in person

Engineering & Computational Mathematics

PhD in Engineering & Computational Mathematics

Whether you’re well into your engineering career or just beginning, the joint PhD in Engineering & Computational Mathematics broadens your understanding of the mathematical principles that underlie all engineering sub-disciplines and increases your professional value.

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.

Program Highlights

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:

  • Operations research
  • Statistics
  • Computer science
  • Computational sciences
  • Biomechanics
  • Energy sustainability

Program At-a-glance

  • 72 units

    required units

  • PhD in Engineering & Computational Mathematics

    degree awarded

  • In Person

    modality

  • Spring, Fall

    program start

  • 7 years | full time*

    estimated completion time

Where You Can Find Our Alumni

Faculty

  • Portrait of John Angus

    John Angus

    Professor of Mathematics
    Director, Institute of Mathematical Sciences

    Research Interests

    Probability, Statistics, Computing, Algorithms, Navigation, Systems Engineering, Mathematical Finance

  • Portrait of Marina Chugunova

    Marina Chugunova

    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

  • Portrait of Hrushikesh Mhsakar

    Hrushikesh Mhaskar

    Research Professor of Mathematics

    Research Interests

    Approximation theory, Computational harmonic analysis, Machine learning, Signal processing

  • Portrait of Ali Nadim

    Ali Nadim

    Professor of Mathematics

    Research Interests

    Fluid Dynamics, Mathematical Modeling, Scientific Computing

  • Portrait of Andrew Nguyen

    Andrew Nguyen

    Adjunct Professor of Mathematics

    Research Interests

    Stochastic processes, Statistics, Risk management, Financial derivatives, Actuarial sciences, Statistical software

  • Portrait of Qidi Peng

    Qidi Peng

    Research Associate Professor of Mathematics

    Research Interests

    Statistical inferences, Stochastic differential equations, Stochastic modeling, Simulation, Machine learning, Approximation theory, Graph theory

  • Portrait of Allon Percus

    Allon Percus

    Joseph H. Pengilly Professor of Mathematics

    Research Interests

    Discrete optimization; Network models; Statistical physics; Random combinatorial structures

  • Portrait of Claudia Rangel

    Claudia Rangel-Escareño

    Adjunct Professor of Mathematics

    Research Interests

    Probabilistic methods in computational biology, Statistical inference of genetic networks, Bioinformatics

  • Portrait of Henry Schellhorn

    Henry Schellhorn

    Professor of Mathematics
    Academic Director, Financial Engineering Program

    Research Interests

    Financial engineering, Credit risk, Stochastic analysis, Traffic models

Extended Faculty

  • Bahar Acu

    Pitzer College

    Research Interests

    Geometric topology, differential geometry

  • Konrad Aguilar

    Pomona College

    Research Interests

    Noncommutative/quantum metric geometry, functional analysis, operator algebras

  • Asuman G. Aksoy

    Claremont McKenna College

    Research Interests

    Analysis

  • David Bachman

    Pitzer College

    Research Interests

    Low-dimensional topology

  • Arthur Benjamin

    Harvey Mudd College

    Research Interests

    Combinatorics, game theory, operations research

  • Andrew Bernoff

    Harvey Mudd College

    Research Interests

    Applied dynamical systems, fluid mechanics, self-similarity and scaling

  • Sarah Cannon

    Claremont McKenna College

    Research Interests

    Randomized algorithms, Markov chains, stochastic processes, discrete geometry, statistical physics

  • Alfonso Castro

    Harvey Mudd College

    Research Interests

    Partial differential equations, variational methods, inverse-function theorems, water waves (solitons)

  • Anie Chaderjian

    Scripps College

    Research Interests

    Combinatorics

  • Gabriel Chandler

    Pomona College

    Research Interests

    Statistics

  • Lisette G. de Pillis

    Harvey Mudd College

    Research Interests

    Computational fluid dynamics, numerical linear algebra, mathematical biology

  • Vin de Silva

    Pomona College

    Research Interests

    Computational topology, manifold learning

  • Christina Edholm

    Scripps College

    Research Interests

    Mathematical biology, epidemiological modeling

  • Lenny Fukshansky

    Claremont McKenna College

    Research Interests

    Number theory, discrete geometry

  • Stephan Garcia

    Pomona College

    Research Interests

    Complex symmetric operators, operator theory, complex function theory

  • Edray Goins

    Pomona College

    Research Interests

    Algebraic geometry, number theory, representation theory

  • Weiqing Gu

    Harvey Mudd College

    Research Interests

    Differential geometry, Grassman manifolds

  • Jamie Haddock

    Harvey Mudd College

    Research Interests

    Mathematical data science, optimization, applied convex geometry

  • Johanna Hardin

    Pomona College

    Research Interests

    Model-based clustering, outlier detection, robust clustering, analysis of microarray data

  • Mark Huber

    Claremont McKenna College

    Research Interests

    Computational probability

  • Mike Izbicki

    Claremont McKenna College

    Research Interests

    Machine learning, high-dimensional probability, computational geometry

  • Jon Jacobsen

    Harvey Mudd College

    Research Interests

    Nonlinear elliptic partial differential equations, fluid dynamics

  • Chiu-Yen Kao

    Claremont McKenna College

    Research Interests

    Numerical analysis and scientific computing

  • Gizem Karaali

    Pomona College

    Research Interests

    Lie & Hopf algebras, quantum groups, Poisson-Lie structures, combinatorial representation theory

  • Dagan Karp

    Harvey Mudd College

    Research Interests

    Algebraic geometry

  • Adam Landsberg

    Joint Science

    Research Interests

    Scientific modeling of complex systems

  • Ran Libeskind-Hadas

    Claremont McKenna College

    Research Interests

    Computational biology, cophylogenetics, design and analysis of algorithms

  • Haydee Lindo

    Harvey Mudd College

    Research Interests

    Commutative algebra, homological algebra, representation theory

  • Jemma Lorenat

    Pitzer College

    Research Interests

    History of mathematics, geometry

  • Susan Martonosi

    Harvey Mudd College

    Research Interests

    Operations research, applied probability, aviation security

  • John Milton

    Joint Science

    Research Interests

    Computational neuroscience

  • Sam Nelson

    Claremont McKenna College

    Research Interests

    Algebraic topology, knot theory

  • Mohamed Omar

    Harvey Mudd College

    Research Interests

    Combinatorial optimization, graph theory, algebraic geometry

  • Mike O’Neill

    Claremont McKenna College

    Research Interests

    Complex analysis and harmonic analysis

  • Michael Orrison

    Harvey Mudd College

    Research Interests

    Harmonic analysis on finite groups, algebraic voting theory

  • Winston Ou

    Scripps College

    Research Interests

    Harmonic analysis

  • Jeho Park

    Claremont McKenna College

    Research Interests

    High-performance computing, data science

  • Ami Radunskaya

    Pomona College

    Research Interests

    Dynamical Systems, stochastic processes, applications of dynamical systems to instrument modeling, sound generation, and interactive composition

  • Animesh Ray

    Keck Graduate Institute

    Research Interests

    Genomics, computational and systems biology

  • Adolfo Rumbos

    Pomona College

    Research Interests

    Nonlinear analysis, differential equations

  • Ghassan Sarkis

    Pomona College

    Research Interests

    Number theory and commutative algebra, p-adic formal group

  • Shahriar Shahriari

    Pomona College

    Research Interests

    Combinatorics, representation theory of finite groups

  • James Sterling

    Keck Graduate Institute

    Research Interests

    Bioengineering, microfluidics

  • Francis Su

    Harvey Mudd College

    Research Interests

    Geometric and topological combinatorics, game theory, mathematical economics

  • Chris Towse

    Scripps College

    Research Interests

    Arithmetic geometry, algebraic number theory, combinatorics

  • Talithia Williams

    Harvey Mudd College

    Research Interests

    Spatial-temporal modeling of rainfall data

  • Helen Wong

    Claremont McKenna College

    Research Interests

    Low-dimensional topology, applications to molecular biology, data analysis, and quantum computation

  • Darryl Yong

    Harvey Mudd College

    Research Interests

    Mathematics education, applied mathematics, perturbation theory, partial differential equations

  • Heather Zinn Brooks

    Harvey Mudd College

    Research Interests

    Applied mathematics, mathematical modeling, complex systems, nonlinear dynamics, network theory, social systems, mathematical biology

Affiliated Faculty

Curriculum

View All Mathematics Courses

Degree Requirements
A minimum of 72 units of course work, independent study, and research (including transfer credit) must be completed.

  • Transfer credits of up to 24 units of related courses at the master’s level is permissible on approval of the program committee; this course work must have been completed with at least a grade of B or its equivalent at an accredited institution and must be directly related to the joint program and to the student’s PhD goals.
  • Of the 72 units, a minimum of 24 units must normally be completed in the graduate engineering program at CSULB and a minimum of 24 in the graduate mathematics program at CGU. Both sets of 24 units must conform to the area requirements of the relevant institution and must be approved by the Program Committee.
  • All degree requirements must be completed within seven years (or six with the transfer of 24 units according to CGU regulations) from the time a student begins graduate study.

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.

Application Guidelines

Requirements Summary

Item Description
Application Fee $80
Official Transcripts Yes
Letters of Recommendation 2
Statement of Purpose Yes
Resume Yes
Standardized Test Scores GRE

Please see the application checklist for more details.
 

In order to be considered for admission, applicants must submit separate and complete applications to both Cal State Long Beach and Claremont Graduate University.

You can also visit the Cal State Long Beach program page for program information and faculty listings.

Spring 2024
Priority Deadline – November 1, 2023
Final Deadline (International) – November 15, 2023
Final Deadline (Domestic) – December 1, 2023
Classes begin – January 16, 2024

Fall 2024
Priority Deadline – February 1, 2024
Final Deadline (International) – July 5, 2024
Final Deadline (Domestic) – August 1, 2024
Classes begin – August 26, 2024



Application Checklist




Cost & Aid

ESTIMATED TUITION (CALIFORNIA RESIDENTS, NON-RESIDENTS, INTERNATIONAL)
Program 72 units
Tuition per unit* $2,020

*Based on 2023-2024 tuition rates.

 

STUDENT FEES (PER SEMESTER)
$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 2022-2023 .

Review General Costs

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Resources

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:

  • Optimizing Transmission of Renewable Energy–Southern California Edison
  • Hardware-Software Codesign–Los Alamos National Laboratory
  • Data Cohort Analysis–Fair Isaac
  • Optimizing Smart Power Grids–Los Alamos National Laboratory
  • Credit Risk in a Network Economy–Fitch Rating
  • Isogeometric Analysis–Boeing
  • Gate to Base Capacitance Modeling for Nanoscale MOSFETs–USC Information Sciences Institute
  • Practical Semi-Analytic Model for the Substrate Current of Short Channel MOSFETs with LDDs–USC Information Sciences Institute

Learn More

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:

  • Southern California Analysis Seminar
  • Math-in-Industry Workshop
  • Michael E. Moody Lecture Series
  • History and Philosophy of Mathematics Seminar
  • Claremont Mathematics Weekend
  • CCMS Software Lab
  • and more

Learn More

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