave and fiber optics, optical elements, photons,
selected topics in nonlinear optics.
APPH E4112y Laser physics
Lect: 3. 3 pts. Not given in 2009–2010.
Recommended but not required: APPH E3100
and E3300 or their equivalents. Optical resonators,
interaction of radiation and atomic systems,
theory of laser oscillation, specific laser
SEAS 2009–2010