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

APPLIED PHYSICS: THIRD AND FOURTH YEARS
63
SEMESTER V SEMESTER VI SEMESTER VII SEMESTER VIII
PHYS W3003 (3) APPH E3100 (3) APPH E4300 (3) Course in second
Mechanics Intro. to quantum mechanics Applied electrodynamics AP area (3)
REQUIRED
COURSES
MSAE E3111 (3) APPH E3300 (3) APPH E4100 (3) APPH E4018 (2)
Thermodynamics Applied electromagentism Quantum physics Laboratory
APMA E3101 (3) APMA E3102 (3) Course in first
Linear algebra Partial differential equations AP area (3)
APPH E4901 (1) APPH E4903 (2)
Seminar
Seminar
ELECTIVES
TECH 1
NONTECH
OR TECH
3 points 3 points 2 points 9 points
3 points 3 points 3 points 3 points
TOTAL POINTS
16 15 16 17
1 They must include at least 2 points of laboratory courses. If PHYS W3081 is taken as part of the first two years of the program, these technical electives need not
include laboratory courses. Technical electives must be at the 3000 level or above unless prior approval is obtained.
one- and two-dimensional electron
gases, nanocrystals, and surfaces of
electronic and optoelectronic interest.
Facilities include a microelectronics laboratory,
high-pressure diamond anvil cells,
a molecular beam epitaxy machine,
ultrahigh vacuum systems, lasers, equipment
for the study of optical properties,
and the instruments in the shared facilities
of the Materials Research Science
and Engineering Center and the Nanoscale
Science and Engineering Center.
There are also significant resources for
electrical and optical experimentation at
low temperatures and high magnetic
fields. Specific course requirements for
the solid-state physics doctoral program
are set with the academic adviser, in
consultation with the Committee on
Materials Science and Engineering/
Solid-State Science and Engineering.
COURSES IN APPLIED PHYSICS
APPH E1300y Physics of the human body
Lect. 3. 3 pts. Professor Herman.
Prerequisites: PHYS C1201 or C1401, and
Calculus I; corequisites: PHYS C1202 or C1402,
and Calculus II. This introductory course analyzes
the human body from the basic principles of
physics. Topics to be covered include the energy
balance in the body, the mechanics of motion,
fluid dynamics of the heart and circulation, vibrations
in speaking and hearing, muscle mechanics,
gas exchange and transport in the lungs, vision,
structural properties and limits, electrical properties
and the development and sensing of magnetic
fields, and the basics of equilibrium and regulatory
control. In each case, a simple model of the body
organ, property, or function will be derived and
then applied. The course is approved as a SEAS
technical elective.
APAM E1601y Introduction to computational
mathematics and physics
Lect: 3. 3 pts. Instructor to be announced.
Introduction to computational methods in applied
mathematics and physics. Students develop solutions
in a small number of subject areas to acquire
experience in the practical use of computers to solve
mathematics and physics problems. Topics change
from year to year. Examples include elementary
interpolation of functions, solution of nonlinear
algebraic equations, curve-fitting and hypothesis
testing, wave propagation, fluid motion, gravitational
and celestial mechanics, and chaotic dynamics.
The basic requirement for this course is one year
of college-level calculus and physics; programming
experience is not required.
APPH E3100y Introduction to quantum
mechanics
Lect: 3. 3 pts. Professor Pedersen.
Prerequisites: PHYS C1403 or the equivalent,
and differential and integral calculus. Corequisite:
APMA E3101 or the equivalent. Basic concepts
and assumptions of quantum mechanics, Schrodinger’s
equation, solutions for one-dimensional
problems including square wells, barriers and the
harmonic oscillator, introduction to the hydrogen
atom, atomic physics and x-rays, electron spin.
APAM E3105x Programming methods for
scientists and engineers
Lect: 2.5. Lab: 1. 3 pts. Not given in 2009–2010.
Introduction to modern techniques of computer
programming for the numerical solutions to familiarity
with basic and advanced concepts of modern
numerical programming and acquire practical
experience solving representative problems in
math and physics.
APPH E3300y Applied electromagnetism
Lect: 3. 3 pts. Professor Venkataraman.
Corequisite: APMA E3102. Vector analysis, electrostatic
fields, Laplace’s equation, multipole expansions,
electric fields in matter: dielectrics, magnetostatic
fields, magnetic materials, and superconductors.
Applications of electromagnetism to devices and
research areas in applied physics.
APPH E3900x and y Undergraduate research
in applied physics
0 to 4 pts. Members of the faculty.
This course may be repeated for credit, but no
more than 6 points of this course may be counted
toward the satisfaction of the B.S. degree requirements.
Candidates for the B.S. degree may conduct
an investigation in applied physics or carry
SEAS 2009–2010