Princeton MAE Graduate Program Guide 2026

Princeton MAE Graduate Program Overview

Princeton University’s Department of Mechanical and Aerospace Engineering stands among the most prestigious engineering graduate programs in the United States, consistently ranked in the top tier by U.S. News & World Report. The department offers three distinct graduate pathways — the Doctor of Philosophy (PhD), the Master of Science in Engineering (MSE), and the Master of Engineering (MEng) — each carefully structured to serve different career aspirations and academic goals.

At the heart of Princeton MAE’s educational philosophy lies a commitment to developing well-rounded engineers who excel in disciplinary fundamentals, mathematical reasoning, and interdisciplinary collaboration. The department emphasizes not only technical mastery but also the development of communication skills, professional identity, and the ability to navigate increasingly complex research landscapes. Graduate students benefit from close collaboration with faculty advisors, access to world-class research facilities, and a supportive community within the Engineering Quadrangle (EQuad).

Whether you are pursuing a career in academic research, advanced industry roles, or professional engineering leadership, Princeton MAE provides a rigorous and comprehensive graduate education. The program draws from six core research disciplines and numerous cross-listed courses from departments including Astrophysical Sciences, Electrical Engineering, and Chemical and Biological Engineering, reflecting the deeply interdisciplinary nature of modern mechanical and aerospace engineering. For students exploring similar top-tier programs, our guides to Princeton Chemical and Biological Engineering and other university program guides offer additional insights.

PhD Program Structure and Requirements

The Princeton MAE PhD program is an intensive five-year journey designed to prepare students for careers in independent research and academic leadership. The program combines rigorous coursework, original research, teaching experience, and professional development into a cohesive educational experience that produces scholars capable of pushing the boundaries of engineering knowledge.

PhD candidates must complete at least eight courses before the General Examination, with two of these courses in mathematics. MAE 501 (Mathematical Methods of Engineering Analysis I) is mandatory for all PhD students, covering functional analysis, linear spaces and operators, ordinary differential equation theory, Green’s functions, and the calculus of variations. The default second mathematics course is MAE 502, though pre-approved alternatives include ORF 523 (Convex and Conic Optimization), ORF 524 (Statistical Theory and Methods), and ELE 535 (Machine Learning and Pattern Recognition).

Students typically complete at least seven courses during their first year, with four commonly taken in the first semester. A minimum GPA of 3.0 (B average) must be maintained across all coursework, and all eight pre-generals courses must be taken for a letter grade. Beyond coursework, PhD candidates must complete EGR 501, a half-semester course on the Responsible Conduct of Research, during their second year.

The teaching requirement is a distinctive feature of Princeton’s PhD program: candidates must serve a minimum of three semesters as an Assistant-in-Instruction (AI), typically completed after passing the General Examination. Teaching responsibilities include lecturing, leading precepts, supervising laboratory sessions, grading assignments, and preparing course materials — providing invaluable skills for future academic careers.

The culmination of the PhD is the doctoral dissertation, which must demonstrate original contributions to knowledge. Princeton maintains exceptionally high standards: dissertations must have a single author, cannot consist of a simple collection of published papers, and must contain material of publishable quality that discloses new principles, enlarges existing knowledge, or presents significant new interpretations.

MSE and MEng Degree Pathways

For students seeking advanced engineering education without the full commitment of a doctoral program, Princeton MAE offers two master’s-level options, each carefully designed to serve distinct professional objectives.

The Master of Science in Engineering (MSE) is a two-year program that combines coursework with original research. MSE candidates must complete a minimum of eight courses selected in consultation with a faculty advisor, maintain at least one year of residence at Princeton, achieve a “C” average or better across all coursework, and produce an acceptable original thesis under faculty supervision. The thesis requirement distinguishes the MSE from purely coursework-based degrees, allowing students to demonstrate genuine research capability and contribute to their field’s body of knowledge.

The Master of Engineering (MEng) is a one-year, coursework-only program designed for working professionals and engineers looking to deepen their fundamental understanding or broaden their technical expertise. MEng candidates must complete eight graduate courses within a single academic year, with six courses being technical and no more than two being independent projects. At least four technical courses must come from within the MAE department. A 3.0 GPA is required, with no more than one “C” grade counting toward the eight-course requirement. The MEng pathway is particularly valuable for engineers seeking to pivot into new specializations or advance into leadership roles requiring broader technical knowledge.

It is important to note that program transfers are limited: PhD students in good standing may transfer to the MSE program, but transfers from master’s tracks into the PhD program or from MSE/PhD into MEng are generally not permitted. Students who do not pass the PhD General Examination after two attempts may complete an MSE thesis and degree instead.

Research Areas and Specializations

Princeton MAE organizes its graduate research and teaching around six core disciplines, each representing a vibrant area of investigation where faculty and students push the frontiers of engineering science.

Applied Physics encompasses optics and lasers, plasma physics, physics of gases, quantum mechanics applications to spectroscopy, and plasma propulsion. Foundational courses include MAE 521 (Optics and Lasers) and MAE 527 (Physics of Gases), providing students with deep knowledge of the physical phenomena underlying advanced engineering systems.

Biomechanics and Biomaterials spans biomechanics and biophysics, biomaterials and tissue engineering, biomedical device design, collective behaviors and swarm dynamics, and the emerging field of bio-inspired engineering for microscale devices. This discipline bridges engineering and the life sciences, preparing graduates for careers in biomedical technology and healthcare innovation.

Control, Robotics, and Dynamical Systems covers automatic and modern control systems, applied dynamical systems, advanced dynamics, orbital mechanics, nonlinear and optimal control, estimation theory, linear and nonlinear system theory, and robotics. Research in this area drives advances in autonomous vehicles, spacecraft navigation, and intelligent robotic systems.

Fluid Mechanics includes compressible and incompressible flows, viscous flows and boundary layers, turbulent flow, non-equilibrium gas dynamics, computational fluid dynamics, geophysical fluid dynamics, and flow instabilities. Princeton’s fluid mechanics group has a storied history of seminal contributions to the field.

Materials Sciences covers phase transformations, fracture mechanics, structural and energy storage materials, nanotechnology, and advanced characterization techniques including synchrotron and neutron methods. This discipline prepares students to develop the next generation of engineering materials.

Propulsion and Energy Sciences encompasses combustion theory, turbulent reacting flows, and energy-environment intersections. Research in this area is critical for developing cleaner energy systems and more efficient propulsion technologies, with direct relevance to Princeton’s broader energy research initiatives.

Faculty Excellence and Mentorship

Princeton MAE’s faculty roster reads like a who’s-who of mechanical and aerospace engineering scholarship. The department is chaired by Howard Stone, a member of the National Academy of Engineering and recipient of numerous fluid mechanics awards. The faculty includes distinguished researchers across all six disciplines, with professors like Chung K. Law (combustion science), Naomi E. Leonard (cooperative control and robotics), and Edgar Choueiri (plasma propulsion) leading internationally recognized research groups.

The department maintains a healthy balance of senior and junior faculty, with accomplished professors providing stability and emerging assistant professors like Anirudha Majumdar (robotics and machine learning), Kelsey Hatzell (energy storage materials), and Luc Deike (environmental fluid mechanics) bringing fresh perspectives and cutting-edge research directions.

A notable feature of Princeton MAE is its Emeritus Faculty in Residence program, which keeps legendary scholars like Philip J. Holmes (dynamical systems), Alexander Smits (turbulence), and Robert Socolow (climate and energy) actively engaged with the department. Graduate students benefit from access to these scholars’ decades of accumulated wisdom alongside active research collaboration with current faculty.

The mentorship structure is highly structured: each PhD student works with a three-member committee consisting of the research advisor and two additional faculty members, including at least one MAE professor. Annual committee meetings with research presentations ensure ongoing guidance, while the Director of Graduate Studies provides additional oversight and support. This layered mentorship approach helps ensure that every student receives personalized attention throughout their graduate career.

Admission Requirements and English Proficiency

Admission to Princeton MAE’s graduate programs is highly competitive, reflecting the department’s position among the world’s top engineering programs. Applicants are accepted as PhD, MSE, or MEng candidates based on their stated interests on the application form, and the selection process evaluates academic excellence, research potential, and alignment with department strengths.

Princeton places particular emphasis on English language proficiency for international students. Non-native English speakers who have not earned an undergraduate degree from a U.S. institution and who scored below 27 on the TOEFL iBT Speaking sub-section or below 8.0 on the IELTS Speaking sub-section must have their oral English proficiency evaluated upon arrival. Students must pass either a placement test or the Princeton Oral Proficiency Test (POPT).

The English proficiency requirement carries significant consequences for PhD students: those who do not pass the POPT before the end of their first year cannot stand for the General Examination, serve as an Assistant-in-Instruction, or be reenrolled as a PhD student — though they may be reenrolled as an MSE candidate. This strict policy underscores Princeton’s commitment to ensuring all PhD graduates can effectively communicate their research and teach undergraduate courses.

All PhD and MSE students must apply formally for annual reenrollment, requiring written support from their research advisor and PhD committee. PhD students must maintain a 3.0 average for reenrollment, while MSE students must maintain a 2.0 average. This annual review process ensures continuous academic progress and provides structured checkpoints for both students and faculty. For those comparing admissions across Ivy League engineering programs, our university guides collection covers additional programs.

Financial Support and Fellowships

Princeton MAE provides generous financial support to graduate students through a variety of department prizes, fellowships, and research assistantships. This commitment to funding reflects Princeton’s broader institutional philosophy of removing financial barriers to graduate education.

The Sayre Graduate Prize is awarded each September to outstanding students who have just completed their first year, recognizing early academic excellence and research promise. For exemplary second-year students, the department offers the Daniel and Florence Guggenheim Foundation Fellowship, the Howard Crathorne Phillips Graduate Fellowship, and the Martin Summerfield Graduate Fellowship, each covering all or part of tuition and stipend costs.

Advanced students benefit from the Brit and Eli Harari Post Generals Fellowship, awarded to an international student demonstrating excellence in academics and research after passing the General Examination. The Luigi Crocco Prize recognizes an outstanding Assistant-in-Instruction from the prior year with a cash award, while the Larisse Rosentweig Klein Prize specifically honors a female student in her third year or beyond who shows exemplary research capability — reflecting the department’s commitment to supporting underrepresented groups in engineering.

The Graduate School also offers Honorific Fellowships, for which the department nominates two top students entering their final dissertation year annually. Additionally, students holding research assistantships receive funding through faculty-led research programs, with their advisor serving as a direct mentor and supervisor. The department strongly encourages students to pursue external fellowship opportunities, and the Graduate School provides comprehensive guidance on identifying and applying for outside funding.

Curriculum and Course Highlights

Princeton MAE’s graduate curriculum is notable for both its rigor and its breadth. The mathematics foundation is anchored by MAE 501, covering functional analysis, linear spaces, operator theory, ordinary differential equations, Green’s functions, and calculus of variations. MAE 502 extends this foundation with complex variables, Fourier series, measure theory, Hilbert and Banach spaces, and spectral properties of linear operators. Together, these courses ensure that all graduate students possess the mathematical sophistication required for advanced engineering research.

Students are expected to be conversant in five major applied mathematics areas for the General Examination: Differential Equations, Linear Analysis, Advanced Calculus, Fourier Analysis, and Numerical Analysis. This breadth requirement ensures that Princeton MAE graduates can operate fluently across the mathematical landscape that underlies modern engineering science.

Beyond core mathematics, the department offers a rich selection of specialized courses. Notable offerings include MAE 550 (Lessons from Biology for Engineering Tiny Devices), which explores bio-inspired approaches to micro-scale engineering; MAE 567 (Crowd Control: Understanding and Manipulating Collective Behaviors and Swarm Dynamics), which bridges robotics and biology; and MAE 574 (Unmaking the Bomb), an interdisciplinary course examining nuclear nonproliferation. MAE 571 (Inspiring Young Engineers through Outreach) provides unique training in engineering education and community engagement.

The curriculum also benefits from extensive cross-listing with other Princeton departments. Students can take courses in Astrophysical Sciences, Electrical Engineering, Chemical and Biological Engineering, Civil and Environmental Engineering, Chemistry, Materials Science, Physics, and Operations Research and Financial Engineering. Several undergraduate courses are pre-approved for graduate credit, including CBE 415 (Polymers), EGR 491 (High Tech Entrepreneurship), and MAE 433/434 (Control Systems), providing flexibility for students seeking to round out their technical profiles.

The General Examination Milestone

The General Examination represents the most critical milestone in the Princeton MAE PhD journey. Typically taken in January of the second year, this comprehensive evaluation determines whether a student possesses the knowledge, creativity, and research potential to continue toward the doctoral dissertation.

The examination consists of two distinct components. The research component is a 30-minute public presentation of the student’s research accomplishments and future plans, followed by an open question-and-answer session attended by the department community. This component tests the student’s ability to articulate complex research in a clear and compelling manner — a critical skill for any academic or research career.

The subject component is a 90-minute closed oral examination conducted by the PhD committee. This rigorous assessment measures the student’s knowledge of engineering fundamentals, ability to integrate material across different courses, and creative potential for PhD-level research. The examination also serves as a powerful motivational tool, requiring students to review and synthesize all coursework and research material from their first year.

Preparation for the General Examination is highly structured at Princeton. Approximately two months before the exam, students meet with their full PhD committee in a Pre-Generals Committee Meeting to receive feedback on research direction and agree on examination topics. Students are also encouraged to engage in Pre-Generals Interviews — in-depth oral discussions with faculty members on the examination committee — designed to explore subject knowledge and identify areas for further study. These preparatory mechanisms are distinctive to Princeton and significantly increase student readiness.

Students who pass the General Examination are automatically eligible for a Master of Arts (MA) degree, providing a formal credential even before completing the dissertation. Those who fail are given a second attempt, but failing twice typically results in the option to complete an MSE thesis and degree instead. The stakes are high, but Princeton’s structured preparation process ensures that well-prepared students can approach the exam with confidence.

Student Life and Campus Resources

Graduate life at Princeton MAE extends far beyond the laboratory and classroom. The department maintains a Graduate Student Committee with elected representatives from each year, providing a formal channel for student input on departmental policies and procedures. The Faculty Graduate Committee regularly solicits student opinions, and a structured meeting between the Student Committee and the Director of Graduate Studies occurs each term — ensuring that student voices are heard in departmental governance.

Princeton MAE has also established a dedicated Climate and Inclusion Committee seeking to enhance departmental culture and ensure inclusion, with graduate student representation. This institutional commitment to equity and belonging reflects broader efforts across Princeton University’s diversity and inclusion initiatives.

Practical support for graduate students is comprehensive. First-year students receive assigned office desk space within the Engineering Quadrangle, a mailbox in the MAE mailroom, and access to laboratory facilities through the Department Office. The university provides extensive campus support including Public Safety, Counseling and Psychological Services (with a separate emergency line), the Davis International Center, Graduate Housing Office, LGBT Center, Office of Disability Services, an independent Ombud’s Office, SHARE counselors for sexual harassment and assault support, University Health Services, and the Women’s Center.

Graduate students are entitled to up to four weeks of vacation per academic year, including university holidays and recesses. While this vacation policy is generous, students are expected to coordinate with their advisors and ensure that time away does not conflict with academic responsibilities. Travel support for conferences and research activities is facilitated through the university’s Concur system, with the department providing guidance on booking, reimbursement procedures, and compliance with federal regulations like the Fly America Act.

The unique program MAE 503 (Directed Research) deserves special mention as a student life feature: first-year students who are uncertain about their research direction can use this one-semester independent study to explore research possibilities, culminating in a conference-style presentation. This structured exploration period helps students make informed decisions about their doctoral research trajectory without the pressure of committing to a specific area prematurely. Combined with early-semester Research Seminar Day and Faculty Research Lunch Seminars, Princeton MAE ensures that incoming students have every opportunity to find the right research fit.