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Engineering & Computational Mathematics

PhD in Engineering & Computational Mathematics

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Affiliated Institutes

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:

Program Details

Program at a Glance

UNITS
72 units

ESTIMATED COMPLETION TIME
7 years maximum

LOCATION
Claremont, CA | Long Beach, CA

COURSES BEGIN
Fall | Spring

AFFLILIATE
CSULB Engineering

DEGREE AWARDED
PhD in Engineering & Computational 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 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.

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

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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

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Faculty & Research

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
Bahar Acu
David Bachman
Jemma Lorenat

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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