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

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60<br />

Applied mathematics program: first and second Years<br />

Semester i Semester iI Semester iII Semester iV<br />

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

MATH V1202(3)<br />

and ODE (3) 2<br />

physics<br />

(three tracks,<br />

choose one)<br />

C1401 (3)<br />

C1601 (3.5)<br />

C2801 (4.5)<br />

C1402 (3)<br />

C1602 (3.5)<br />

C2802 (4.5)<br />

C1403 (3)<br />

C2601 (3.5)<br />

Lab W3081 (2)<br />

C1494 (3)<br />

Lab C2699 (3)<br />

chemistry/<br />

biology<br />

(choose one course)<br />

CHEM C1403 (3), or higher or BIOL W2001 (4)<br />

or BIOL C2005 (4), or higher<br />

english<br />

composition<br />

(three tracks,<br />

choose one)<br />

C1010 (3)<br />

Z1003 (0)<br />

Z0006 (0)<br />

C1010 (3)<br />

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

required<br />

nontechnical<br />

electives<br />

HUMA C1001,<br />

COCI C1101,<br />

or Global Core (3–4)<br />

HUMA W1121 or<br />

W1123 (3)<br />

HUMA C1002,<br />

COCI C1102,<br />

or Global Core (3–4)<br />

ECON W1105 (4) and<br />

W1155 recitation (0)<br />

required<br />

tech electives<br />

(3) Student’s choice, see list of first- and second-year technical electives<br />

(professional-level courses; see pages 12–13).<br />

computer<br />

science<br />

MATLAB course COMS W1005, Introduction to Computer Science and Programming in MATLAB, is required<br />

for all Applied Mathematics majors and should be taken during freshman year. (It may be substituted with a C++<br />

or Python course with the permission of the Applied Math Program adviser.)<br />

physical<br />

education<br />

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

gateway lab<br />

E1102 (4) either semester<br />

1<br />

With the permission of the faculty adviser, students with advanced standing may start the calculus sequence at a higher level.<br />

2<br />

Applied mathematics majors should satisfy their ODE requirement with the Mathematics Department (ordinarily MATH E1210). Students who take APMA E2101 prior<br />

to declaring their major in applied physics may use this course to satisfy their ODE requirement.<br />

seminar during both the junior and senior<br />

years. During the junior year, the student<br />

attends the seminar lectures for 0 points;<br />

during the senior year, he or she attends<br />

the seminar lectures as well as tutorial<br />

problem sessions for 3 or 4 points.<br />

While it is common for students<br />

in the program to go on to graduate<br />

school, many graduating seniors will<br />

find employment directly in industry,<br />

government, education, or other fields.<br />

Of the 27 points of elective content<br />

in the third and fourth years, at least 15<br />

points of technical courses approved by<br />

the adviser must be taken. The remaining<br />

points of electives are intended primarily as<br />

an opportunity to complete the four-year,<br />

27-point nontechnical requirement, but any<br />

type of course work can satisfy them.<br />

Transfers into the applied<br />

mathematics program from other majors<br />

require a GPA of 3.0 or above, and the<br />

approval of the applied mathematics<br />

program chair.<br />

undergraduate Double<br />

Major in applied physics<br />

and applied mathematics<br />

Students satisfy all requirements for<br />

both majors, except for the seminar<br />

requirements. They are required to take<br />

both senior seminars, APMA E4903 and<br />

APPH E4903 (taking one in the junior<br />

year and one in the senior year, due<br />

to timing conflicts), but not the junior<br />

seminars, APMA E4901 and APPH<br />

E4901. A single course may be used<br />

to fulfill a requirement in both majors.<br />

Students must maintain a GPA at or<br />

above 3.75, and must graduate with at<br />

least 143 points, 15 above the regular<br />

128-point requirement. These extra 15<br />

points should be technical electives<br />

appropriate for one or both majors.<br />

To apply, a student first obtains<br />

the approval of both the general<br />

undergraduate AP adviser and the<br />

general undergraduate AM adviser, and<br />

then the approval of the Dean.<br />

Specialty Areas in APAM<br />

Both applied physics and applied math-<br />

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

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