以哥大为例，对比一下这三个专业的必修课部分。
商业分析 - Business Analytics (MSBA)
The MSBA program is a three-semester STEM program which can be completed within 12 months. The program is in partnership with two Columbia Business School divisions: Decision, Risk, and Operations (DRO) and Marketing.
IEOR E4502 Python for Analytics Bootcamp (0-credit)
IEOR E4599 MSBA Quantitative Bootcamp (0-credit)
IEOR E4101 Probability, Statistics and Simulation
IEOR E4523 Data Analytics
IEOR E4650 Business Analytics
MRKT B965 Marketing Analytics
IEOR E4598 Business Analytics Practitioners Seminar Series (0-credit,year-long)
ENG IE4000 Professional Development Leadership (0-credit)
IEOR E4004 Optimization Models and Methods
IEOR E4524 Analytics in Practice (required)
IEOR E4598 Business Analytics Practitioners Seminar Series (0-credit, year-long)
金融工程 - Financial Engineering (MSFE)
MSFE is a full-time STEM designated 36-point program. Students start in August and may complete the program in June, August or December of the following year.
Armed with these insights, graduates emerge ready to design robust strategies, harness> modern financial markets using the power of financial technology.
IEOR E4799 MSFE Quantitative and Computational Bootcamp (0-credit)
IEOR E4007 Optimization Models and Methods (FE)
IEOR E4701 Stochastic Models (FE)
IEOR E4706 Foundations of Financial Engineering
ENGI E4000 Professional Development and Leadership (0-credit)
IEOR E4798 Financial Engineering Seminar Series (0-credit, year-long)
IEOR E4703 Monte Carlo Simulation
IEOR E4707 Financial Engineering: Continuous Time Models
IEOR E4709 Statistical Analysis and Time Series
IEOR E4798 Financial Engineering Seminar Series (0-credit, year-long)
金融数学 - Mathematics of Finance (MAFN)
The Department of Mathematics at Columbia University offers a Master of Arts program in Mathematics with a specialization in the Mathematics of Finance (MAFN). It is co-sponsored by the Department of Statistics , and it draws on the diverse strengths of the university in mathematics, statistics, stochastic processes, numerical methods, and financial applications.
MATH GR 5010 Introduction to the Mathematics of Finance
STAT GR 5263 Statistical Inference / Time-Series Modeling
STAT GR 5264 Stochastic Processes – Applications
STAT GR 5265 Stochastic Methods in Finance
MATH GR 5030 Numerical Methods in Finance
MATH GR 5050 Practitioners’ Seminar
通过课程对比你会发现：
商业分析：可以理解为商科+统计+计算机，以商业知识为基础，梳理变成为手段，通过不同模型分析数据以解决商业问题。这里的商业知识不仅仅是金融，也涵盖了市场和管理。
金融工程：可以理解为数学+统计+计算机+金融，使用计算机语言通过数学模型统计有效信息以解决金融市场复杂问题。比如： 衍生品定价、风险管理、量化投资 等
金融数学：可以理解为数学+统计+金融，通过数理知识解释金融现象，预测未来，更偏向于理论研究。
总结来说：商分商科成分最高，金工计算机成分最高，金数数学成分最高。
如果读商分后续就业是各大公司的商业方向岗位比如市场，战略等等；相对应的，金工金数的就业会更多的集中在金融领域。
