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2008-2009 Bulletin – PDF - SEAS Bulletin - Columbia University

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154<br />

INDUSTRIAL ENGINEERING: FIRST AND SECOND YEARS<br />

SEMESTER I SEMESTER II SEMESTER III SEMESTER IV<br />

MATHEMATICS<br />

(three tracks, choose one;<br />

track jumping is<br />

prohibited)<br />

MATH V1101 (3) MATH V1102 (3) MATH V1201 (3) Linear algebra (3) 1<br />

Honors math I Honors math II Honors math III Linear algebra (3) 2<br />

Honors math I Honors math II Honors math III Honors math IV<br />

PHYSICS<br />

(three tracks, choose one)<br />

Chemistry or physics lab:<br />

C1401 (3) C1402 (3) PHYS C1493 (3) or<br />

C1601 (3.5) C1602 (3.5) PHYS W3081 (2) or<br />

C2801 (4.5) C2802 (4.5) CHEM C1500 (3) or<br />

CHEM C2507 (3) or<br />

CHEM C3085 (4) or<br />

CHEMISTRY<br />

(choose one course)<br />

ENGLISH<br />

COMPOSITION<br />

(three tracks, choose one)<br />

C1403 (3) or C1404 (3) or<br />

C1604 (3.5) or C3045 (3.5)<br />

C1010 (3)<br />

Z1003 (0) C1010 (3)<br />

Z0006 (0) Z1003 (0) C1010 (3)<br />

REQUIRED<br />

NONTECHNICAL<br />

ELECTIVES<br />

ECON W1105 (4) and W1155 recitation (0)<br />

either semester<br />

HUMA C1001, C0CI C1101, HUMA C1002, C0CI C1102,<br />

or Major Cultures (3–4) or Major Cultures (3–4)<br />

HUMA W1121 or W1123 (3)<br />

either semester<br />

FIRST- AND SECOND-<br />

YEAR DEPT.<br />

REQUIREMENTS<br />

COMPUTER<br />

SCIENCE<br />

PHYSICAL<br />

EDUCATION<br />

GATEWAY LAB<br />

Professional-level course (3) (see page 12) ENGI E2261 (3) SIEO W3600 (4)<br />

C1001 (1) C1002 (1)<br />

E1102 (4) either semester<br />

COMS W1004 (Java) (3) or<br />

COMS W1007 (Java) (3) 2<br />

and<br />

COMS W3134 (3) or<br />

COMS W3137 (4) 2<br />

1 The linear algebra requirement may be filled by either MATH V2010 or APMA E3101.<br />

2 Computer programming should be taken consecutively with data structures.<br />

<strong>Columbia</strong>. Master’s degree programs<br />

may include concentrations in:<br />

• engineering and management systems<br />

• production and operations management<br />

• manufacturing<br />

• industrial regulation studies<br />

Additional details regarding these<br />

concentrations are available in the<br />

department office. A thesis is not required.<br />

Students who plan post–master’s degree<br />

studies should give due consideration to<br />

the course, examination, and admission<br />

requirements of these programs.<br />

M.S. degree programs can be taken<br />

on a part-time basis or completed in<br />

one year of full-time study.<br />

Operations Research<br />

The graduate program in this area is<br />

designed to enable students to concentrate<br />

their studies in methodological<br />

areas such as mathematical programming,<br />

stochastic models, and simulation.<br />

However, the department also has a<br />

broadly based master’s degree program<br />

that enables students with engineering<br />

or other undergraduate majors that include<br />

strong mathematics preparation to complete<br />

work in two terms of full-time study.<br />

M.S. degree candidates are required<br />

to satisfy a core set of graduate courses<br />

in probability, statistics, linear programming,<br />

and simulation. All students must<br />

complete at least 18 points of operations<br />

research courses and at least 30<br />

points of graduate work at <strong>Columbia</strong>.<br />

The department considers it desirable<br />

that students construct balanced<br />

programs involving deterministic and<br />

<strong>SEAS</strong> <strong>2008</strong>–<strong>2009</strong>

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