数学与应用数学(荣誉数学)

数学是科学的基石,它既是一门纯科学,又是解决其他学科问题以及基于现象建模的工具,具有强大的双重作用。因为数学,我们得以在计算中建立有效算法,研究金融市场的罕见事件,模拟物理世界,发展气候科学预测,绘制和研究人类基因组,以及分析人类大脑结构。数学从自然界存在与产生的各种问题,以及工业科技领域的应用中汲取生命力,以严谨和抽象为基石。

数学与应用数学专业,旨在培养数学及其应用领域的优秀人才,为未来职业发展和继续深造打下坚实基础。该专业必修课程提供分析、代数、微分方程和概率论方面的必要训练。选修课程则涵盖许多理论数学和应用数学的专题,包括统计学、数值分析、偏微分方程、拓扑学、微分几何、科学计算、数理金融、抽象代数、数论和泛函分析等。

上海纽约大学提供两种数学与应用数学专业学位:(a) 数学与应用数学(数学)和 (b) 数学与应用数学(荣誉数学)。有志于攻读数学或相关学科研究生学位的学生,应考虑修读数学与应用数学(荣誉数学)。

Degree Requirements – 2017-18 Bulletin

* = offered in Fall ’18 in Shanghai

NOTE: The requirements below are from the online version of the 2017-2018 bulletin. Please refer to the Registrar’s All Majors Degree Requirements if you are following a different major version.

To graduate with an Honors Mathematics degree, students have to maintain a cumulative and major GPA of 3.65. If they fail to do so, they may graduate as mathematics majors but retain the Honors designation of the individual courses they took on their transcripts. The earliest students are able to declare the major is after completion of Honors Analysis I and Honors Linear Algebra II and posting of their Spring semester freshman year grades.
REQUIRED MAJOR COURSES: All 8 courses below
Note that MATH-SHU 265 Linear Algebra and Differential Equations can’t substitute MATH-SHU 140 Linear Algebra. For any course that requires Linear Algebra as the pre-req, students have to meet the pre-req by taking Linear Algebra.
MATH-SHU 328 Honors Analysis I Pre-req: MATH-SHU 201 Honors Calculus
MATH-SHU 329 Honors Analysis II* Pre-reqs: MATH-SHU 328 Honors Analysis I and MATH-SHU 140 Linear Algebra.
MATH-SHU 141 Honors Linear Algebra I* Pre-req: MATH-SHU 121 Calculus with a grade of A or A- OR Placement via NYU SH Mathematicas Placement Examination.
MATH-SHU 142 Honors Linear Algebra II Pre-req: Honors Linear Algebra I

MATH-SHU 348 OR

MATH-SHU 377

Honors Algebra I OR

Differential Geometry

 

Pre-req: MATH-SHU 329 Honors Analysis II

MATH-SHU 233 Honors Theory of Probability* Pre-reqs: MATH-SHU 328 Honors Analysis I and MATH-SHU 140 Linear Algebra
MATH-SHU 282 Complex Variables Pre-reqs: MATH-SHU 123 Multivariable Calculus and MATH-SHU 140 Linear Algebra OR MATH-SHU 329 Honors Analysis II and MATH-SHU 141 Honors Linear Algebra I
MATH-SHU 362 Honors Ordinary Differential Equations* Can be substituted with MATH-SHU 262 Ordinary Differential Equations*. Pre-reqs: MATH-SHU 121 Calculus and MATH-SHU 140 Linear Algebra OR MATH-SHU 201 Honors Calculus and MATH-SHU 141 Honors Linear Algebra I.
MATH ELECTIVES: Choose Five
MATH-SHU 160 Networks and Dynamics Pre-reqs: MATH-SHU 121 Calculus OR MATH-SHU 201 Honors Calculus AND MATH-SHU 140 Linear Algebra

MATH-SHU 226/

MATH-GA 2550

Functional Analysis  

MATH-SHU 230/

MATH-UA 230

Fluid Dynamics  
MATH-SHU 234 The Mathematics of Statistics and Data Science* Pre-reqs: MATH-SHU 140 Linear Algebra, MATH-SHU 123 Multivariable Calculus, and Stats

MATH-SHU 240/

MATH-UA 240

Combinatorics  
MATH-SHU 252 Numerical Analysis Pre-reqs: MATH-SHU 123 Multivariable Calculus and MATH-SHU 140 Linear Algebra OR MATH-SHU 329 Honors Analysis II and MATH-SHU 141 Honors Linear Algebra I
MATH-SHU 250 Mathematics of Finance Pre-reqs: MATH-SHU 123 Multivariable Calculus AND MATH-SHU 235 Probability and Statistics OR or MATH-SHU 233 Honors Theory of Probability
MATH-SHU 251 Scientific Computations  
MATH-SHU 263 Partial Differential Equations Pre-req: MATH-SHU 262 Ordinary Differential Equations or MATH-SHU 362 Honors Ordinary Differential Equations
MATH-SHU 264 Dynamical Systems  
MATH-SHU 339 Real Variables Pre-req: MATH-SHU 328 Honors Analysis I or MATH-SHU 329 Honors Analysis II. Honors Analysis II is preferred. This is a high level course in analysis which requires a very good background in proving theorems. Students who did not have a high grade in Honors Analysis I or Honors Analysis II are strongly encouraged to consult the course instructor to see whether they have enough background.
MATH-SHU 341 Number Theory Pre-req: MATH-SHU 349 Honors Algebra II
MATH-SHU 345 Intro to Stochastic Processes* Pre-reqs: MATH-SHU 140 Linear Algebra AND MATH-SHU 233 Honors Theory of Probability

MATH-SHU 349/

MATH-UA 329

Honors Algebra II  

MATH-SHU 375/

MATH-GA 2310

Topology*  
MATH-SHU 120 Discrete Mathematics* Pre-req: MATH-SHU 121 Calculus or MATH-SHU 201 Honors Calculus
MATH-SHU 997 Math Independent Study* Please follow the instruction and fill out the permission form.
SENIOR THESIS

By approval or 1 additional Mathematics elective course.

 

Recommended Fall 2018 Courses

Recommended Courses in Fall 2018 for Freshmen:

  • Honors Calculus
  • Honors Linear Algebra I
  • Global Perspectives on Society
  • EAP/Chinese

Recommended Courses in Fall 2018 for Sophomores:

  • Honors Analysis II
  • Honors Ordinary Differential Equations
  • Perspectives on the Humanities
  • Core/Chinese
Faculty Mentor

Prof. Yuning Liu Email: yl67@nyu.edu | Profile

Minor in Mathematics
Four 4-credit mathematics courses at the Calculus level or higher. Of current math offerings, Linear Algebra and Differential Equations, Math for Economists would not count for the minor.