In-Person

  • Admission Requirements

    Students entering a medical physics graduate educational program shall have a strong foundation in basic physics. This shall be demonstrated either by an undergraduate degree in physics, or by a degree in an engineering discipline, or another of the physical sciences, and a minimum of three fundamental upper-level physics courses taught through a physics department. Examples of fundamental physics courses include, but are not limited to: classical mechanics, modern physics, quantum mechanics, electromagnetism, statistical physics, thermodynamics, optics, nuclear/particle physics, and astrophysics. GRE exam scores are not required. A list of the qualified courses offered by Columbia University is available here. The Physics GRE is recommended. Proficiency in written and spoken English and a working knowledge of computer programming, probability, and statistics are also required.

  • Application

    The priority deadline for applications for full-time study is February 15. Applications received by June 30 will be considered on a space-available basis. For more information, please see Graduate Admissions. Applicants are asked to inform the Medical Program Coordinator at [email protected] following the submission of an online application.

  • Financial Aid

    As a rule, assistantships, grants, scholarships, and fellowships are not available to students in master's degree programs, including the medical physics program. U.S. citizens and permanent residents may be eligible to receive federal student loans. Please see the FAQ for additional information.

  • Core Curriculum

    The Program consists of a core curriculum of medical and nuclear physics courses, a laboratory course, anatomy, two practicums, a tutorial, one elective, and a seminar. Specific course requirements are:

    Opportunities for specialization exist via the choice of elective courses and practicums. In addition, a fourth semester option exists.

  • Comprehensive Exam

    A passing grade on a medical physics comprehensive examination is required for graduation with a Master of Science degree in Medical Physics. This closed-book written exam is offered twice a year, in December and May, following the last semester of studies and consists of 6 questions covering the required course work taken during the program.

  • Other Requirements

    In order to be allowed to participate in a practicum at the New York Presbyterian Hospital at the Columbia University Medical Center, students in the Columbia Medical Physics Program must complete an on-line course that leads to HIPAA compliance certification. They must also comply with hospital-mandated medical surveillance, which includes drug screening:  http://www.cumc.columbia.edu/hr/policies-procedures/medical-surveillance

    Successful completion of two online ethics courses, offered without charge to students enrolled in our Program, is required for graduation.

  • Admissions and Placement Statistics

    Explore annual application, enrollment, graduation, and placement results for the Medical Physics MS and Certificate programs—including residency, advanced degree programs, industry, and clinical position outcomes.

Specific Program Requirements

  • Medical Physics MS Program

    Full-Time Curriculum

    The following courses are required for the full-time program.

    (Schedule subject to change)

    First Fall Courses

    • APPH E4010: Introduction to nuclear science (3 pts)
    • APPH E4600: Fundamentals of radiological physics & radiation dosimetry (3 pts)
    • APPH E4710: Radiation instrumentation lab, I (3pts)
    • APBM E4650: Anatomy for physicists & engineers (3 pts)

    Spring Courses

    Summer Courses

    • Subject to availability: summer practicum(s) for which students will register in the Fall term

    Second Fall Courses

    • APPH E4330: Radiobiology for medical physicists (3 pts)
    • Varies: Practicum (see below) (6 pts)
    • Varies: Elective (see below) (3 pts)

    Practicums (2 required)

    A grade of B+ or better in the prerequisite course, adjusted at the discretion of the instructor, and permission of instructor and advisor are required for each practicum. Students register for the practicum in the Fall or the Spring term; the work for 2 of the 4 praticums may be done in the Summer term.

    Electives (3 pts. required)

    • APPH E4711: Radiation instrumentation lab, II (3 pts)
    • APPH E6336: Advanced topics in radiation therapy (3 pts)
    • APAM E6650: Research project (1-6 pts)
    • APPH numbers vary: Third Practicum (3 pts) 

    Optional Course

  • Certificate of Professional Achievement in Medical Physics

    Our CAMPEP-accredited Certificate of Professional Achievement in Medical Physics is designed for professionals who have a PhD in physics or a related discipline and who wish to become eligible to apply for the medical physics examinations given by the American Board of Radiology (ABR).

    As stated on the ABR website, to be eligible for Part 1 of the ABR Examination, applicants "must be enrolled in and in good standing with, or have graduated from, a CAMPEP-accredited program," which specifically includes CAMPEP-accredited certificate programs like Columbia's.

    Furthermore, prior to taking Part 2 of the ABR Examination, applicants are required to have completed a two-year residency in medical physics which consists of a clinical and an academic component. By successfully completing Columbia’s non-degree certificate program an applicant will have satisfied the academic component already.

    Course Requirements

    This part-time program requires satisfactory completion of six of the following courses:

    Certificate students are allowed to waive a course based on prior equivalent academic work but another 3-point course must be substituted for the waived course.

    Admission

    Doctoral degree in physics, applied physics, or one of the physical sciences is required. An applicant who was not a physics major as an undergraduate, or who does not have an advanced degree in physics, must have taken physics training at least equivalent to a minor. This training must include at least three upper level physics courses, which, if taken after completion of the undergraduate degree, must have been taken at an accredited four-year college. Completion of course prerequisites is also required.

    When appropriate, certificate program requirements are updated to conform to guidelines set by CAMPEP and by policies set by the ABR.

    • The application deadline for fall admission is August 1.
    • Applications are available online at: Graduate Admissions
    • On the "Applied Physics and Applied Mathematics" drop down menu, follow the instructions for NEW APPLICANT. Under degree level, please select "OTHER" and under program level select "MEDICAL PHYSICS CERTIFICATE."
    • Applicants are asked to inform the Program Coordinator at [email protected] following the submission of an online application.

    Because Columbia's online application system is usually changed in July from the current admissions cycle to the next one, applicants for the Certificate Program who apply in July, must contact the Medical Physics Program Coordinator at [email protected].

    The CAMPEP-accredited Certificate of Professional Achievement in Medical Physics is a part-time program that does not support visa applications and is exclusively available to U.S. citizens and residents. Our program does not offer any financial support.

Medical Physics

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/physics-math/academics/medical-physics/faculty
/physics-math/academics/medical-physics/faq
  • Undergraduate Labs

    The undergraduate wet-lab teaching facility is located on the third floor of Engineering Terrace and provides a state-of-the-art, hands-on teaching facility. Some laboratory exercises will also take place within the premises of the university’s affiliated hospitals.

  • Electives

    The undergraduate program in Biomedical Engineering is accredited by the Engineering Accreditation Commission of ABET: http://www.abet.org.

  • Senior Design

    The Biomedical Engineering Design course is a required, two-semester capstone course for undergraduate students. Students work in a team to tackle a real-world, open-ended design project in the biomedical field.

  • Undergraduate Research

    Undergraduate students have the opportunity to get involved in cutting-edge research within the Department of Biomedical Engineering.

    Many BME labs welcome qualified undergraduates to join their research teams, either through work-study or as paid research assistants. These hands-on experiences allow students to apply classroom knowledge, explore areas of interest, and contribute to ongoing innovations in the field.

    For more information on the work-study program, please visit Student Financial Services.

  • Undergraduate Advising

    Advising in BME is centered on close interactions between students and BME faculty advisors, who provide counseling regarding the BME major, career planning, and student life. Students are assigned BME faculty advisors as soon as they enter the department.

  • Non-Department Led Research

    Research conducted outside the BME department may count for BMEN E3998 credit if approved. In this case, students must register under their BME academic advisor, who will coordinate with the external research supervisor. To qualify:

    • The project must relate to biomedical engineering and include engineering content (confirmed with a short project description).
    • The external supervisor must confirm via email:
      • The student is not being paid.
      • The work is being done for credit.
      • 1 credit = 5 hours/week commitment (up to 3 credits per semester).
      • The student will receive a letter grade.
      • Assessment methods (e.g., final paper, presentation, or poster).
  • Summer Research

    BME labs offer summer research positions through internships, research assistantships, and work-study. Students can receive technical elective credit by enrolling in BMEN E3998 during the summer.

    Additionally, many BME faculty participate in Columbia’s Summer Undergraduate Research Fellowship (SURF). Qualified students are encouraged to apply.

  • Education Objectives

    The Biomedical Engineering Department at Columbia University is dedicated to preparing our graduating students for the following:

    1. Professional employment in areas such as the medical device industry, engineering consulting, biomechanics, biomedical imaging, and biotechnology
    2. Graduate studies in biomedical engineering or related fields
    3. Attendance at medical or dental school
  • Student Outcomes

    We strive to ensure that our students successfully attain the following:

    1. an ability to identify, formulate, and solve complex engineering problems by applying principles of engineering, science, and mathematics
    2. an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
    3. an ability to communicate effectively with a range of audiences
    4. an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
    5. an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
    6. an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
    7. an ability to acquire and apply new knowledge as needed, using appropriate learning strategies.
  • Undergraduate Enrollment and Graduation Data

    Graduates of our program go on to graduate studies, medical school, and employment. Students have gone onto sectors including pharmaceuticals, medical devices, diagnostics, governmental oversight organizations (FDA, NIH, OSHA, etc.), and even finance. Through the program, students can meet entrance requirements for graduate training in the various allied health professions. For instance, no more than three additional courses are required to satisfy entrance requirements for most U.S. medical schools, and can be chosen to also fulfill elective requirements for graduation.

    A statistical breakdown of each class is available below (numbers as of Fall 2023):

     201820192020202120222023
    Sophomores363540444440
    Juniors494144555357
    Seniors485240475554
    Total133128124146152151
  • Plasma Physics Graduate Specialty

    Columbia, one of the leading university centers for training in plasma physics, offers a graduate program leading to the Master of Science (MS), Master of Philosophy (MPhil), Doctor of Philosophy (PhD) and Doctor of Engineering Science (EngScD or DES) degrees. The program builds a foundation in the science and application of plasma physics and features a specialty in the high-temperature plasma physics needed for controlled fusion energy. Besides a sound basic training in relevant areas of applied physics, students develop expertise in experimental, theoretical, and computational plasma physics. This instruction provides the background needed to conduct research in Columbia University’s Plasma Research Laboratory and in other national plasma research facilities. Since its inception in 1960, the program at Columbia has granted more than 110 doctoral degrees with many of our graduates playing leading roles in all phases of plasma physics, including, in particular, the worldwide program to develop controlled fusion energy.

    Degree Requirements for Master of Science (MS) in Applied Physics

    • 30 points (usually 10 courses) of courses taken for a letter grade with a 3.0 Minimum GPA
    • There are no specific course requirements for this degree, it is tailored to the student’s interests, but will usually include at least 5 core courses with an APPH designator and additional courses with PHYS/ELEN designators or advisor-approved courses from other departments.
    • Students with an interest in Plasma Physics should take the following courses:
       
      • APPH E4018: Applied physics laboratory (2 pts)
      • APPH E4200: Physics of fluids (3 pts)
      • APPH E4300: Applied electrodynamics (3 pts)
      • APPH E6101: Plasma physics I (3 pts)
      • APPH E6102: Plasma physics II (3 pts)
      • APPH E9142 or APPH E9143, or equivalents taken at another university

    Degree Requirements for Doctor of Philosophy (PhD) in Applied Physics: Plasma Physics

    • Complete requirements for the MS with a 3.0 Minimum GPA (unless a Master’s Degree from another institution has already been earned, in which case students receive 30 points and 2 Residence Units of advanced standing) /li>
    • Complete requirements for the Master of Philosophy (MPhil) Degree
      • Written Qualifying Examination: Courses suggested for preparation at the level of the general, and solid state and optical physics parts of the written qualifying examination are listed in the qualifying examination memorandum.
      • 30 points of courses and/or research (beyond MS) taken for a letter grade with minimum 3.0 GPA: Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied to this 30 point requirement
      • 6 Residence Units: Students who have earned the MS register for 1 Residence Unit per semester not including summer
      • Oral Exam (usually Spring of 2nd year)
      • Thesis proposal (usually Spring of 3rd year)
      • Ethics requirements: Online ethics course during Fall of 1st, year, attend departmental ethics seminar during Spring of 1st and 2nd years
      • Master of Philosophy Degree awarded
    • Complete Dissertation
    • Successful Defense

    Degree Requirements for Doctor of Engineering Science (EngScD or DES) in Applied Physics: Plasma Physics

    • Complete requirements for the MS with a 3.0 Minimum GPA (unless a Master’s Degree from another institution has already been earned, in which case student receives 30 points and 2 Residence Units of advanced standing)
    • Written Qualifying Examination Courses suggested for preparation at the level of the general and plasma physics parts of the written qualifying examination are listed in the qualifying examination memorandum
    • Ethics requirement Online ethics course during Fall of 1st year, attend departmental ethics seminar during Spring of 1st and 2nd years
    • Oral Exam (usually Spring of 2nd year)
    • 30 points of courses and/or research (beyond MS taken for a letter grade with 3.0 GPA Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied toward this 30 point requirement
    • 12 points of APAM E9800: Doctoral Research Instruction
    • Thesis proposal (usually Spring of 3rd year)
    • Complete Dissertation
    • Successful Defense

    Core Courses

    • APPH E4018: Applied physics laboratory (2 pts)
    • APPH E4100: Quantum physics of matter (3 pts)
    • APPH E4112: Laser physics (3 pts)
    • APPH E4200: Physics of fluids ( 3 pts)
    • APPH E4300: Applied electrodynamics (3 pts)
    • APPH E4301: Introduction to plasma physics (3 pts)
    • APPH E6101: Plasma physics I (3 pts)
    • APPH E6102: Plasma physics II (3 pts)
    • APPH E9142-E9143: Applied physics seminar (3 pts)
    • APAM E6650: Research project (1-6 pts)
    • APMA E4200: Partial differential equations (3 pts)
    • CHEM G4230: Statistical thermodynamics (4.5 pts)
    • ELEN E6403 or PHYS G6092-G6093: Electromagnetic theory (4.5 pts)
    • PHYS G4003: Advanced mechanics (3 pts)

    Related Courses of Specialization

    • APPH E4110: Modern optics (3 pts)
    • APPH E6110: Laser interactions with matter (3 pts)
    • APPH E4010: Introduction to nuclear science (3 pts)
    • APMA E4204: Functions of a complex variable (3 pts)
    • APMA E6209: Approximation theory (3 pts)
    • APMA E6301: Analytic methods for PDE's (3 pts)
    • APMA E6302: Numerical methods for PDE's (3 pts)
    • APMA E6304: Integral transforms (3 pts)
    • APMA E6901: Special topics in applied math (3 pts)
    • APMA E8308: Asymptotic methods in applied math (3 pts)
    • ASTR G6004: Stellar structure and evolution (3 pts)
    • ASTR G4002: Astrophysics II
    • ELEN E4405: Classical nonlinear optics (3 pts)
    • ELEN E4420: Topics in electromagnetics (3 pts)
    • ELEN E4501: Electromagnetic devices and energy conversion (3 pts)
    • PHYS G4019: Mathematical methods in physics (3 pts)
    • PHYS G6036: Statistical mechanics (4.5 pts)
    • PHYS G6037-G6038: Quantum mechanics (4.5 pts)

    Plasma Physics Faculty
    Allen H. Boozer
    Gerald A. Navratil 
    Elizabeth Paul
    Carlos Paz-Soldan - AP Academic Program Coordinator
    Ben Zhu

    Research Scientists and External Advisors
    Admitted students may work with scientific advisors external to the applied physics faculty, as long as student secures funding from said faculty. Examples of other researchers or faculty external to the department include:
    Steven Sabbagh, Adjunct Professor & Research Scientist/PPPL

  • Solid State & Optical Physics Graduate Specialties

    Solid State Physics Graduate Specialty
    This graduate specialty encompasses the study of the electrical, optical, magnetic, thermal, high-pressure, and ultrafast dynamical properties of solids, with an aim to understanding them in terms of the atomic and electronic structure. The field emphasizes the formation, processing, and properties of thin films, low-dimensional structures—such as one- and two-dimensional electron gases, nanocrystals, surfaces of electronic and optoelectronic interest, and molecules. Facilities include a microelectronics laboratory, high-pressure diamond anvil cells, a molecular beam epitaxy machine, ultrahigh vacuum systems, lasers, equipment for the study of optical properties and transport on the nanoscale, and the instruments in the shared facilities overseen by the Columbia Nano Initiative. There are also significant resources for electrical and optical experimentation at low temperatures and high magnetic fields. Specific course requirements for the solid-state physics doctoral specialization are set with the academic adviser, in consultation with the Committee on Materials Science and Engineering/Solid-State Science and Engineering.

    Optical Physics Graduate Specialty
    This graduate specialty involves a basic training in relevant areas of applied physics with emphasis in quantum mechanics, quantum electronics, and related areas of specialization. Some active areas of research in which the student may concentrate are laser modification of surfaces, optical diagnostics of film processing, inelastic light scattering in nanomaterials, nonlinear optics, ultrafast optoelectronics photonic switching, optical physics of surfaces, and photon integrated circuits. Specific course requirements for the optical and laser physics doctoral specialization are set with the academic adviser.

    Degree Requirements for Master of Science (MS) in Applied Physics

    • 30 points (usually 10 courses) of courses taken for a letter grade with a 3.0 Minimum GPA
    • There are no specific course requirements for this degree, it is tailored to the student’s interests, but will usually include at least 5 core courses with an APPH designator and additional courses with PHYS/ELEN designators or advisor-approved courses from other departments.
    • Students with an interest in Solid State Physics should take the following courses:

    APPH E4018: Applied physics laboratory (2 pts)
    APPH E4112: Laser physics (3 pts)
    ELEN E4301: Introduction to semiconductor devices (3 pts)
    ELEN E6331-2: Principles of semiconductor physics I and II (3 pts)
    MSAE E4206: Electronic and magnetic properties of solids (3 pts) or their equivalent for solid state

    Students with an interest in Optical Physics should take the following courses:

    APPH E4018: Applied physics laboratory (2 pts)
    APPH E4100: Quantum physics of matter (3 pts)
    APPH E4110: Modern optics (3 pts)
    APPH E4112: Laser physics (3 pts)
    APPH E6110: Laser interactions with matter (3 pts)
    ELEN E9402: Seminar in quantum electronics (3 pts) or their equivalent for optical physics

    Degree Requirements for Doctor of Philosophy (PhD) in Applied Physics: Solid State or Optical Physics

    • Complete requirements for the MS with a 3.0 Minimum GPA 
      (unless a Master’s Degree from another institution has already been earned, in which case students receive 30 points and 2 Residence Units of advanced standing)
    • Complete requirements for the Master of Philosophy (MPhil) Degree
      • Written Qualifying Examination
        Courses suggested for preparation at the level of the general, and solid state and optical physics parts of the written qualifying examination are listed in the qualifying examination memorandum.
      • 30 points of courses and/or research (beyond MS) taken for a letter grade with minimum 3.0 GPA
        Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied to this 30 point requirement
      • 6 Residence Units - Students who have earned the MS register for 1 Residence Unit per semester not including summer
      • Oral Exam (usually Spring of 2nd year)
      • Thesis proposal (usually Spring of 3rd year)
      • Ethics requirements
        Online ethics course during Fall of 1st, year, attend departmental ethics seminar during Spring of 1st and 2nd years
      • Master of Philosophy Degree awarded
    • Complete Dissertation
    • Successful Defense

    Degree Requirements for Doctor of Engineering Science (EngScD or DES) in Applied Physics: Solid State or Optical Physics

    • Complete requirements for the MSwith a 3.0 Minimum GPA - (unless a Master’s Degree from another institution has already been earned, in which case student receives 30 points of advanced standing)
    • Written Qualifying Examination - Courses suggested for preparation at the level of the general, and solid state and optical physics parts of the written qualifying examination are listed in the qualifying examination memorandum.
    • Ethics requirement - Online ethics course during Fall of 1st year, attend departmental ethics seminar during Spring of 1st and 2nd years
    • Oral Exam (usually Spring of 2nd year)
    • 30 points of courses and/or research (beyond MS taken for a letter grade with 3.0 GPA - Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied toward this 30 point requirement
    • 12 points of APAM E9800: Doctoral Research Instruction
    • Thesis proposal (usually Spring of 3rd year)
    • Complete Dissertation
    • Successful Defense

    Core Courses

    • APPH E4018: Applied physics laboratory
    • APPH E4100: Quantum physics of matter
    • APPH E4110: Modern optics
    • APPH E4112: Laser physics
    • APPH E6081-6082: Solid state physics, I, II
    • APPH E6110: Laser interactions with matter
    • APAM E6650: Research project
    • CHAP E4120: Statistical mechanics or CHEM G4230: Statistical thermodynamics
    • ELEN E4301: Introduction to semiconductor devices
    • ELEN E4405: Classical nonlinear optics
    • ELEN E4411: Fundamentals of photonics
    • ELEN E6331-6332: Principles of semiconductor physics, I, II
    • ELEN E6403 or PHYS G6092-6093: Electromagnetic theory
    • ELEN E6412: Lightwave devices
    • ELEN E9402: Seminar in quantum electronics
    • ELEN E9403: Seminar in photonics
    • MSAE E6220: Crystal physics
    • MSAE E6241: Theory of solids
    • PHYS G4018: Physics of the solid state
    • PHYS G4019: Mathematical methods in physics
    • PHYS G6036: Statistical mechanics
    • PHYS G6037-6038: Quantum mechanics

    Related Courses of Specialization

    • APMA E4204: Functions of a complex variable
    • APMA E6301: Analytic methods for PDE's
    • APMA E6302: Numerical analysis of PDE's
    • CHEM G4230: Statistical thermodynamics
    • CHEM G4231: Chemical kinetics
    • CHEM G6222: Quantum chemistry, II
    • CHEM G8223: Quantum chemistry, III
    • ELEN E4401: Wave transmission and fiber optics
    • ELEN E4944: Principles of device microfabrication
    • ELEN E6140: Gallium arsenide materials processing
    • ELEN E6151: Surface physics and analysis of electronic materials
    • ELEN E6331-6332: Principles of semiconductor physics
    • ELEN E6413: Lightwave systems
    • ELEN E6414: Photonic integrated circuits
    • ELEN E9101: Seminar in physical electronics
    • ELEN E9402: Seminar in quantum electronics
    • ELEN E9404: Seminar in lightwave communications
    • MSAE E6090: Nanotechnology
    • MSAE E6221: Introduction to dislocation theory
    • MSAE E6225: Techniques in x-ray and neutron diffraction
    • MSAE E6229: Energy and particle beam processing of materials
    • MSAE E6230: Kinetics of phase transformations
    • MSAE E6240: Impurities and defects in semiconductor materials
    • MSAE E6251: Thin films and layers
    • MSAE E8235: Selected topics in materials science
    • MSAE E8236: Anelastic relaxations in crystals
    • PHYS G8048: Advanced quantum mechanics, II
    • PHYS G8050: Advanced mathematical methods in physics
    • PHYS G8066: Theoretical solid state physics, I

    Solid-State Physics and Optical & Laser Physics Faculty
    William E. Bailey
    Siu-Wai Chan
    Aravind Devarakonda
    Alexander Gaeta
    Oleg Gang
    James S. Im
    Chris A. Marianetti
    I.C. Noyan
    Latha Venkataraman
    Nanfang Yu
    Xueyue (Sherry) Zhang

    Multidisciplinary and External Advisors
    Admitted students may work with scientific advisors external to the applied physics faculty, as long as student secures funding from said faculty.

Advising

Have a question? Feel free to contact our Student Services Coordinator or reach out to a 1st Year Doctoral Applied Physics Advisor.

Doctoral Program

Students wishing to pursue an MS degree which continues directly into a PhD program, should apply to the MS / PhD Track Program in Materials Science and Engineering in the Department of Applied Physics and Applied Mathematics. Students who have already earned an MS degree should apply to the Doctor of Philosophy (PhD) or the Doctor of Engineering Science (EngScD or DES) degree programs. Financial aid is available for students pursuing a doctorate. Fellowships, scholarships, teaching assistantships, and graduate research assistantships are awarded on a competitive basis. 

For more information, please see the Columbia Engineering Bulletin: Materials Science and Engineering (EngScD, PhD)

  • Requirements for the PhD

    At the end of the first year of graduate study in the doctoral program, candidates are required to take a comprehensive written qualifying examination, which is designed to test the ability of the candidate to apply course work in problem solving and creative thinking. The standard is first-year graduate level. There are two four-hour examinations over a two-day period. Candidates in the program must take an oral examination within one year of taking the qualifying examination. Within two years of taking the qualifying examination, candidates must submit a written proposal and defend it orally before a Thesis Proposal Defense Committee consisting of three members of the faculty, including the adviser. Doctoral candidates must submit a thesis to be defended before a Dissertation Defense Committee consisting of five faculty members, including two professors from outside the doctoral program. Requirements for the EngScD (administered by the School of Engineering and Applied Science) and the PhD (administered by the Graduate School of Arts and Sciences) are listed elsewhere in the SEAS bulletin.

    • Complete requirements for the MS with a 3.0 Minimum GPA
      (unless a Master’s Degree from another institution has already been earned, in which case students receive 30 points and 2 Residence Units of advanced standing)
    • PhD candidates are strongly encouraged to complete ENGI E6001–6004 and should consult their program for Professional Development and Leadership Course, ENGI E4000, as a graduation requirement.
    • Complete requirements for the Master of Philosophy (MPhil) Degree:
      • Written Qualifying Examination
        Courses suggested for preparation at the level of the general and materials science parts of the written qualifying examination are listed in the qualifying examination memorandum.
      • Ethics requirement
        Online ethics course during Fall of 1st, year, attend departmental ethics seminar during Spring of 1st and 2nd years
      • Oral Exam (usually Spring of 2nd year)
      • 30 points of courses and/or research (beyond MS) taken for a letter grade with 3.0 GPA
        Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied to this 30 point requirement
      • 6 Residence Units
        One per semester not including summer, takes 3 years without MS or 2 years with MS
      • Thesis proposal (usually Spring of 3rd year)
      • Master of Philosophy Degree awarded
    • Complete Dissertation
    • Successful Defense
  • Requirements for the EngScD or DES

    The requirements for the Doctor of Engineering Science ( EngScD or DES) in Materials Science and Engineering

    • Complete requirements for the MS with a 3.0 Minimum GPA
      (unless a Master’s Degree from another institution has already been earned, in which case student receives 30 points of advanced standing)
    • PhD candidates are strongly encouraged to complete ENGI E6001–6004 and should consult their program for Professional Development and Leadership Course, ENGI E4000, as a graduation requirement.
    • Written Qualifying Examination
      Specific course requirements are determined in consultation with the program adviser. Courses suggested for preparation at the level of the general and materials science parts of the written qualifying examination are listed in the qualifying examination memorandum.
    • Ethics requirement
      Online ethics course during Fall of 1st year, attend departmental ethics seminar during Spring of 1st and 2nd years
    • Oral Exam (usually Spring of 2nd year)
    • 30 points of courses and/or research (beyond MS) taken for a letter grade with 3.0 GPA
      Can be fulfilled with core and related courses of specialization not used for the MS degree as well as research points, but no more than 15 points of research can be applied toward this 30 point requirement
    • 12 points of MSAE E9800: Doctoral Research Instruction
    • Thesis proposal (usually Spring of 3rd year)
    • Complete Dissertation
    • Successful Defense
  • Specialty in Solid-State Science and Engineering

    Solid-state science and engineering is an interdepartmental graduate specialty that provides coverage of an important area of modern technology that no single department can provide. It encompasses the study of the full range of properties of solid materials, with special emphasis on electrical, magnetic, optical, and thermal properties. The science of solids is concerned with understanding these properties in terms of the atomic and electronic structure of the materials in question. Insulators (dielectrics), semiconductors, ceramics, and metallic materials are all studied from this viewpoint. Quantum and statistical mechanics are key background subjects. The engineering aspects deal with the design of materials to achieve desired properties and the assembling of materials into systems to produce devices of interest to modern technology, e.g., for computers and for energy production.

    The graduate specialty in solid-state science and engineering includes research programs in semiconductor nanocrystals; optics of semiconductors and nanomaterials; molecular beam epitaxy leading to semi-conductor devices; metamaterials and infrared optoelectronic devices (Prof. Nanfang Yu, Applied Physics and Applied Mathematics); and inelastic light scattering in low-dimensional electron gases within semiconductors); large-area electronics and thin-film transistors (Prof. James Im, Henry Krumb School of Mines/Applied Physics and Applied Mathematics); structural analysis and high Tc superconductors (Prof. Siu-Wai Chan, Henry Krumb School of Mines/Applied Physics and Applied Mathematics); X-ray microdiffraction and stresses (Prof. I. C. Noyan, Henry Krumb School of Mines/Applied Physics and Applied Mathematics); electronic and magnetic metal thin films; magnetic properties of thin films (Prof. William Bailey, Applied Physics and Applied Mathematics); the structure of nanomaterials); electronic structure calculations of materials (Prof. Chris Marianetti, Applied Physics and Applied Mathematics); ultrafast nonlinear optics and nanophotonics (Prof. Alexander Gaeta, Applied Physics and Materials Science and Engineering); and silicon photonics (Prof. Michal Lipson, Electrical Engineering and Applied Physics).

    Program of Study
    The applicant for the graduate specialty must be admitted to one of the participating programs: applied physics and applied mathematics, or electrical engineering. A strong undergraduate background in physics or chemistry and in mathematics is important.

    The doctoral student must meet the formal requirements for the EngScD or PhD degree set by the department in which he or she is registered. However, the bulk of the program for the specialty will be arranged in consultation with a member of the interdepartmental Committee on Materials Science and Engineering/ Solid-State Science and Engineering. At the end of the first year of graduate study, doctoral candidates are required to take a comprehensive written examination concentrating on solid-state science and engineering.

    The following are regarded as core courses of the specialty:

    APPH E4100: Quantum physics of matter (3 pts)
    APPH E4110: Modern Optics (3 pts)
    APPH E4112: Laser physics (3 pts)
    APPH-MSAE E6081-E6082: Solid state physics, I and II (3 pts)
    CHEM GU4230: Statistical thermodynamics (4.5 pts)

    or

    CHAP E4120: Statistical mechanics (3 pts)
    ELEN E4301: Introduction to semiconductor devices (3 pts)
    ELEN E4944: Principles of device microfabrication (3 pts)
    ELEN E6331-E6332: Principles of semiconductor physics (3 pts)
    ELEN E6403: Classical electromagnetic theory (4.5 pts)

    or

    PHYS GR6092: Electromagnetic theory, I (4.5 pts)
    MSAE E4100: Crystallography (3 pts)
    MSAE E4206: Electronic and magnetic properties of solids (3 pts)
    MSAE E4207: Lattice vibrations and crystal defects (3 pts)
    MSAE E6220: Crystal physics (3 pts)
    MSAE E6240: Impurities and defects in semiconductor materials
    MSAE E6241: Theory of solids
    PHYS GR6018: Physics of the solid state
    PHYS GR6037: Quantum mechanics

  • Professional Degree: Metallurgical Engineer

    For for engineers who wish to do advanced work beyond the level of the MS degree, but who do not desire to emphasize research, please learn more about our Professional Degree: Metallurgical Engineer

Advising

Have a question? Feel free to contact our Student Services Coordinator or reach out to the Materials Science & Engineering 1st Year Doctoral Advisor.

AI at Columbia

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The Master of Science in Artificial Intelligence program combines core AI courses in Computer Science and Engineering with an array of concentrations to provide students with specialized training.

Available Programs

  • CS@CU MS Bridge Program in Computer Science

    The CS@CU MS Bridge Program in Computer Science is a well-established pathway for students without a formal undergraduate background in computer science. The program provides comprehensive preparation in programming, data structures, discrete mathematics, and core computing concepts.

    Students apply directly to the Bridge Program and, upon successful completion of the required coursework and GPA benchmarks, transition into the MS in Computer Science.

    Program structure

    • Part-time, non-degree Bridge program
    • Apply to the CS@CU MS Bridge Program via the graduate application
    • Transition to the MS upon successful completion
    • Not eligible for F-1 visa sponsorship during the Bridge phase
  • IEOR MS Bridge Program

    The IEOR MS Bridge Program is designed to equip students for success in the Master of Science in Business Analytics (MSBA) or the Master of Science in Management Science and Engineering (MS&E) programs. The Bridge Program provides a clear and structured pathway for students who may lack some of the quantitative, coding, or data science skills required for direct admission.

    Business Analytics MS Bridge Program

    The MS in Business Analytics Bridge Program is designed for students with strong academic or professional potential who need additional preparation in quantitative methods, computing, or data science before transitioning into the Master of Science in Business Analytics.

    Students apply directly to the Bridge Program and, upon successful completion, transition into the MS in Business Analytics.

    Program structure

    • Part-time, non-degree Bridge program
    • Apply to the Business Analytics MS Bridge Program via the graduate application
    • Transition to MS after Bridge completion
    • Not eligible for F-1 visa sponsorship during the Bridge phase

    Management Science and Engineering MS Bridge Program

    The Management Science and Engineering Program prepares students from non-engineering or partially quantitative backgrounds for advanced study in management science, optimization, analytics, and systems engineering prior to transitioning into the MS&E MS curriculum.

    Students apply directly to the Bridge Program and, upon successful completion, transition into the MS in Business Analytics.

    Program structure

    • Part-time, non-degree Bridge program
    • Apply to the Management Science and Engineering MS Bridge Program via the graduate application
    • Transition to MS after Bridge completion
    • Not eligible for F-1 visa sponsorship during the Bridge phase
  • Electrical Engineering MS Bridge Program

    The Electrical Engineering MS Bridge Program supports students from related quantitative or scientific backgrounds who lack formal electrical engineering training. Students complete targeted foundational coursework aligned with their intended area of specialization before transitioning fully into MS-level study.

    Program structure

    • Part-time, non-degree Bridge program
    • Apply to the Electrical Engineering MS Bridge Program via the graduate application
    • Transition to MS after successful completion
    • Not eligible for F-1 visa sponsorship during the Bridge phase
  • Biomedical Engineering MS Preparation Pathway

    The Master of Science in Biomedical Engineering welcomes high-achieving students from a range of academic backgrounds, including other engineering disciplines (e.g., mechanical, electrical, civil) and allied sciences (e.g., biology, chemistry, physics, computer science). While Biomedical Engineering does not offer a formal Bridge Program, admitted students may be required to complete additional coursework—beyond the standard MS curriculum—if specific foundational gaps are identified during the admissions review.

    Program structure

    • Full-time or part-time MS enrollment
    • Apply directly to the Biomedical Engineering MS program. If additional preparatory coursework is required, it will be specified in the admission offer.
    • Eligible for F-1 visa sponsorship
  • Civil Engineering and Engineering Mechanics MS Bridge Program

    The Civil Engineering and Engineering Mechanics MS Bridge Program supports students without a civil engineering undergraduate degree by providing focused preparation in mechanics, fluids, structures, and related areas. Bridge requirements are determined at admission and completed prior to or alongside graduate coursework.

    Program structure

    • Full-time or part-time MS enrollment
    • Bridge coursework integrated into MS program
    • No separate Bridge application is required. Apply directly to the Civil Engineering and Engineering Mechanics Master of Science program.
    • Eligible for F-1 visa sponsorship
  • Chemical Engineering Scientist-to-Engineer (S2E) Program

    The Scientist-to-Engineer (S2E) program is an integrated pathway within the MS in Chemical Engineering for students without an undergraduate degree in chemical engineering.

    Students complete an intensive, accelerated set of undergraduate-level chemical engineering courses during their first semester, covering core concepts needed for success in the graduate curriculum. Degree completion is typically achieved in three semesters.

    Program structure

    • Full-time or part-time MS enrollment
    • Bridge coursework completed within the MS program
    • No separate Bridge application is required. Apply directly to the Chemical Engineering Master of Science program.
    • Eligible for F-1 visa sponsorship
  • Mechanical Engineering MS Bridge Program (Coming Soon)

    The Mechanical Engineering MS Bridge Program prepares students without an undergraduate degree in mechanical engineering to enter the MS in Mechanical Engineering curriculum with confidence. The program emphasizes core areas such as mechanics, thermal fluids, design, and materials.

    Bridge requirements are assigned upon admission to the MS program and are completed prior to or alongside graduate coursework.

    Program structure

    • Full-time or part-time MS enrollment
    • Bridge coursework integrated into MS program
    • No separate Bridge application is required. Apply directly to the Mechanical Engineering Master of Science program.
    • Eligible for F-1 visa sponsorship
       
  • Computer Engineering Bridge Program

    The Columbia Computer Engineering MS Bridge program will enable students with undergraduate degrees in fields other than electrical engineering, computer engineering, and computer science to take preparatory courses before enrolling in the CE MS degree program. The Computer Engineering Bridge Program offers two distinct tracks, enabling students to acquire the essential foundational skills tailored to their specific interests within the MS curriculum. One track is designed for students aiming to specialize in Computer Systems (Track A), while the other prepares students for specializing in Computer Chip Design (Track B). Students complete targeted foundational coursework aligned with their intended area of specialization before transitioning fully into MS-level study. 

    Program structure

    • Part-time, non-degree program
    • Apply to the Computer Engineering MS Bridge Program via the graduate application
    • Transition to the Computer Engineering MS after successful completion
    • Not eligible for F-1 visa sponsorship during the bridge program

Frequently Asked Questions

  • Who should consider an MS Bridge Program?

    MS Bridge Programs are ideal for students with strong academic or professional records who may be missing specific undergraduate coursework required for direct entry into an engineering MS program.
     

  • Do Bridge Programs lead to a degree?

    Yes, the goal is the students complete the corresponding Master’s of Science program they have been admitted to. Note that the Computer Science, Electrical Engineering, Business Analytics, and Management Science + Engineering bridge programs are not degree-granting on their own. These serve as a pathway into a Columbia Engineering MS program, after which students complete degree requirements. The Biomedical Engineering, Chemical Engineering, Civil Engineering and Engineering Mechanics, and Mechanical Engineering bridge programs are integrated into the MS program, and thus are degree-seeking programs. 

  • Are Bridge students eligible for student visas?

    This will vary by program. Students enrolled directly in the Biomedical Engineering, Chemical Engineering, Civil Engineering and Engineering Mechanics, and Mechanical Engineering bridge programs are eligible for F-1 visas

    Students in the Computer Science, Electrical Engineering, Business Analytics, and Management Science + Engineering bridge programs are not eligible for F-1 visa sponsorship until they transition into the MS.

  • Can Bridge requirements be waived?

    In many programs, previously completed coursework may be reviewed for possible waivers, typically requiring a minimum grade of B or higher.

  • When are application deadlines?

    The priority deadline for most Bridge Programs is February 15. Applicants are encouraged to review individual program pages for the most up-to-date information.

  • What materials are required to apply?

    The following materials must accompany the online application for on-campus graduate programs. 

    • Transcripts
    • Three Letters of Recommendation
    • Personal Statement
    • Resumé or Curriculum Vitae
    • Video Interview
    • Graduate Record Examination (GRE) General Test Scores (optional)
    • English Language Exam Scores (TOEFL, IELTS, Duolingo) required for applicants educated in a country other than Australia, Canada, Ireland, New Zealand, Singapore, the UK, Ghana, Nigeria, Kenya, and the United States of America.
    • $85 non-refundable application fee (payable by a major credit card through the online application system)
  • How do I apply?

    Interested students should apply using the On-Campus MS and PhD Programs application found here.