College graduates who have some background in mathematics and statistics and want graduate school preparation in the mathematics and statistics of finance and financial engineering, or are interested in a career change, can follow a structured curriculum developed with the Departments of Mathematics and Statistics.

Students are required to maintain an overall minimum GPA of 3.0 (B). Every course creditable toward the certificate must be taken for a letter grade. Courses with a grade below a C will not count toward the completion of the certificate.


The Quantitative Studies for Finance program includes:

Calculus Courses (2 Courses)

  • MATH V1102 or S1102. Calculus II . 3 pts.
  • MATH V1201 or S1201. Calculus III. 3 pts.

Also recommended but not required:

  • MATH V1202. Calculus IV. 3 pts.

Advanced Mathematics Courses (Choose 4 Courses)

  • MATH V2010 or S2010. Linear Algebra. 3 pts.
  • MATH E1210 or V3027 or S3027. Ordinary Differential Equations. 3 pts.
  • MATH V3028 or S3028. Partial Differential Equations. 3 pts.
  • MATH V2500. Analysis and Optimization. 3 pts.
  • Or *MATH W4061 or S4061. Introduction to Modern Analysis I. 3 pts.

Also recommended but not required:

  • MATH W4062 or S4062. Introduction to Modern Analysis II. 3 pts.

Statistics Courses (Choose 1 Course)

  • STAT W4150. Introduction to Probability and Statistics. 3 pts.

  • STAT W4105. Probability. 3 pts. and STAT W4107. Statistical Inference. 3 pts.

  • STAT W4109. Probability and Statistical Inference. 3 pts.

Also recommended but not required:

  • MATH W4062 or S4062. Introduction to Modern Analysis II. 3 pts.

Computer Science Courses (Choose 1 Course)

  • COMS W1003 or S1003. Introduction to Programming in C. 3 pts.
  • COMS W1004. Introduction to Computer Programming in Java. 3 pts.
  • COMS W1005. Introduction to Computer Science and Programming In MATLAB. 3pts
  • COMS W1007. Honors Introduction to Computer Science. 3pts.
  • COMS W3101. Programming Languages. 1 pt.

Any demonstrated proficiency in C, C++, or Java

Application Deadlines

International Students July 15
Domestic Students August 15
International Students November 15
Domestic Students January 5
Summer Session 1
International Students May 1
Domestic Students May 14
Summer Session 2
International Students June 1
Domestic Students June 25

Apply here for Fall or Spring. To apply for Summer, visit the Columbia Summer website.