相信很多在本科阶段学习数学专业的学生,到申请研究生的时候,有着这样的疑惑:到底是要申请数学呢,还是应用数学,或者有些学校专业名为计算数学?那我们这边就以普林斯顿大学为例,给大家分析一下美国研究生阶段,数学专业的开设情况。
首先普林斯顿大学是美国一所私立研究型大学,位于美国新泽西州的普林斯顿,八所常春藤盟校之一。在2016USNEWS排名中,普林斯顿大学综合排名第一,同时研究生数学专业排名也和麻省理工大学(MIT)共同并列第一。普林斯顿大学具有两个和数学相关的专业,一个属于Departmentof Mathematics,另一个在Programin Applied and Computational Mathematics下。
普林斯顿的数学系和其他的数学top院校相比,从第一年开始就更加注重学生的独立研究。在2015-16学年,该系共有64名教职员工,17名访问学者或研究员,62名在读博士生。
“Our GraduateProgram (Department of Mathematics) is unique from the other top mathematicsinstitutions in the U.S. in that it emphasizes, from thestart, independent research. Each year, we have extremely motivatedand talented students among our new Ph.D. candidates who, we are proud tosay, will become the next generation of leading researchers in theirfields. ”
而另外一个Programin Applied and Computational Mathematics(PACM)是一个跨学科和跨部门的项目,主要研究方向为数学及其在科学和工程领域的应用,包括数值分析和其他计算方法。在2015-16学年,共有52名来自不同部门的教授,34名在读博士生。
“PACM (theProgram in Applied and Computational Mathematics) is an interdisciplinary andinterdepartmental program that provides a home for people from many fields anddirections, who share a passion for mathematics and its applications. TheProgram in Applied and Computational Mathematics offers a select group ofhighly qualified students the opportunity to obtain a thorough knowledge ofbranches of mathematics indispensable to science and engineering applications,including numerical analysis and other computational methods. “
Department of Mathematics | Program in Applied and Computational Mathematics |
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从研究领域的对比,我们可以发现,数学院下的数学专业更加偏重于理论研究,比如一些代数几何学、分析等;而应用和计算数学专业,更加偏重于实际的应用,以及和其他领域的一个结合,包括和信号、计算物理等各个其他方向。 接着我们再看一下申请要求的区别:
2、申请要求
Department of Mathematics | Program in Applied and Computational Mathematics | |
开设学位 | Ph.D.
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申请截止日期 | December 15 | |
学制 | 5 years | 4 years |
学术背景要求 | A solid background in undergraduate mathematics is expected of applicants to Princeton 坚实的本科数学背景 | |
申请材料 | Statement of Academic Purpose学术目标
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TOEFL要求 | 没有最低要求;录取的学生如果托福口语没有达到28分,需要参加English placement test at Princeton | |
GRE要求 | 需要General和数学的sub General and mathematics subject tests. | 需要General和数学、物理或者工程的Sub考试 General test required and subject tests in mathematics, physics, engineering or a related field recommended |
语言要求 | Students must satisfy the language requirement by demonstrating to a member of the mathematics faculty a reasonable ability to read ordinary mathematical texts in one of the following three languages: French, German or Russian. The language test must be passed before the end of the first year, and before standing for the general examination. 需要能阅读以下任意一门语言的数学文献:法语,德语或者俄语。 | 无 |