Whether you’re well into your engineering career or just beginning, the joint PhD in Engineering & Industrial Applied 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 & Industrial Applied 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 Details

Program at a Glance

UNITS
72 units

COMPLETION TIME
7 years maximum

LOCATION
Claremont, CA | Long Beach, CA

COURSES BEGIN
Fall | Spring

AFFLILIATE
CSULB Engineering

DEGREE AWARDED
PhD in Engineering & Industrial Applied Mathematics

Featured Courses

EE 509
Network Theory (CSULB)

Examines network classifications and study of non-linear circuits; analysis of linear networks using topological and state-space techniques; and characterization of networks using scattering and other parameters.

MATH 294
Methods of Applied Mathematics

Studies derivation of classical equations of applied math including quasilinear hyperbolic equations, Laplace, Poisson and Helmholtz equations, among others, in various orthogonal curvilinear coordinate systems.

EE 505
Advanced Systems Engineering (CSULB)

Explores modeling and analysis, design of deterministic and stochastic systems, and the building blocks of engineering optimization models.

View All CGU Mathematics Courses

Curriculum

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 shall consist of four examination areas: two in engineering and two in mathematics. In each area there will be a three-hour examination.

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.

Resources

Engineering & Industrial Applied Mathematics Clinic
CGU’s internationally recognized Engineering & Industrial Applied 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

Faculty & Research
  • John Angus profile image

    John Angus

    Professor of Mathematics

    Research Interests

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

  • Marina Chugunova profile image

    Marina Chugunova

    Associate Professor of Mathematics
    Director, Institute of Mathematical Sciences
    Program Director, PhD in Engineering & Industrial Applied 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

  • Ellis Cumberbatch profile image

    Ellis Cumberbatch

    Professor of Mathematics Emeritus

    Research Interests

    Applied mathematics, Industrial modeling, Differential equations, Fluid mechanics, Wave propagation, Semi-conductors

  • Hrushikesh Mhaskar profile image

    Hrushikesh Mhaskar

    Research Professor of Mathematics

    Research Interests

    Approximation theory, Computational harmonic analysis, Mathematics of data, Query processing

  • Ali Nadim profile image

    Ali Nadim

    Professor of Mathematics
    Joseph H. Pengilly Chair in Mathematics

    Research Interests

    Fluid Dynamics, Mathematical Modeling, Scientific Computing

  • Andrew Nguyen profile image

    Andrew Nguyen

    Adjunct Professor of Mathematics

    Research Interests

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

  • Qidi Peng profile image

    Qidi Peng

    Research Assistant Professor of Mathematics

    Research Interests

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

  • Allon Percus profile image

    Allon Percus

    Professor of Mathematics

    Research Interests

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

  • Claudia Rangel-Escareño profile image

    Claudia Rangel-Escareño

    Adjunct Professor of Mathematics

    Research Interests

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

  • Henry Schellhorn profile image

    Henry Schellhorn

    Associate Professor of Mathematics
    Academic Director, Financial Engineering Program

    Research Interests

    Financial engineering, Credit risk, Interest rate models

Extended Faculty

In addition to CGU core faculty, you will have access to Math faculty across the Claremont Colleges, including Pomona, Scripps, Harvey Mudd, Claremont McKenna, Pitzer, and Keck Graduate Institute, as well as faculty who are part of the W.M. Keck integrated science department.

View Full Faculty List

Harvey Mudd
View Math Faculty

Pomona
View Math Faculty

Claremont McKenna
View Math Faculty

Scripps
View Math Faculty

Pitzer
David Bachman
Jim Hoste

W.M. Keck Integrated Science Department
(Claremont McKenna, Pitzer, Scripps)
Adam Landsberg
John Milton

Keck Graduate Institute
Animesh Ray
James Sterling

Where You Can Find Our Alumni

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Senior Assistant Director of Admissions and Veteran Outreach
T: 909-607-3024 (Direct)
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E: jake.campbell@cgu.edu