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

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a minor in biomedical engineering may<br />

do so by taking BMEN E4001 or E4002;<br />

BIOL C2005; BMEN E4501 and E4502;<br />

and any one of several chemical engineering<br />

courses approved by the BME<br />

Department. See also page 189.<br />

GRADUATE PROGRAM<br />

The graduate program in chemical engineering,<br />

with its large proportion of elective<br />

courses and independent research,<br />

offers experience in any of the fields of<br />

departmental activity mentioned in previous<br />

sections. For both chemical engineers<br />

and those with undergraduate<br />

educations in other related fields such<br />

as physics, chemistry, and biochemistry,<br />

the Ph.D. program provides the opportunity<br />

to become expert in research<br />

fields central to modern technology and<br />

science.<br />

M.S. Degree<br />

The requirements are (1) the core courses:<br />

Chemical process analysis (CHEN<br />

E4010), Transport phenomena, III (CHEN<br />

E4110), and Statistical mechanics<br />

(CHAP E4120); and (2) 21 points of<br />

4000- or 6000-level courses, approved<br />

by the graduate coordinator or research<br />

adviser, of which up to 6 may be<br />

Master’s research (CHEN 9400).<br />

Students with undergraduate preparation<br />

in physics, chemistry, biochemistry,<br />

pharmacy, and related fields may take<br />

advantage of a special two-year program<br />

leading directly to the master’s<br />

degree in chemical engineering. This<br />

program enables such students to avoid<br />

having to take all undergraduate courses<br />

in the bachelor’s degree program.<br />

Doctoral Degrees<br />

The Ph.D. and D.E.S. degrees have<br />

essentially the same requirements.<br />

All students in a doctoral program must<br />

(1) earn satisfactory grades in the three<br />

core courses (CHEN E4010, CHEN<br />

E4110, CHAP E4120); (2) pass a qualifying<br />

exam; (3) defend a proposal of<br />

research within twelve months of passing<br />

the qualifying exam; (4) defend their<br />

thesis; and (5) satisfy course requirements<br />

beyond the three core courses.<br />

For detailed requirements, please consult<br />

the departmental office or graduate<br />

coordinator. Students with degrees in<br />

related fields such as physics, chemistry,<br />

biochemistry, and others are encouraged<br />

to apply to this highly interdisciplinary<br />

program.<br />

Areas of Concentration<br />

After satisfying the core requirement of<br />

Chemical process analysis (CHEN<br />

E4010), Transport phenomena, III (CHEN<br />

E4110), and Statistical mechanics<br />

(CHAP E4120), chemical engineering<br />

graduate students are free to choose<br />

their remaining required courses as they<br />

desire, subject to their research adviser’s<br />

approval. However, a number of areas of<br />

graduate concentration are suggested<br />

below, with associated recommended<br />

courses. Each concentration provides<br />

students with the opportunity to gain<br />

in-depth knowledge about a particular<br />

research field of central importance to<br />

the department. Graduate students outside<br />

the department are very welcome<br />

to participate in these course concentrations,<br />

many of which are highly interdisciplinary.<br />

The department strongly<br />

encourages interdepartmental dialogue<br />

at all levels.<br />

Science and Engineering of Polymers<br />

and Soft Materials. Soft materials<br />

include diverse organic media with<br />

supramolecular structure having scales<br />

in the range 1–100 nm. Their small-scale<br />

structure imparts unique, useful macroscopic<br />

properties. Examples include<br />

polymers, liquid crystals, colloids, and<br />

emulsions. Their ‘‘softness’’ refers to<br />

the fact that they typically flow or distort<br />

easily in response to moderate shear<br />

and other external forces. They exhibit<br />

a great many unique and useful macroscopic<br />

properties stemming from the<br />

variety of fascinating microscopic structures,<br />

from the simple orientational order<br />

of a nematic liquid crystal to the full periodic<br />

‘‘crystalline’’ order of block copolymer<br />

mesophases. Soft materials provide<br />

ideal testing grounds for such fundamental<br />

concepts as the interplay between<br />

order and dynamics or topological<br />

defects. They are of primary importance<br />

to the paint, food, petroleum, and<br />

other industries as well as a variety of<br />

advanced materials and devices. In<br />

addition, most biological materials are<br />

soft, so that understanding of soft materials<br />

is very relevant to improving our<br />

understanding of cellular function and<br />

therefore human pathologies. At <strong>Columbia</strong><br />

Chemical Engineering, we focus on several<br />

unique aspects of soft matter, such<br />

as their special surface and interfacial<br />

properties. This concentration is similar<br />

in thrust to that of the ‘‘Biophysics and<br />

Soft Matter’’ concentration, except here<br />

there is greater emphasis on synthetic<br />

rather than biological soft matter, with<br />

particular emphasis on interfacial properties<br />

and materials with important related<br />

applications. Synthetic polymers are<br />

by far the most important material in<br />

this class.<br />

CHEE E4252: Introduction to surface and colloid<br />

chemistry<br />

CHEN E4620: Introduction to polymers<br />

CHEN E4640: Polymer surfaces and interfaces<br />

CHEN E6620y: Physical chemistry of macromolecules<br />

CHEN E6910: Theoretical methods in polymer<br />

physics<br />

CHEN E6920: Physics of soft matter<br />

Biophysics and Soft Matter Physics.<br />

Soft matter denotes polymers, gels,<br />

self-assembled surfactant structures,<br />

colloidal suspensions, and many other<br />

complex fluids. These are strongly fluctuating,<br />

floppy, fluidlike materials that<br />

can nonetheless exhibit diverse phases<br />

with remarkable long-range order. In the<br />

last few decades, statistical physics has<br />

achieved a sound understanding of the<br />

scaling and universality characterizing<br />

large length scale properties of much<br />

synthetic soft condensed matter. More<br />

recently, ideas and techniques from soft<br />

condensed matter physics have been<br />

applied to biological soft matter such<br />

as DNA, RNA, proteins, cell membrane<br />

surfactant assemblies, actin and tubulin<br />

structures, and many others. The aim is<br />

to shed light on (1) fundamental cellular<br />

processes such as gene expression<br />

or the function of cellular motors and<br />

(2) physical mechanisms central to the<br />

exploding field of biotechnology involving<br />

systems such as DNA microarrays and<br />

methods such as genetic engineering.<br />

The practitioners in this highly interdisciplinary<br />

field include physicists, chemical<br />

engineers, biologists, biochemists, and<br />

chemists.<br />

The ‘‘Biophysics and Soft Matter’’<br />

concentration is closely related to the<br />

‘‘Science and Engineering of Polymers<br />

and Soft Materials’’ concentration, but<br />

85<br />

<strong>SEAS</strong> <strong>2009</strong>–<strong>2010</strong>

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