3+2 Dual Degree in 工程Columbia University

云顶集团 College has established a dual-学位 program (typically called a “3+2” program) in partnership with Columbia University in New York City. The dual-学位 program enables students to explore the liberal arts and sciences, while developing professional knowledge and experience in a specific field of engineering. Students in the program are admitted initially by 云顶集团 College, where they will typically spend three years fulfilling liberal education requirements and completing major requirements for the B.A. 学位. 

Although in principle students can pursue any major at 云顶集团, the required prerequisite courses in math, programming, and sciences are mostly included in 云顶集团’s 工程 Science major, making it an effective choice.

Successful students who have met the necessary requirements will then apply to complete an additional two years at Columbia University to complete a B.S. 学位 in engineering.

在 Fu Foundation School of 工程 and Applied Science of Columbia University, students can earn 学位s in:

• Applied Physics
• Biomedical 工程
• Chemical 工程
• Civil 工程
• Computer 工程
• 地球 and Environmental 工程
• Electrical 工程
• 工程 Management Systems
• Industrial 工程
• 工程 Mechanics
• Materials Science and 工程
• Mechanical 工程

两个B.A. 学位 from 云顶集团 College and the B.S. 学位 from Columbia are awarded at the conclusion of the fifth year, provided all requirements for each 学位 have been fulfilled. It is also possible to participate in the dual-学位 program on a 4+2个基底，I.e., to transfer to Columbia after 4 years at 云顶集团. Interested students should contact the 工程 Science program chair, Dr. 罗德尼Yoder). 

For purposes such as payment of tuition, student governance, financial aid, and housing, participants in the 3+2 program are considered 云顶集团 students during their first three years, and Columbia students during the last two.

During the three years at 云顶集团, students must take all required science and mathematics foundational courses (see Foundational Courses listed 下图) as well as specific pre-engineering courses for the engineering major of interest (see Additional Required Courses listed 下图). Students then apply for transfer to Columbia during their junior year. 

Admission is likely, though not guaranteed, if a student successfully meets all of the following requirements:

• Full-time enrollment at 云顶集团 College for at least past two years.
• Minimum overall GPA of 3.30, inclusive of all 课程 taken for credit.
• Minimum pre-engineering GPA of 3.30, inclusive of all science and mathematics prerequisite 课程.  Additionally, a minimum grade of B (3.0) must be obtained on the first attempt in all science and mathematics prerequisite 课程.
• Successful completion of major-specific prerequisite 课程 by the end of the spring semester of application.
• Successful completion of the 学位 and major requirements (with the exception of the 120-credit total) at 云顶集团 College by the end of the spring semester of application.
• Favorable recommendation letters: one each from the 3+2 Dual Degree coordinator at 云顶集团 College, a science instructor and a math instructor.
• Demonstrated proficiency in English.

NOTE: Required prerequisite courses must be taken in person, not online, except during the 2020-21 academic year.

Foundational courses for all 3+2 engineering majors transferring to Columbia University are:

• CHE 111 – Principles of Chemistry I with Lab (4 Cr.) 
• CS 119 – Foundations of Computer Science (4 Cr.) 
• EC 111 – Essentials of Economics I (4 Cr.) 
• EC 211 – Essentials of Economics II (4 Cr.) 
• DMC 172 – Calculus through Data and Modeling (4 Cr.) 
• PHY 125 – General Physics I (4 Cr.) 
• PHY 126 – General Physics II (4 Cr.) 
• 27 non-technical Humanities and Social Sciences credit hours (includes EC 111 and EC211 and college writing proficiency courses)
• Two additional semesters of calculus must be taken at another institution, preferably a Baltimore Student Exchange Program (BSEP) member school

Additional required courses for each of the engineering fields:

Applied Physics or Applied Mathematics

• PHY 325 – Classical and Quantum 波 (4 Cr.)
• A course in ordinary differential equations, taken independently or at another institution

Biomedical 工程

• PHY 325 – Classical and Quantum 波 (4 Cr.)
• DMC 416 – Scientific Computation (4 Cr.)
• CHE 151 – Principles of Chemistry II with Lab (4 Cr.) 
• BIO 111 – Explorations in Biology I: Life in Context (4 Cr.)
• BIO 112 – Explorations in Biology II: The Research Process (4 Cr.)
• Python programming experience required

Chemical 工程

• DMC 416 – Scientific Computation (4 Cr.)
• CHE 151 – Principles of Chemistry II with Lab (4 Cr.) 
• CHE 230 – Organic Chemistry I with Lab (4 Cr.) 
• Python programming experience recommended

Civil 工程

• DMC 416 – Scientific Computation (4 Cr.)
• ES 200 – Environmental Geology (4 Cr.) 
• Python programming experience recommended

Computer 工程

• CS 330 – Analysis of Computer Algorithms (4 Cr.) 
• CS 350 – Theory of Computation (4 Cr.) 
• DMC 416 – Scientific Computation (4 Cr.)
• Java programming experience required
• An introduction to electrical engineering course must be taken at another institution

地球 & Environmental 工程

• CHE 151 – Principles of Chemistry II with Lab (4 Cr.) 
• DMC 416 – Scientific Computation (4 Cr.)

One of the following three:

• BIO 112 – Explorations in Biology – The Research Process (4 Cr.)
• PHY 325 – Classical and Quantum 波 (4 Cr.)
• CHE 230 – Organic Chemistry I with Lab (4 Cr.) 

Electrical 工程

• DMC 416 – Scientific Computation (4 Cr.)
• PHY 325 – Classical and Quantum 波 (4 Cr.)
• Sufficient knowledge of computer programming in C++ or Java is needed in order to take Data Structures (COMS W3134 or W3137) at Columbia University
• An introduction to electrical engineering course must be taken at another institution

Industrial 工程, 工程 Management Systems or Operations Research

• DMC 321 – Applied Linear Algebra (4 Cr.)
• DMC 240 – Probability and Statistics (4 Cr.) 
• DMC 301 – Foundations of Data Science (4 Cr.)
• CS 330 – Analysis of Computer Algorithms (4 Cr.) 
• CS 350 – Theory of Computation (4 Cr.)

工程 Mechanics

• DMC 416 – Scientific Computation (4 Cr.)
• Python programming experience recommended

Materials Science & 工程

• CHE 151 – Principles of Chemistry II with Lab (4 Cr.) is recommended
• DMC 416 – Scientific Computation (4 Cr.)
• PHY 325 – Classical and Quantum 波 (4 Cr.)
• Python programming experience recommended

Mechanical 工程

• DMC 301 – Foundations of Data Science (4 Cr.)
• DMC 416 – Scientific Computation (4 Cr.)
• BIO 210 – Cell Biology 和Biochemistry (4 Cr.) or PHY 325 – Classical and Quantum 波 

• Applied Physics and Applied Mathematics focus on applications derived from fundamental physical and mathematical principles. Examples include nanoscale engineering, optical devices, and space science.
• Biomedical 工程 is dedicated to solving problems and generating products through molecular scale biochemical and biological transformations, leading to the design of novel biological products and processes for medicine.
• Chemical 工程 relies upon the laws of chemistry, physics, and mathematics to change the structure of chemical substances and purify new substances that are created in the process.
• Civil 工程 reflects the breadth of the engineering disciplines in the planning and designing of buildings, bridges, transportation systems, and environmental programs.
• 地球 and Environmental 工程 deals with the amelioration of environmental problems.
• Electrical and Computer 工程 include the fields of communications, control systems, electronics, and digital systems.
• Materials Science and 工程 is concerned with the structure, properties, performance, processing, and production of all materials, including biomaterials.
• Mechanical 工程 deals with the manipulation of energy through useful mechanical devices, including biomechanical devices.