美研专业深度解析之数学

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（Applie Mathematics ）

应用数学（Applie 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 Applie 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 Applie Mathematics an 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, an scores of

at least 20 on the spoken English portion.

• 需要GRE Avance Mathematics Sub

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

• Applie Mathematics (MA)

• Applie Mathematics (MS)

• Mathematics (MA)

• M.S. in Mathematical Finance

• M.S. in Statistics

• Applie 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 unergrauate backgroun in mathematics

which inclues one year of real analysis, one semester of abstract algebra, an one

semester of upper-ivision linear algebra is require.

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

mathematics which inclues one semester of real analysis or avance calculus an one

semester of linear algebra is require.

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, incluing one semester of avance

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

• Courses in analysis, linear algebra, complex variables, partial an orinary

ifferential equations, an probability theory are especially helpful.

• Stuents applying for the Ph.D. program who o not qualify for it will

automatically be consiere for the M.S. program.

院校详解-Northeastern University

Department of Science, 开设学位

Mathematics (MS)

Applie Mathematics (MS)

Mathematics (PhD)

Operation Research (MS)

录取要求：

Degree: Math PhD

Personal Statement: Yes

GRE General: Yes

Letters of Recommenation: 3

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

7.0 IELTS score

Dealine: Fall an Spring amission. February 1 priority ealine for Fall term.

October 1 ealine for international applicants an December 1 ealine for omestic

applicants to Spring term.

院校详解-University of Illinois—Urbana-Champaign

Department of Science,

开设学位

• Major: Applie Mathematics Degrees Offere: M.S.

Grauate Concentration: Actuarial Science (in Applie Mathematics only)

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

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

录取要求：

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

• The Mathematics Department further requires a minimum TOEFL iBT speak

score of 20 for amission 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 complete application form

• GRE scores

• TOEFL scores for international applicants

• a brief (about 500 wors) statement inicating why you wish to pursue

grauate stuy an why Syracuse is a goo fit for you

• a curriculum vitae or resume

• A transcript from each postseconary institution attene shoul be sent by the institution to the SU Grauate School.

• 3 letters of recommenation shoul be sent irectly to the SU Grauate 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。