in person
PhD in Engineering & Computational Mathematics
Combining the full resources of CGU’s Institute of Mathematical Sciences and the College of Engineering at California State University, Long Beach (CSULB), this joint degree program integrates advanced techniques in mathematical analysis with the latest in engineering innovation, research, and coursework. You’ll draw upon the expertise of faculty at two leading universities and study at a pace that fits your busy professional life. Flexibly designed to meet your individual needs, the joint PhD program in Engineering & Computational Mathematics offers ideal training for careers in aerospace, artificial intelligence, transportation, logistics, and more.
Thanks to its flexible scheduling, this career-oriented program attracts students from well-known engineering and research firms, including Boeing, Northrup Grumman, and Raytheon.
With a joint degree from the CSULB/CGU program, you’ll be prepared to build a career in the growing fields of:
72 units
required units
PhD in Engineering & Computational Mathematics
degree awarded
In Person
modality
Spring, Summer, Fall
program start
7 years | full time*
estimated completion time
ReResearch Nanotechnology
RAND Corporation
Jet Propulsion Laboratory
Hess Corporation
New Jersey Institute of Technology
U.S. Patent & Trademark Office
Professor of Mathematics
Research Interests
Probability, Statistics, Computing, Algorithms, Navigation, Systems Engineering, Mathematical Finance
Ellis Cumberbatch Professor of Mathematics
Program Director, PhD in Engineering & Computational Mathematics
Research Interests
Surfactant-driven thin film flows in biomedical applications; Nonlinear parabolic equations; Stability problems in fluid dynamics; Scientific computations; Applied operator theory; Sturm-Liouville problems
Distinguished Research Professor of Mathematics
Research Interests
Approximation theory, Computational harmonic analysis, Machine learning, Signal processing
Professor of Mathematics
Research Interests
Fluid Dynamics, Mathematical Modeling, Scientific Computing
Adjunct Professor of Mathematics
Research Interests
Stochastic processes, Statistics, Risk management, Financial derivatives, Actuarial sciences, Statistical software
Research Associate Professor of Mathematics
Research Interests
Statistical inferences, Stochastic differential equations, Stochastic modeling, Simulation, Machine learning, Approximation theory, Graph theory
Joseph H. Pengilly Professor of Mathematics
Director, Institute of Mathematical Sciences
Research Interests
Discrete optimization; Network models; Statistical physics; Random combinatorial structures
Adjunct Professor of Mathematics
Research Interests
Probabilistic methods in computational biology, Statistical inference of genetic networks, Bioinformatics
Professor of Mathematics
Academic Director, Financial Engineering Program
Research Interests
Financial engineering, Credit risk, Stochastic analysis, Traffic models
Pomona College
Research Interests
Noncommutative/quantum metric geometry, functional analysis, operator algebras
Harvey Mudd College
Research Interests
Combinatorics, game theory, operations research
Harvey Mudd College
Research Interests
Applied dynamical systems, fluid mechanics, self-similarity and scaling
Claremont McKenna College
Research Interests
Randomized algorithms, Markov chains, stochastic processes, discrete geometry, statistical physics
Harvey Mudd College
Research Interests
Partial differential equations, variational methods, inverse-function theorems, water waves (solitons)
Harvey Mudd College
Research Interests
Computational fluid dynamics, numerical linear algebra, mathematical biology
Pomona College
Research Interests
Computational topology, manifold learning
Scripps College
Research Interests
Mathematical biology, epidemiological modeling
Claremont McKenna College
Research Interests
Number theory, discrete geometry
Pomona College
Research Interests
Complex symmetric operators, operator theory, complex function theory
Pomona College
Research Interests
Algebraic geometry, number theory, representation theory
Harvey Mudd College
Research Interests
Differential geometry, Grassman manifolds
Harvey Mudd College
Research Interests
Mathematical data science, optimization, applied convex geometry
Pomona College
Research Interests
Model-based clustering, outlier detection, robust clustering, analysis of microarray data
Claremont McKenna College
Research Interests
Machine learning, high-dimensional probability, computational geometry
Harvey Mudd College
Research Interests
Nonlinear elliptic partial differential equations, fluid dynamics
Claremont McKenna College
Research Interests
Numerical analysis and scientific computing
Pomona College
Research Interests
Lie & Hopf algebras, quantum groups, Poisson-Lie structures, combinatorial representation theory
Claremont McKenna College
Research Interests
Computational biology, cophylogenetics, design and analysis of algorithms
Harvey Mudd College
Research Interests
Commutative algebra, homological algebra, representation theory
Harvey Mudd College
Research Interests
Operations research, applied probability, aviation security
Claremont McKenna College
Research Interests
Algebraic topology, knot theory
Harvey Mudd College
Research Interests
Combinatorial optimization, graph theory, algebraic geometry
Claremont McKenna College
Research Interests
Complex analysis and harmonic analysis
Harvey Mudd College
Research Interests
Harmonic analysis on finite groups, algebraic voting theory
Claremont McKenna College
Research Interests
High-performance computing, data science
Pomona College
Research Interests
Dynamical Systems, stochastic processes, applications of dynamical systems to instrument modeling, sound generation, and interactive composition
Keck Graduate Institute
Research Interests
Genomics, computational and systems biology
Pomona College
Research Interests
Nonlinear analysis, differential equations
Pomona College
Research Interests
Number theory and commutative algebra, p-adic formal group
Pomona College
Research Interests
Combinatorics, representation theory of finite groups
Keck Graduate Institute
Research Interests
Bioengineering, microfluidics
Harvey Mudd College
Research Interests
Geometric and topological combinatorics, game theory, mathematical economics
Scripps College
Research Interests
Arithmetic geometry, algebraic number theory, combinatorics
Harvey Mudd College
Research Interests
Spatial-temporal modeling of rainfall data
Claremont McKenna College
Research Interests
Low-dimensional topology, applications to molecular biology, data analysis, and quantum computation
Harvey Mudd College
Research Interests
Mathematics education, applied mathematics, perturbation theory, partial differential equations
Harvey Mudd College
Research Interests
Applied mathematics, mathematical modeling, complex systems, nonlinear dynamics, network theory, social systems, mathematical biology
Degree Requirements
A minimum of 72 units of course work, independent study, and research (including transfer credit) must be completed.
Residency Requirement
The residency requirements for the PhD degree may be met either by two semesters of full-time study in a 24-month period or by the completion of 48 units of course work within a 48-month period, including work in the summer session, on either or both campuses.
Research Tool
A student in the joint PhD program must demonstrate proficiency in problem-solving ability using computer programs. This demonstration may take different forms depending on the student’s engineering sub-discipline, but it must include evidence that the student has used an appropriate computer language and an algorithmic method to solve a problem from an engineering discipline.
Preliminary Examinations
The student is required to pass written preliminary examinations. These examinations consist of two examination areas: one in engineering and one in mathematics.
Research Preparation
On completion of at least 48 units of course work (including transfer units) and completion of the preliminary examinations and research tool test, a student embarks on the research phase of the joint doctoral program. In preparation for the research phase, the student is expected to spend at least a semester in advanced graduate courses, seminars, or directed reading courses, where exposure to research material is emphasized.
Research Proposal and Qualifying Examination
The student will define an area of proposed research and prepare a written dissertation proposal containing an outline of the research to be undertaken and references to relevant source materials. The dissertation proposal is presented to the doctoral committee at least two weeks prior to the qualifying examination. The qualifying examination is an oral presentation to the doctoral committee by the student describing the research planned. The student is expected to present evidence both as to the mathematical content and to the engineering application of the proposed research, supporting such evidence with references to previous research work in both areas.
Advancement to Candidacy
After successful completion of the qualifying examination and certification that all other requirements are fulfilled, the student is advanced to candidacy.
Dissertation and Final Oral Examination
On completion of the research, the student will prepare the Dissertation in accordance with CGU regulations. A final draft of the dissertation will be presented to each member of the doctoral committee at least three weeks prior to the final oral examination. The oral defense will be held on the campus of the dissertation supervisor.
University Requirements | |
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Application Fee | $80 (fee is non-refundable) |
Official Transcripts | Undergraduate/graduate Applicants must submit a sealed, official transcript from every undergraduate and graduate institution that has granted the applicant a degree. Electronic transcripts sent to admissions@cgu.edu are also accepted. For undergraduate coursework, applicants are required to submit proof of a completed bachelor’s degree from a regionally accredited college or university. Unofficial copies of transcripts are accepted for review purposes, but official copies will be required upon admission. Applicants currently earning a degree that will be completed prior to attending CGU are required to submit a transcript showing work in progress for evaluation purposes. Once the degree has been granted, a final official transcript documenting the degree conferred must be submitted to CGU. International applicants are advised to review the International Transcript Guidelines for additional information on submitting international transcripts. |
English Proficiency Exam | Required (international applicants only) A valid score on one of the following examinations TOEFL, IELTS, Pearson PTE, Duolingo English Test is required of all non-native English-speaking applicants. The examination is not required for the following applicants:
CGU’s school code for the TOEFL exam is 4053. International applicants are encouraged to visit our International Applicants page for more information, including score requirements. |
Resume | Applicants must submit an up-to-date copy of their resume. |
Program Requirements | |
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Statement of Purpose | Please submit a 2-3 page statement of purpose that details your academic and/or professional achievements, your specific areas of research interest within your desired field of study, why you are a strong candidate for graduate studies at CGU, and your career goals. |
Academic Prerequisites | To be admitted to the Engineering & Computational Mathematics doctoral program, an applicant must have received a bachelor’s or master’s degree in science, engineering, or mathematics from a regionally accredited institution. |
Letter of Recommendation | 2 letters required When filling out the online application, please enter references acquainted with your potential for success who will submit a written recommendation on your behalf. In most academic departments, references from faculty members who can speak to your academic ability are preferred; applicants with substantial work experience may request professional references. Please do not enter family members as references. You will be required to input information for your recommenders (whether they are submitting online or not) in the “Recommendations” section of the online application. Please follow the directions in this section carefully before clicking on “Recommendation Provider List” to input the names and contact information for each recommender. You will have an opportunity to indicate if the reference writer will be submitting online. These reference writers will receive an email from CGU with instructions on submitting an online recommendation. Recommenders who are indicated as offline will not receive an email from CGU with instructions to submit. These reference writers can submit via traditional mail and should use the supplemental New Student Recommendation Form. Recommenders can also email their letter of recommendation to the Office of Admissions at admissions@cgu.edu. |
Standardized Test Scores | GRE or GMAT required GMAT or GRE examination scores must be dated within the past five years. Request that an official GMAT or GRE score be sent to admissions directly from Educational Testing Service (ETS). Scores must be sent directly to CGU by the testing agency. CGU’s school codes: |
In order to be considered for admission, applicants must submit separate and complete applications to both Cal State Long Beach and Claremont Graduate University. Both application fees are required.
You can also visit the Cal State Long Beach program page for program information and faculty listings.
CGU operates on a priority deadline cycle. Applicants are strongly encouraged to submit complete applications by the priority dates in order to assure maximum consideration for both admission and fellowships.
Once the priority deadlines have passed, the University will continue to review applications for qualified candidates on a competitive, space-available basis. The final deadlines listed are the last date the University can accept an application in order to allow sufficient time to complete the admissions, financial aid, and other enrollment processes.
Spring 2025
Priority Deadline – November 1, 2024
Final Deadline (International) – November 15, 2024
Final Deadline (Domestic) – December 1, 2024
Classes begin – January 21, 2025
Fall 2025
Priority Deadline – February 1, 2025
Final Deadline (International) – July 5, 2025
Final Deadline (Domestic) – August 1, 2025
Classes begin – August 25, 2025
Program | 72 units |
Tuition per unit* | $2,020 |
*Based on 2024-2025 tuition rates.
$245 Student Fee |
$150 Technology Fee |
International Student Services Fee*: $661 fall semester, $776 spring semester **Applies to all international students (F-1 visa only) who are registered in coursework, doctoral study, or continuous registration. The fee is assessed each fall and spring semester for annual ISO accident and sickness plans and administrative fees. Subject to change. |
For estimates of room & board, books, etc., please download CGU’s Cost of Attendance 2024-2025.
Engineering & Computational Mathematics Clinic
CGU’s internationally recognized Engineering & Computational Mathematics Clinic offers first-hand experience solving significant mathematical problems for industry and government clients.
Recent projects include:
Claremont Center for the Mathematical Sciences
Through the Claremont Center for the Mathematical Sciences (CCMS), you’ll have access to one of the largest mathematical science communities in California, as well as to workshops, conferences, and seminars, including: