3+2 Dual Degree in EngineeringColumbia University

云顶集团设立了双学位课程(通常称为“3+2”课程)。 in partnership with Columbia University in New York City. The dual-degree program 使学生探索文科和理科，同时发展专业 knowledge and experience in a specific field of engineering. Students in the program 首先被云顶集团录取，通常在那里学习三年 满足通识教育要求，完成专业要求 B.A. degree. 

虽然原则上学生可以在云顶集团大学学习任何专业，但前提条件是 数学、编程和科学课程主要包括在云顶集团的工程课程中 Science major, making it an effective choice.

符合必要条件的成功学生将申请完成 an additional two years at Columbia University to complete a B.S. degree in engineering.

At the 哥伦比亚大学工程与云顶集团科学学院, students can earn degrees in:

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

Both the B.A. degree from Goucher College and the B.S. degree from Columbia are awarded 在第五年结束时，提供了每个学位的所有要求 been fulfilled. It is also possible to participate in the dual-degree program on a 4+2 basis, i.e., to transfer to Columbia after 4 years at Goucher. Interested students should contact the Engineering Science program chair, Dr. Rodney Yoder. 

为了支付学费、学生管理、经济援助和住房等目的， 参加“3+2”课程的学生在第一阶段被视为云顶集团学生 three years, and Columbia students during the last two.

在云顶集团的三年里，学生必须修完所有必修的科学和数学课程 基础课程(见下面列出的基础课程)以及具体的预工程 工程专业感兴趣的课程(见所列的额外必修课程) below). 然后学生们在大三的时候申请转到哥伦比亚大学. 

如果学生成功地满足了所有要求，那么入学是有可能的，尽管不能保证 the following requirements:

• 在云顶集团全日制注册至少两年.
• Minimum overall GPA of 3.30, inclusive of all coursework taken for credit.
• Minimum pre-engineering GPA of 3.30, inclusive of all science and mathematics prerequisite coursework.  Additionally, a minimum grade of B (3.0) must be obtained on the first attempt in all science and mathematics prerequisite coursework.
• 在本学期结束前成功完成本专业的必修课程 spring semester of application.
• 成功完成学位和专业要求(除了 (总学分120学分)在春季学期申请结束前在云顶集团完成.
• 推荐信:3+2双学位协调员各一封 Goucher College, a science instructor and a math instructor.
• Demonstrated proficiency in English.

注意:必需的先决条件课程必须亲自参加，而不是在线，除非在 the 2020-21 academic year.

所有转入哥伦比亚大学的3+2工程专业的基础课程 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个非技术人文和社会科学学时(包括EC 111和 EC211 and college writing proficiency courses)
• 另外两个学期的微积分必须在另一个机构学习，最好 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 Waves (4 Cr.)
• 常微分方程课程:关于常微分方程的课程，独立开设或在其他机构开设

Biomedical Engineering

• PHY 325 – Classical and Quantum Waves (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 Engineering

• 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 Engineering

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

Computer Engineering

• 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
• 电气工程导论课程必须在另一所院校学习

Earth & Environmental Engineering

• 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 Waves (4 Cr.)
• CHE 230 – Organic Chemistry I with Lab (4 Cr.) 

Electrical Engineering

• DMC 416 – Scientific Computation (4 Cr.)
• PHY 325 – Classical and Quantum Waves (4 Cr.)
• 具备足够的c++或Java编程知识 take Data Structures (COMS W3134 or W3137) at Columbia University
• 电气工程导论课程必须在另一所院校学习

工业工程，工程管理系统或运筹学

• 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.)

Engineering Mechanics

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

Materials Science & Engineering

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

Mechanical Engineering

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

• Applied Physics and Applied Mathematics 关注从基本物理和数学原理衍生的云顶集团. 例子包括纳米工程、光学器件和空间科学.
• Biomedical Engineering 致力于通过分子尺度解决问题并产生产品 生物化学和生物学的转化，导致了新颖的生物设计 products and processes for medicine.
• Chemical Engineering 依靠化学、物理和数学定律来改变结构 化学物质和净化过程中产生的新物质.
• Civil Engineering 反映了工程学科在规划和设计方面的广度 建筑、桥梁、交通系统和环境项目.
• Earth and Environmental Engineering deals with the amelioration of environmental problems.
• Electrical and Computer Engineering 包括通信、控制系统、电子和数字系统领域.
• Materials Science and Engineering 与结构、性质、性能、加工和生产有关吗 of all materials, including biomaterials.
• Mechanical Engineering 通过有用的机械装置处理能量的操纵，包括 biomechanical devices.