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2011-2012 Bulletin – PDF - SEAS Bulletin - Columbia University

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108<br />

thin clients, and a 17-node (34CPU)<br />

IBM Netfinity cluster. The department<br />

uses a 3COM SIP IP phone system.<br />

The protocol was developed in the<br />

department.<br />

The department’s computers are<br />

connected via a switched 1 Gb/s<br />

Ethernet network, which has direct<br />

connectivity to the campus OC-3<br />

Internet and Internet2 gateways. The<br />

campus has 802.11a/b wireless LAN<br />

coverage.<br />

The servers have remote consoles<br />

and remote power for easy maintenance<br />

after hours.<br />

The research facility is supported by<br />

a full-time staff of professional system<br />

administrators and programmers,<br />

aided by a number of part-time student<br />

system administrators.<br />

Undergraduate Program<br />

Computer science majors at <strong>Columbia</strong><br />

study an integrated curriculum, partially<br />

in areas with an immediate relationship<br />

to the computer, such as programming<br />

languages, operating systems, and<br />

computer architecture, and partially<br />

in theoretical computer science and<br />

mathematics. Thus, students obtain the<br />

background to pursue their interests<br />

both in applications and in theoretical<br />

developments.<br />

Practical experience is an essential<br />

component of the computer science<br />

program. Undergraduate students<br />

are often involved in advanced faculty<br />

research projects using state-of-the-art<br />

computing facilities. Qualified majors<br />

sometimes serve as consultants at<br />

the Computer Center, which operates<br />

several labs with microcomputers<br />

and terminals available at convenient<br />

locations on the campus.<br />

Upper-level students in computer<br />

science may assist faculty members<br />

with research projects, particularly<br />

in the development of software.<br />

Ongoing faculty projects include<br />

algorithmic analysis, computational<br />

complexity, software tool design,<br />

distributed computation, modeling and<br />

performance evaluation, computer<br />

networks, computer architecture,<br />

CAD for digital systems, computer<br />

graphics, programming environments,<br />

expert systems, natural language<br />

processing, computer vision, robotics,<br />

multicomputer design, user interfaces,<br />

VLSI applications, artificial intelligence,<br />

combinatorial modeling, virtual<br />

environments, and microprocessor<br />

applications. Students are strongly<br />

encouraged to arrange for participation<br />

by consulting individual faculty<br />

members.<br />

Most graduates of the computer<br />

science program at <strong>Columbia</strong> step<br />

directly into career positions in computer<br />

science with industry or government,<br />

or continue their education in graduate<br />

degree programs. Many choose to<br />

combine computer science with a<br />

second career interest by taking<br />

additional programs in business<br />

administration, medicine, or other<br />

professional studies.<br />

For further information on the<br />

undergraduate computer science<br />

program, please see the home page<br />

(www.cs.columbia.edu/education/<br />

undergrad) and the Quick Guide (www.<br />

cs.columbia.edu/education/undergrad/<br />

seasguide).<br />

Technical Electives<br />

All technical electives except those<br />

noted in each track must be approved<br />

by the adviser. In every case, the<br />

technical elective course must be at<br />

the 3000 level or higher. All technical<br />

electives should be taken in computer<br />

science. With the adviser’s approval,<br />

however, courses in other departments<br />

may be taken as technical electives;<br />

in every such case, the subject of the<br />

course must have a strong and obvious<br />

connection with computer science.<br />

COMS W4400: Computers and society<br />

and ELEN E4901: Telecommunication<br />

networks and applications are not<br />

acceptable as technical electives<br />

and are the only advanced computer<br />

science courses that cannot be taken as<br />

electives.<br />

Students are encouraged to select<br />

one of the following five preapproved<br />

groupings of electives called “tracks.”<br />

An advanced version of each track<br />

is available by invitation for qualified<br />

students who wish an extra opportunity<br />

for advanced learning.<br />

The following courses are required<br />

as a preparation for all tracks: COMS<br />

W1004, W1007, W3137, W3157,<br />

W3203, W3210, W3251, W3261, CSEE<br />

W3827, and SIEO W4150 (SIEO W3600<br />

is an accepted substitute for W4150).<br />

Collectively these courses are called the<br />

CS Core Curriculum.<br />

Students who pass the Computer<br />

Science Advanced Placement (AP)<br />

Exam, either A or AB, with a 4 or 5 will<br />

receive 3 points of credit and exemption<br />

from COMS W1004.<br />

Note: A maximum of one course<br />

worth no more than 4 points passed<br />

with a grade of D may be counted<br />

toward the major or minor.<br />

Track 1: Foundations of CS Track<br />

The foundations track is suitable for<br />

students who plan to concentrate on<br />

theoretical computer science in graduate<br />

school or in mathematical topics such<br />

as communications security or scientific<br />

computation in their career plans.<br />

Register for track course COMS E0001.<br />

Required: 9 points<br />

CSOR W4231: Analysis of algorithms<br />

COMS W4236: Introduction to computational<br />

complexity<br />

COMS W4241: Numerical algorithms and complexity<br />

Breadth: 6 points<br />

Any COMS 3000- or 4000-level courses except<br />

those countable toward the CS core or foundations<br />

of CS track<br />

Electives: 15 points from the following list:<br />

COMS W4203: Graph theory<br />

COMS W4205: Combinatorial theory<br />

COMS W4252: Computational learning theory<br />

COMS W4261: Introduction to cryptography<br />

COMS W4281: Quantum computing<br />

COMS W4444: Programming and problem solving<br />

COMS W4771: Machine learning<br />

COMS W4772: Advanced machine learning<br />

COMS W4995: Math foundations of machine learning<br />

COMS E6232: Analysis of algorithms, II<br />

COMS E6261: Advanced crytography<br />

COMS E6717: Information theory<br />

COMS E6998: Approximation algorithms<br />

COMS W3902: Undergraduate thesis (with adviser<br />

approval; may be repeated for<br />

credit)<br />

COMS W3998: Projects in Computer Science (with<br />

adviser approval; may be repeated<br />

for credit)<br />

COMS W4901: Projects in Computer Science (with<br />

adviser approval; may be repeated<br />

for credit)<br />

COMS E6901: Projects in Computer Science (with<br />

adviser approval; may be repeated<br />

for credit)<br />

Note: No more than 6 units of project/thesis<br />

courses (COMS W3902, W3998, W4901, and<br />

E6901) can count toward the major.<br />

engineering <strong>2011</strong>–<strong>2012</strong>

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