Physics-Engineering Double Major at Columbia University

Additional courses are required for each of the engineering fields, as follows:

Physics-Applied Physics double majors:

• MA 231 - Differential Equations with Applications (4 Cr.)  

Physics-Biomedical Engineering double majors:

• MA 416 - Scientific Computation (4 Cr.)  (or MA 221  and MA 231 )
• CHE 151 - Principles of Chemistry II with Lab (4 Cr.)  
• BIO 101 - Explorations in Biology I: The Research Process (4 Cr.)  
• BIO 102 - Explorations in Biology II: Life in Context (4 Cr.)  
• Python programming language experience required.

Physics-Chemical Engineering double majors:

• CHE 151 - Principles of Chemistry II with Lab (4 Cr.)  
• CHE 230 - Organic Chemistry I with Lab (4 Cr.)  
• Python programming language experience required

Physics-Civil Engineering double majors:

• MA 416 - Scientific Computation (4 Cr.)  (or MA 221  and MA 231 )
• ES 200 - Environmental Geology (4 Cr.)  

Physics-Computer Engineering double majors:

• CS 330 - Analysis of Computer Algorithms (4 Cr.)  
• CS 350 - Theory of Computation (4 Cr.)  
• MA 416 - Scientific Computation (4 Cr.)  

Physics-Earth & Environmental Engineering double majors:

• CHE 151 - Principles of Chemistry II with Lab (4 Cr.)  
• MA 221 - Linear Algebra (4 Cr.)  

Physics-Electrical Engineering double majors:

• MA 221 - Linear Algebra (4 Cr.)  
• Sufficient knowledge of computer programming is needed in order to take Data Structures (COMS W3134 or W3137) at Columbia University

Physics-Industrial Engineering, Engineering Management Systems, or Operations Research double majors:

• MA 221 - Linear Algebra (4 Cr.)  
• MA 240 - Probability and Statistics (4 Cr.)  
• BUS 115 - Principles of Accounting (4 Cr.)  (can be taken at Columbia)

Physics-Engineering Mechanics double majors:

• None

Physics-Materials Science and Engineering double majors:

• CHE 151 - Principles of Chemistry II with Lab (4 Cr.)  
• MA 231 - Differential Equations with Applications (4 Cr.)  

Physics-Mechanical Engineering double majors:

• MA 416 - Scientific Computation (4 Cr.)