The applied mathematics undergraduate program provides an excellent preparation for graduate study and for careers in which mathematical and technical sophistication are important. Using the large number of electives in these programs, students can tailor their programs to fit their personal and career interests.

Undergraduate Admissions

All undergraduate students apply to Columbia Engineering through the Office of Undergraduate Admissions

The applied mathematics program is flexible and intensive. A student must take the required courses listed below, or prove equivalent standing, and then may elect the other courses from mathematics, computer science, physics, earth and environmental sciences, biophysics, economics, business and finance, or other application fields. Each student tailors his or her own program in close collaboration with an adviser. He or she must also register for the applied mathematics seminar during both the junior and senior years. During the junior year, the student attends the seminar lectures for 0 points; during the senior year, he or she attends the seminar lectures as well as tutorial problem sessions for 3 or 4 points.

While it is common for students in the program to go on to graduate school, many graduating seniors will find employment directly in industry, government, education, or other fields.

BS Program

Of the 27 points of elective content in the third and fourth years, at least 15 points of technical courses approved by the adviser must be taken. The remaining points of electives are intended primarily as an opportunity to complete the four-year, 27-point nontechnical requirement, but any type of course work can satisfy them.

Transfers into the Applied Mathematics Program from other majors require a GPA of 3.0 or above, and the approval by the Chair of the Applied Mathematics Program.

If you are not a SEAS student, you must adhere to the program guidelines and requirements in the Columbia College Bulletin, Barnard Catalog, or on the General Studies website.

Curriculum

Bulletin update (5/22/2020): With permission of faculty advisor, students demonstrating familiarity with computational mathematics using Python may waive course requirement and use 3 credits for another technical course.

Bulletin update (7/27/2020) referring to Undergraduate Degree Tracks:

1)  Math UN2010 may be substituted for APMA E3101; Math UN3028 may be substituted for APMA E3102; Math UN3007 may be substituted for APMA E4204.

(2)  One course from Group A and one course from Group B required for graduation.

Group A: IEOR W3658 (Probability for engineers), STAT GU4105 (Probability), SIEO W3600 (Intro to probability and statistics), STAT GU4001 (Intro to probability and statistics), STAT UN3105 (Intro to probability), MATH W4155 (Probability theory).  

Group B: STAT UN3107 (Statistical inference), STAT GU4107 (Statistical inference), STAT GU4109 (Probability and statistical inference), SIEO GU4606 (Elementary stochastic processes), IEOR E3106 (Stochastic systems and applications),  IEOR E4106 (Stochastic models), IEOR E4703 (Monte Carlo simulation), COMS W4771 (Machine learning).

(3) With an advisor’s permission, an approved technical elective may be substituted.

(4)  Any course in science or engineering at the 3000 level or above qualifies as a technical elective, except for required or elective courses in the minor in entrepreneurship and innovation which do not count at technical electives unless authorized by an advisor. Other electives may be chosen from other departments in SEAS and Arts and Sciences, e.g., the Departments of Mechanical Engineering, Electrical Engineering, Mathematics, and Statistics.

Technical Electives

Applied mathematics students can focus their technical electives and develop a strong base of knowledge in a specialty area. There is no requirement to focus electives, so students may take as many or as few of the recommended courses in a specialty area as is appropriate to their schedules and interests.

For a comprehensive listing, please see: SEAS Bulletin: Specialy Areas in APAM, Technical Electives

Specialty Areas

Applied mathematics students can focus their technical electives and develop a strong base of knowledge in a specialty area. There is no requirement to focus electives, so students may take as many or as few of the recommended courses in a specialty area as is appropriate to their schedules and interests. Some specialties are given below, but this is not an exclusive list and others can be worked out in coordination with the student's adviser. The courses that are often taken, or in some cases need to be taken, in the junior year are denoted with a "J."

Undergraduate Research

There are multiple on-campus and off-campus research opportunities for undergraduate students

Advising

Have a question? Please feel free to contact our Student Services Coordinator or reach out to an Applied Mathematics Advisor:

General AM Undergraduate Advisors
Prof. Marc Spiegelman
Phone: 845-704-2323
Email: mspieg@ldeo.columbia.edu
Office: 211 Mudd
&
Prof. Adam Sobel
Phone: 212-854-6587
Email: ahs129@columbia.edu
Office: 217 Mudd

Class of 2021 AM Undergraduate Advisors
Prof. Marc Spiegelman (A-L)
Phone: 845-704-2323
Email: mspieg@ldeo.columbia.edu
Office: 211 Mudd
&
Prof. Chris Wiggins (M-Z)
Phone: 347-878-1256
Email: chris.wiggins@columbia.edu
Office: 428 Mudd, 4th floor Mudd, DSI suite

Class of 2022 AM Undergraduate Advisors
Prof. Lorenzo Polvani (A-L)
Phone: 212-854-7331
Emai: lmp@columbia.edu
Office: 216 Mudd
&
Prof. Michael Tippett (M-Z)
Phone: 212-851-5936
Email: michael.tippett@columbia.edu
Office: 287C Engineering Terrace