Columbia College | Columbia Engineering

Technical Requirements: Calculus

What is required?

Completion of Multiple Variable Calculus (APMA 2000) is required for almost all SEAS majors. Be sure to review the SEAS Bulletin for specific requirements.


First and second year.

Can I test out?

No. However, previous background in calculus will help to determine placement level.

All first year SEAS students are required to start with calculus.  There are three entry points:

  • MATH UN1101: Calculus I
  • MATH UN1102: Calculus II
  • APMA 2000: Multivariable Calculus

Calculus I covers primarily differential calculus of functions of one variable with geometric applications and the Fundamental Theorem of Calculus.

Calculus II covers special functions, integration techniques, more geometric applications of integration, and infinite series, including Taylor series.

Multivariable Calculus Differential and integral calculus of multiple variables. 

Placement Guidelines

The Mathematics Department’s required placement guidelines for SEAS students are as follows:

Calculus I, if you:

  • have not taken calculus in high school, OR
  • have less than a full year of high school calculus, OR
  • have a full year of calculus but have a grade of less than 4 in an AP exam, or less than an A

Calculus II, if you:

  • have a 4 or 5 on the AB exam or a 4 on the BC exam, OR
  • received a 6 or 7 in higher level IB, OR
  • received an A or B in A-level Further Mathematics, OR
  • received an A in a full year non-AP calculus course

Multivariable Calculus, if you:

  • received a 5 on the BC exam

There will be information sessions and opportunities to speak with faculty and advisors during Orientation. If you find that you are in a course that is too easy or too hard, you may change your level within the first few weeks of the fall semester.

Applied Mathematics Department

200 S. W. Mudd Building, MC 4701
500 W. 120th Street
New York, NY 10027
Phone: 212-854-4457


James H. and Christine Turk Berick Center for Student Advising


403 Alfred Lerner Hall
2920 Broadway
New York, NY 10027

Call: (212) 854-6378

Fax: (212) 854-2458

Office Hours
9:00 a.m.–5:00 p.m.

Walk-in Hours (Sept-May)
3:00 p.m.–4:30 p.m.