美研专业解析之数学

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)

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

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。 

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。