Placeholder image for Applied and Computational Math

Applied and Computational Math, Ph.D.

  • Application Deadline
  • 48 months
University rank #6 (WUR) Princeton, NJ, United States
 The Program in Applied and Computational Mathematics offers a select group of highly qualified students the opportunity to obtain a thorough knowledge of branches of mathematics indispensable to science and engineering applications, including numerical analysis and other computational methods.
Access all 180000+ programmes, for free with a Studyportals account.
account benefits visualised


  • Students must choose three areas in which to be examined out of a list of six possibilities specified below. The student should choose their specific topics by the end of October. The director of graduate studies, in consultation with the student, appoints a set of advisers from among the faculty and associated faculty. The adviser in each topic meets regularly with the student, monitors progress and assigns additional reading material. Advisers are traditionally members of the Princeton University faculty within the department, but members of the faculty from other departments may serve as advisers with approval. They can be any member of the University faculty, but are normally either program or associated faculty. In consultation with the topic advisers, the first-year student should choose three topics from among the following six applied mathematics categories:
  • Asymptotics, analysis, numerical analysis and signal processing; Discrete mathematics, combinatorics, algorithms, computational geometry and graphics; Mechanics and field theories (including computational physics/chemistry/biology); Optimization (including linear and nonlinear programming and control theory); Partial differential equations and ordinary differential equations (including dynamical systems); and Stochastic modeling, probability, statistics and information theory. Additional topics may be considered with prior approval by the director of graduate studies.
  • Typically, students take regular or reading courses with their advisers in the three topic areas of their choice, completing the regular exams and course work for these courses.  

Pre-Generals Requirement(s):

  • At the end of the first year, students will also take a preliminary exam, consisting of a joint interview by their three first-year topic advisers. Each student should decide with their first-year advisers which courses are relevant for their examination areas.
  • Students should assess their level of preparation for the preliminary examination by reviewing homework and examinations from the previous year’s work.  Students who fail the preliminary examination, may, with the support of the first-year advisers, take the examination a second time.

Detailed Programme Facts

  • Programme intensity Full-time
    • Full-time duration 48 months
  • Languages
    • English
  • Delivery mode
    On Campus

Programme Structure

Courses listed below are graduate-level courses that have been approved by the program’s faculty as well as the Curriculum Subcommittee of the Faculty Committee on the Graduate School as permanent course offerings. Permanent courses may be offered by the department or program on an ongoing basis, depending on curricular needs, scheduling requirements, and student interest. 

Courses may include: 

  • Current Topics in Dynamic Meteorology 
  • Analytical Techniques in Differential Equations
  • Methods and Concepts in Electronic Structure Theory
  • Numerical Algorithms for Scientific Computing
  • Software Engineering for Scientific Computing
  • Mathematical Methods of Engineering Analysis I 
  • Mathematical Methods of Engineering Analysis II 
  • Applied Dynamical Systems

English Language Requirements

  • Minimum required score:


    The TOEFL iBT ® measures your English-language abilities in an academic setting. The test has four sections (reading, listening, speaking, and writing), each with a score range of 0-30, for a total score range of 0-120.

  • Minimum required score:


    The IELTS – or the International English Language Test System – tests your English-language abilities (writing, listening, speaking, and reading) on a scale of 1.00–9.00. The minimum IELTS score requirement refers to which Overall Band Score you received, which is your combined average score. Read more about IELTS.

    Get a free IELTS practice test

Academic Requirements

  • This programme accepts GRE® scores. However, it does not provide a recommended score range.

    Schedule GRE®

    The GRE® General Test is a widely administered admissions test that measures the skills needed in today's graduate and business school programs worldwide. The GRE® General Test contains three sections - Verbal Reasoning, Quantitative Reasoning, and Analytical Writing. Three scores are reported: a Verbal Reasoning score on a 130 - 170 score scale in one-point increments, a Quantitative Reasoning score on a 130 - 170 score scale in one-point increments, and an Analytical Writing score on a 0 - 6 score scale in half-point increments.

General Requirements

Application Requirements:

  • Statement of Academic Purpose
  • Resume/Curriculum Vitae
  • Recommendation Letters
  • Transcripts
  • Fall Semester Grades
  • Prerequisite Tests
  • English Language Tests
GRE :General test required and subject tests in mathematics, physics, engineering or a related field recommended.
  • Application Fee: $90

Tuition Fee

  • International

    49450 USD/year
    Tuition Fee
    Based on the original amount of 49450 USD per year and a duration of 48 months.
  • National

    49450 USD/year
    Tuition Fee
    Based on the original amount of 49450 USD per year and a duration of 48 months.
We've labeled the tuition fee that applies to you because we think you are from and prefer over other currencies.

For Ph.D. candidates, tuition and fees are provided in the form of tuition support from fellowships, assistantships, or external sources.

Living costs for Princeton

  • 2022 - 4980 USD/month
    Living Costs

The living costs include the total expenses per month, covering accommodation, public transportation, utilities (electricity, internet), books and groceries.


Sources of Funding
  • Fellowships
  • Assistantships
  • External Funding
  • Veteran's Benefits
  • Travel Grants
  • Education Loans and Work Study
  • Assistance Programs

Studyportals Tip: Students can search online for independent or external scholarships that can help fund their studies. Check the scholarships to see whether you are eligible to apply. Many scholarships are either merit-based or needs-based.


You’ve wishlisted multiple studies. Did you know you can compare them side-by-side in our Compare-tool?