Undergraduate Degrees Offered

 



B.S. in AP, AM, or MSE

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Undergraduate Double Major in Applied Physics and Applied Mathematics

Students satisfy all requirements for both majors, except for the seminar requirements. They are required to take both senior seminars, APMA E4903 and APPH E4903 (taking one in the junior year and one in the senior year, due to timing conflicts), but not the junior seminars, APMA E4901 and APPH E4901. A single course may be used to fulfill a requirement in both majors. Students must maintain a GPA at or above 3.75, and must graduate with at least 143 points, 15 above the regular 128-point requirement. These extra 15 points should be technical electives appropriate for one or both majors.

To apply, a student first obtains the approval of both the general undergraduate AP advisor and the general undergraduate AM advisor, and then the approval of the Dean.

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Combined Plan Progam

Columbia Engineering maintains cooperative program relationships with institutions nationwide and with other Columbia University undergraduate divisions. These programs allow students to complete the equivalent of the First Year–Sophomore Program and transfer directly to a field of specialization in the School, beginning their study at the School as junior-level students.

The Combined Plan (3-2) Program within Columbia University

Students who follow this program apply through their own school at Columbia College, Barnard College, or the School of General Studies for admission. Under this plan, the pre-engineering student studies in the appropriate college for three years, then attends Columbia Engineering for two years and is awarded the Bachelor of Arts degree and the Bachelor of Science degree in engineering upon completion of the fifth year. This five-year program is optional at Columbia, but the School recommends it to all students who wish greater enrichment in the liberal arts and pure sciences.

For more information, please see: Combined Plan Program

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Undergraduate Minor in Applied Physics, Applied Mathematics, or Materials Science

SEAS Bulletin: Undergraduate Minors

Minor in Applied Physics

Prospective students should consult the first- and second-year requirements for applied physics majors to ensure that prerequisites for the applied physics minor are satisfied in the first two years.

Course work counting toward the applied physics minor may not include advanced placement credits.
 

  1. APPH E4901: Seminar: problems in applied physics 1.0 points
     
  2. APPH E3200: Mechanics 3.0 points
     
  3. APPH E3100: Introduction to quantum mechanics 3.0 points
     
  4. APPH E3300: Applied electromagnetism 3.0 points
     
  5. MSAE E3111: Thermodynamics, kinetic theory, and statistical mechanics 3.0 points
     
  6. Two of the following courses:
     

Minor in Applied Mathematics

Prospective students should consult the first- and second-year requirements for applied mathematics majors to ensure that prerequisites for the applied mathematics minor are satisfied in the first two years.

Course work counting toward the applied mathematics minor may not include advanced placement credits. Any substitutions for the courses listed below require the approval of the applied mathematics program adviser.
 

  1. APMA E3101: Linear algebra 3.0 points or
    MATH V2010:
    Linear algebra 3.0 points
     
  2. APMA E3102: Partial differential equations 3.0 points or
    MATH V3028
    : Partial differential equations 3.0 points
     
  3. - 5. Three of the following courses:
     
  • APMA E4300: Introduction to numerical methods 3.0 points
     
  • APMA E4204: Functions of a complex variable 3.0 points
     
  • APMA E4101: Introduction to: dynamical systems 3.0 points
     
  • MATH V2500: Analysis and optimization 3.0 points
     
  • SIEO W4105: Introduction to probablity and statistics 3.0 points
     
  • STAT W4107: Statistical inference 3.0 points
     
  • or any other course designated APMA, MATH, STAT, IEOR, or COMS that is approved by the applied mathematics program adviser.

 

Minor in Materials Science
 

  1. MSAE E3103: Elements of materials science 3.0 points
     
  2. - 3. Two of the following courses:
  • MSAE E3111: Thermodynamics, kinetic theory, and statistical mechanics 3.0 points or
     
  • MSAE E3141: Metals and semiconductors 3.0 points
     
  • MSAE E3142: Ceramics and polymers 3.0 points
  • MSAE E4206: Electronic and magnetic properties of solids 3.0 points
     
  • MSAE E4100: Crystallography 3.0 points
     
  • MSAE E4101: Structural analysis of materials 3.0 points


4. – 6. Three of the following courses

(other materials-related courses may be acceptable):

  • APPH E4100: Quantum physics of matter 3.0 points
     
  • CHEE E4050: Industrial and environmental electrochemistry 3.0 points
     
  • CHEE E4252: Introduction to surface and colloid chemistry 3.0 points
     
  • CHEE E4530: Corrosion of metals 3.0 points
     
  • CHEE E4620: Introduction to polymer science 3.0 points
     
  • CHEN E4630: Polymer laboratory 3.0 points
     
  • CHEM C3443: Organic chemistry 3.5 points
     
  • EAEE E4900: Applied transport and chemical rate phenomena 3.0 points
     
  • ELEN E3106: Solid-state devices and materials 3.5 points
     
  • ELEN E4411: Fundamentals of photonics 3.0 points
     
  • ELEN E4301: Introduction to semiconductor devices 3.0 points
     
  • ELEN E4944: Principles of device microfabrication 3.0 points
     
  • ENME E4113: Advanced mechanics of solids 3.0 points
     
  • ENME E4114: Mechanics of fracture and fatigue 3.0 points
     
  • MECE E4608: Manufacturing processes 3.0 points
     
  • MECE E4701: Introductory biomechanics 3.0 points
     

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