Integrated Applied Mathematics (Ph.D.)

Integrated Applied Mathematics (Ph.D.)

Computer code and classroom

Why pursue a Ph.D. in integrated applied mathematics at UNH?

Integrated applied mathematics is a thriving field in which advanced mathematical and computational methods are brought to bear on complex problems from science, engineering, industry and society. Our program is designed to facilitate interdisciplinary research with participating faculty as you apply cutting-edge mathematical analysis and high performance computing to outside disciplines. You’ll be poised for work in fields such as data science, high-tech manufacturing, government research and academia.

Program highlights

Our program provides focused training in applied mathematics and an application area to give you a graduate-level education and research experience. Our faculty have expertise in a wide variety of applied math topics and application areas, including numerical methods, fluid dynamics, signal processing, dynamical systems and aerodynamics.

Potential career areas

  • Aerospace
  • Big Data
  • Communications
  • Data science
  • Energy
  • Government
  • Insurance
  • Manufacturing
  • Numerical analysis
  • Quantitative research
  • Systems engineering
IAM Program
Kingsbury Hall
33 Academic Way
Durham, NH 03824

Phone: (603) 862-1943

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Curriculum & Requirements

The IAM Program prepares students for research and teaching careers in the mathematical solution of critical problems in science and engineering. The emphasis of the IAM program is on the use of mathematics and computing to facilitate impactful interdisciplinary research. Accordingly, all students must achieve a high level of training through the required coursework. An IAM Ph.D. candidate is expected to achieve expertise in both applied and computational mathematics as well as one area of specialization including, but not limited to: Fluid Dynamics, Dynamical Systems, Plasma and Space Physics, Mathematical Geo- or Environmental Science, Materials and Solid Mechanics, or Biophysics.

Admission Requirements

Applicants to the IAM Ph.D. Program are expected to have a bachelor’s degree or master's degree in mathematics or an appropriate science or engineering field.


Please visit the Graduate School website for detailed instructions about applying to the program.

Required Courses
PHYS 931Mathematical Physics3
IAM 830Graduate Ordinary Differential Equations3
IAM 851Introduction to High-Performance Computing3
IAM 932Graduate Partial Differential Equations3
IAM 933Applied Functional Analysis3
IAM 961Numerical Analysis I: Numerical Linear Algebra3
IAM 962Numerical Partial Differential Equations3
Select a 2-course specialization sequence:6-7
MATH 847
IAM #950
Introduction to Nonlinear Dynamics and Chaos
and Spatiotemporal and Turbulent Dynamics
PHYS 953
PHYS 951
Magnetohydrodyamics of the Heliosphere
and Plasma Physics
ME 807
ME 909
Analytical Fluid Dynamics
and Viscous Flow
Select a minimum of three technical electives: 19
CS 830
Introduction to Artificial Intelligence
CS 858
IAM 940
Asymptotic and Perturbation Methods
ME 812
Waves in Fluids
ME 922
Continuum Mechanics
PHYS 812
Introduction to Space Plasma Physics
PHYS 818
Introduction to Solid-State Physics
PHYS 941
Electromagnetic Theory I
PHYS 965
Advanced Solid-State Physics
Total Credits36-37

Additional elective as approved by your advisor and program.

Candidacy Requirements

Students must pass a three part Ph.D. qualifying exam:

  • Comprehensive exam in mathematical methods
  • Comprehensive exam in scientific computing
  • Oral or written exam in a specialization area

Students must select a research adviser and have identified a research topic.


Students must submit a written thesis proposal and give a seminar presentation summarizing the proposal to a dissertation committee. 

Upon completion of research, a student must give a seminar summarizing the research objectives, methods, findings, and significance.

Students must submit a dissertation that includes original research in applied mathematics.  The dissertation must comply with all policies put forth by the Graduate School

  • Students are skilled at mathematical manipulations and analytic calculations broadly covering the field of applied mathematics. 
  • Students have developed sufficient mathematical background and understanding of key concepts to have a functional literacy in modern applied mathematics journals. 
  • Students can use numerical algorithms to approximate solutions to mathematical problems which are intractable by hand calculation and understand the impact of consistency, stability, and accuracy in the context of numerical computing. 
  • Students have made independent contributions to a significant mathematical research project and have clearly demonstrated the ability to conduct high-level, self-directed research in applied mathematics. 
  • Students are capable of disseminating the results of their research through written (e.g., journal) publications and oral presentations or seminars.


Applications must be completed by the following deadlines in order to be reviewed for admission:

  • Fall: Feb. 15 (for funding); April 1 (recommended US; final international); July 1 (final)
  • Spring: Dec. 1, Nov. 1 for international students
  • Summer: N/A
  • Special: N/A

Application fee: $65

Campus: Durham

New England Regional: No

Accelerated Masters Eligible: No

New Hampshire Residents

Students claiming in-state residency must also submit a Proof of Residence Form. This form is not required to complete your application, but you will need to submit it after you are offered admission or you will not be able to register for classes.


If you attended UNH or Granite State College (GSC) after September 1, 1991, and have indicated so on your online application, we will retrieve your transcript internally; this includes UNH-Durham, UNH-Manchester, UNH Non-Degree work and GSC. 

If you did not attend UNH, or attended prior to September 1, 1991, then you must upload a copy (PDF) of your transcript in the application form. International transcripts must be translated into English.

If admitted, you must then request an official transcript be sent directly to our office from the Registrar's Office of each college/university attended. We accept transcripts both electronically and in hard copy:

  • Electronic Transcripts: Please have your institution send the transcript directly to Please note that we can only accept copies sent directly from the institution.
  • Paper Transcripts: Please send hard copies of transcripts to: UNH Graduate School, Thompson Hall- 105 Main Street, Durham, NH 03824. You may request transcripts be sent to us directly from the institution or you may send them yourself as long as they remain sealed in the original university envelope.

Transcripts from all previous post-secondary institutions must be submitted and applicants must disclose any previous academic or disciplinary sanctions that resulted in their temporary or permanent separation from a previous post-secondary institution. If it is found that previous academic or disciplinary separations were not disclosed, applicants may face denial and admitted students may face dismissal from their academic program.

Letters of recommendation: 3 required

Recommendation letters submitted by relatives or friends, as well as letters older than one year, will not be accepted.

Personal Statement/Essay Questions

Prepare a brief but careful statement regarding:

  1. Reasons you wish to do graduate work in this field, including your immediate and long-range objectives.
  2. Your specific research or professional interest and experiences in this field.

Important Notes

All applicants are encouraged to contact programs directly to discuss program-specific application questions.

International Applicants

Prospective international students are required to submit TOEFL, IELTS, or equivalent examination scores. English Language Exams may be waived if English is your first language. If you wish to request a waiver, then please visit our Test Scores webpage for more information.

Explore Program Details

IAM Advising Form

The IAM Advising Form can be used as a guide to track courses as students progress in the Program. 

All IAM PhD graduate students are required to undergo the UNH Responsible Conduct of Research and Scholarly Activity (RCR).  The RCR Committee offers training in the ethical and responsible conduct of research three times a year: February, May and October.

This training opportunity involves two components:

  • Completion of UNH’s web-based program of RCR instruction
  • Participation in a three-hour seminar. .  

Please go to the RCR website for more information and the training dates.

All full-time degree students are required to have health insurance as a condition of enrollment.  These fees are covered for students on full-time graduate assistantship appointments or full-time fellowship appointments.  Please see go to the Health and Wellness website for more information about the health plan and enrollment details and deadlines. 

Graduate School Thrive Guide

The Graduate School Thrive Guide is a great resource for all Durham graduate students and post-docs. Learn about all the graduate student organizations and events and workshops, career support, professional development and more.

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