美研专业解析之数学 !
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美研专业解析之数学 !

2019-09-23...

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很多理科生都对数学专业感兴趣,那么数学专业学什么?它有哪些专业分支?它是否对学生有背景要求? 未来就业前景如何?各院校录取难度如何?接下来一一解析。

01专业介绍

数学( Mathematics )是研究数量、结构、变化以及空间模型等概念的一门学科。透过抽象化和逻辑推理的使用,由计数、计算、量度和对物体形状及运动的观察中产生。数学的基本要素是:逻辑和直观、分析和推理、共性和个性。

研究生学位有

• MA(Master of Arts)

• MS(Master of Science)

02专业分支

①纯数学(Pure Mathematics)

纯数学(Pure Mathematics)研究基本的类型和过程如

何转化成抽象的概念陈述,包括解析、代数和几何数学

的抽象概念等, 是所有学校数学系主要的研究方向。

具体的研究分支包括:

• 代数Algebra

• 解析Analysis

• 组合数学Combinatorics

• 泛函分析Functional Analysis

• 几何学Geometry

• 数理逻辑 Mathematical Logic

• 数论Number Theory

• 概率和数学物理 Probability & Mathematical Physics

• 拓扑学TOPOLOGY

②应用数学(Applied Mathematics )

应用数学(Applied Mathematics )是应用目的明确的数学理论和

方法的总称,研究如何应用数学知识到其他范畴(尤其是科学)

的数学分枝。部分学校作为数学系单独的研究方向。

具体的研究分支包括:

• 组合数学Combinatorics

• 计算生物学Computational Biology

• 物理应用数学Physical Applied Mathematics

• 计算科学与数值分析Computational Science & Numerical Analysis

• 理论计算机科学 Theoretical Computer Science

• 理论物理Theoretical Physics

③ 统计(Statistics)

---部分学校也放在数学系,硕士项目相比数学专业容易申请

03背景要求

要求本科为数学或相关专业,上过高等微积分和复合变量、微分方程和线性代数、概率论和离散数学等数学相关课程。 

04院校推荐

院校详解-University of Chicago

 Department of Mathematics

设置学位:

Ph.D. in Applied Mathematics and Computational Science (AMCS)

Master of Arts in AMCS

Master of Arts in Mathematics

Ph.D. in Mathematics

录取要求

• On the TOEFL, we look for total scores of at least 100, and scores of

at least 20 on the spoken English portion.

• 需要GRE Advanced Mathematics Sub

院校详解-University of Southern California 综排23,专排46,Department of Science, 开设学位

• Applied Mathematics (MA)

• Applied Mathematics (MS)

• Mathematics (MA)

• M.S. in Mathematical Finance

• M.S. in Statistics

• Applied Mathematics (PhD)

• Mathematics (PhD)

录取要求:

申请 PhD Program 需要GRE Sub

数学与应用数学方向先修课要求:A substantial undergraduate background in mathematics

which includes one year of real analysis, one semester of abstract algebra, and one

semester of upper-division linear algebra is required.

应用数学和统计方向先修课要求: A substantial undergraduate background in

mathematics which includes one semester of real analysis or advanced calculus and one

semester of linear algebra is required.

院校详解-New York University Department of Mathematics,开设学位

Ph.D. in Mathematics

Master of Science in Mathematics

Master of Science in Scientific Computing

Master of Science in Mathematics in Finance

录取要求

• T 100

• 申请 PhD Program 需要GRE Sub

• Three semesters of college-level calculus, including one semester of advanced

calculus or linear algebra or the equivalent are the very minimum requirements;

• Courses in analysis, linear algebra, complex variables, partial and ordinary

differential equations, and probability theory are especially helpful.

• Students applying for the Ph.D. program who do not qualify for it will

automatically be considered for the M.S. program.

院校详解-Northeastern University

Department of Science, 开设学位

Mathematics (MS)

Applied Mathematics (MS)

Mathematics (PhD)

Operation Research (MS)

录取要求:

Degree: Math PhD

Personal Statement: Yes

GRE General: Yes

Letters of Recommendation: 3

Other: GRE Subject; Recommended scores for TOEFL or IELTS : 100 iBT TOEFL score;

7.0 IELTS score

Deadline: Fall and Spring admission. February 1 priority deadline for Fall term.

October 1 deadline for international applicants and December 1 deadline for domestic

applicants to Spring term.

院校详解-University of Illinois—Urbana-Champaign

Department of Science,

开设学位

• Major: Applied Mathematics Degrees Offered: M.S.

Graduate Concentration: Actuarial Science (in Applied Mathematics only)

• Major: Mathematics Degrees Offered: M.S., Ph.D.

• Major: Teaching of Mathematics Degrees Offered: M.S.

录取要求:

• The minimum GPA for admission is 3.00 on a 4.00 scale.

• The Mathematics Department further requires a minimum TOEFL iBT speak

score of 20 for admission to the Masters Program.

院校详解-Syracuse University

Department of Science, 开设学位

• Mathematics (MS)

• Mathematics (PhD)

录取要求:

• A completed application form

• GRE scores

• TOEFL scores for international applicants

• a brief (about 500 words) statement indicating why you wish to pursue

graduate study and why Syracuse is a good fit for you

• a curriculum vitae or resume

• A transcript from each postsecondary institution attended should be sent by the institution to the SU Graduate School.

• 3 letters of recommendation should be sent directly to the SU Graduate School。

05就业方向

数学与应用数学专业属于基础专业,是其他相关专业的“母专业”。无论是进行科研数据分析、软件开发、三维动画制作还是从事金融保险,国际经济与贸易、工商管理、化工制药、通讯工程、建筑设计等,都离不开相关的数学专业知识。

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