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Columbia University Course/Program Name
Application closes on
National :01 Oct 
International :01 Oct 

MS Applied Mathematics

 Course Level
Masters / PG
Full Time

2 Years
 Start month

 Tuition fee

53460 USD
53460 USD

Application fee

International 85 USD
National 85 USD
Department of Applied Physics and Applied Mathematics
Scores accepted
IELTS (min)7
TOEFL-IBT (min)100
TOEFL-PBT (min)600
GRE (avg)315
GMAT (avg)715

World University Ranking

About this course

Applied mathematics deals with the use of mathematical concepts and techniques in various fields of science and engineering. Historically, mathematics was first applied with great success in astronomy and mechanics. Then it developed into a main tool of physics, other physical sciences, and engineering. It is now important in the biological, geological, and social sciences. With the coming of age of the computer, applied mathematics has transcended its traditional style and now assumes an even greater importance and a new vitality.

Compared with the pure mathematician, the applied mathematician is more interested in problems coming from other fields. Compared with the engineer and the physical scientist, he or she is more concerned with the formulation of problems and the nature of solutions. Compared with the computer scientist, he or she is more concerned with the accuracy of approximations and the interpretation of results. Needless to say, even in this age of specialization, the work of mathematicians, scientists, and engineers frequently overlaps. Applied mathematics, by its very nature, has occupied a central position in this interplay and has remained a field of fascination and excitement for active minds.

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Eligibility Criteria

Eligibility Requirements

The basic requirement for admission as a graduate student is the bachelor's degree received from an institution of acceptable standing. Ordinarily, the applicant will have majored in the field in which graduate study is intended, but in certain programs preparation in a related field of engineering or science is acceptable. The applicant will be admitted only if the undergraduate record shows promise of productive and effective graduate work.

The M.S. degree is required for admission into the Ph.D. and Eng.Sc.D. degree programs. A student who holds an appropriate bachelor's degree in engineering may apply for admission for study for either the M.S. only or M.S. leading to Ph.D.

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Course Modules

This 30-point program leads to a Master of Science degree. Students must complete five core courses and five electives. All degree requirements must be completed within five years. A candidate is required to maintain at least a 2.5 grade point average.  

  • APMA E4001: Principles of applied mathematics
  • APMA E4101: Introduction to dynamical systems
  • APMA E4150: Applied functional analysis
  • APMA E4200: Partial differential equations
  • APMA E4204: Functions of a complex variable
  • APMA E4300: Introduction to numerical methods
  • APMA E4301: Numerical methods for partial differential equations
  • APMA E6301: Analytic methods for partial differential equations
  • APMA E6302: Numerical analysis for partial differential equations
  • Students must also take a required Research Seminar course, APMA E6100 x or y

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. *

* Absolutely no courses from the dept of economics, business school, sipa or quantitative courses offered by continuing education may be applied 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

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How to Apply

Application Requirements 
The following materials must accompany the online application:

  • Official transcript copy from every post-secondary institution attended
  • Three recommendation letters
  • Official Graduate Record Examination (GRE) General Test Scores
  • Personal statement
  • Resumé or Curriculum Vitae
  • $85 non-refundable application fee

Additional Requirements 
If you meet the following criteria you must submit additional material(s) as indicated:

  • Applied Physics Doctoral applicants: Official GRE Physics Subject Test Score
  • International applicants or applicants whose undergraduate degree was received in a country in which English is not the official and spoken language must meet the following additional requirements: Test of English as a Foreign Language (TOEFL), International English Language Testing System (IELTS) or Pearson Test of English (PTE Academic) official scores required. An exception is made for applicants who have earned an undergraduate degree or complete a master's degree in the United States before enrollment, in this case the applicant is not required to submit TOEFL or IELTS scores for admission.
  • Doctoral applicants to Computer Science must send the following documents by postal mail upon submission of the application (applicants to other programs will be asked to provide these documents at a later date):
    1. Official transcript from every post-secondary institution attended, from the institution in a sealed envelope
    2. Official copies of diploma/degree certificates (international students only)
    3. Translation of the official transcript(s) and degree/diploma certificate(s) is required if the institution(s) you attended does not issue transcripts in English. The translation must be conducted by a reputable service provider.  Personal transcript translations will not be accepted.

Candidates should NOT submit copies of awards, financial documentation, or other additional documents that are not required with the applicaiton. Submission of extra documents will not enhance chances of being admitted. Documents submitted will not be returned.

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