2011-2012 Bulletin â PDF - SEAS Bulletin - Columbia University
2011-2012 Bulletin â PDF - SEAS Bulletin - Columbia University
2011-2012 Bulletin â 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>