MS in Applied Mathematics

MS Program Requirements

This 30-point program leads to a Master of Science degree. Students must complete five core courses and five electives. A candidate is required to maintain at least a 2.5 grade point average. See the Bulletin for more details.

MS students must complete the Professional Development and Leadership Course, ENGI E4000, as a graduation requirement.

If a student admitted to the Applied Mathematics MS only program is interested in the PhD program, the student must re-apply for admission.

Core Courses

• APMA E4007: Applied Linear Algebra
• APMA E4008: Advanced Linear Algebra
• APMA E4101: Dynamical Systems
• APMA E4150: Applied Functional Analysis
• APMA E4200: Partial Differential Equations
• APMA E4204: Functions of a Complex Variable
• APMA E4300: Numerical Methods
• APMA E4301: Numerical Methods for Partial Differential Equations
• APMA E4302: Methods in Computational Science
• APMA E4306: Applied Stochastic Analysis
• APMA E4990: Topics in Applied Mathematics (Different Topics Can Be Counted as Different Courses)
• APMA E6301: Analytic Methods for Partial Differential Equations
• APMA E6302: Numerical Analysis of Partial Differential Equations

Elective Courses

A student must select five elective courses from those listed below (or any of those not used to satisfy the core requirements from the list above) for a total of 15 points of graduate credit. Additional courses not listed below can be applied toward the elective requirements, subject to the approval of the faculty adviser. *

* Courses from the Department of Economics, School of Business, School of International and Public Affairs, or quantitative courses offered by the School of Professional Studies may not be counted as electives toward the degree.

Computer science elective courses include:

• CS0R W4231: Analysis of algorithms, I
• C0MS W4236: Introduction to computational complexity
• C0MS W4241: Numerical algorithms and complexity
• C0MS W4252: Computational learning theory

* Industrial engineering/operations research elective courses include:

• IEOR E4003: Industrial economics
• IEOR E4004: Introduction to operations research: deterministic models
• IEOR E4007: Optimization: models and methods
• IEOR E4106: Stochastic models
• STAT GU4001: Introduction to probability and statistics
• IEOR E4403: Advanced engineering and corporate economics
• IEOR E4407: Game theoretic models of operations
• STAT GU4606: Elementary stochastic processes
• IEOR E4700: Introduction to financial engineering

*Please check IEOR website for registration procedures required of non-IEOR students   
https://ieor.columbia.edu/registration-guidelines-non-ieor-students

Other elective courses may be chosen from other departments in SEAS and Arts and Sciences, e.g., the Departments of Mechanical Engineering, Mathematics, and Statistics.

Advising

Have a question? Please feel free to contact our Student Services Coordinator or reach out to an Applied Mathematics Masters only & CVN Advisor.