数学与应用数学(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.
 
REQUIRED MAJOR COURSES: All Five Courses
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 123 Multivariable Calculus* Pre-req: MATH-SHU 121 Calculus
MATH-SHU 140 Linear Algebra* Can be substituted by Honors Linear Algebra I*. Pre-req: MATH-SHU 121 Calculus

MATH-SHU 235 OR

 

 

 

MATH-SHU 233

Probability and Statistics* OR

 

 

 

Honors Theory of Probability*

Pre-req: MATH-SHU 121 Calculus. Not open to students who have taken MATH-SHU 233 Honors Theory of Probability and/or MATH-UA 234 Mathematical Statistics. OR

Pre-reqs: MATH-SHU 328 Honors Analysis I and MATH-SHU 140 Linear Algebra

MATH-SHU 262 Ordinary Differential Equations I Can be substituted by MATH-SHU 362 Honors 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-SHU 282 Functions of a Complex Variable 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 ELECTIVES: Choose Eight
Choose Eight. At least two must be from the "Constrained Math Electives" Category. This list is not inclusive, other courses may be added if approved.
Constrained Math Electives
MATH-SHU 201 Honors Calculus* Pre-req: MATH-SHU 121 Calculus with a grade of A or A- OR Placement via NYU SH Mathematics Placement Examination.
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 Mathematics Placement Examination.
MATH-SHU 142 Honors Linear Algebra II Pre-req: MATH-SHU 141 Honors Linear Algebra I)
MATH-SHU 233 Honors Theory of Probability (pre-reqs: MATH-SHU 328 Honors Analysis I and MATH-SHU 140 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. Note that Honors Linear Algebra I is strongly suggested to take as the pre-req.

MATH-SHU 348/

MATH-UA 348

Honors Algebra I  

MATH-SHU 349/

MATH-UA 329

Honors Algebra II  
MATH-SHU 377 Differential Geometry Pre-req: MATH-SHU 329 Honors Analysis II
Additional Mathematics Electives
CSCI-SHU 2314 Discrete Mathematics*  
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*
 

MATH-SHU 240/

MATH-UA 240

Combinatorics  
MATH-SHU 234 Mathematical Statistics Pre-reqs: MATH-SHU 140 Linear Algebra, MATH-SHU 123 Multivariable Calculus and MATH-SHU 235 Probability and Statistics.
MATH-SHU 250 Mathematics of Finance Pre-reqs: MATH-SHU 123 Multivariable Calculus AND MATH-SHU 235 Probability and Statistics or MATH-SHU 233 Honors Theory of Probability
MATH-SHU 251 Scientific Computations  
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 362 Honors Ordinary Differential Equations*  
MATH-SHU 263 Partial Differential Equations Pre-req: MATH-SHU 262 Ordinary Differential Equations or MATH-SHU 362 Honors Ordinary Differential Equations
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 375/

MATH-GA 2310

Topology*  
MATH-SHU 345 Intro to Stochastic Processes* Pre-reqs: MATH-SHU 140 Linear Algebra and MATH-SHU 233 Honors Theory of Probability
MATH-SHU 997 Math Independent Study* Please follow the instruction and fill out the permission form.
Recommended Fall 2018 Courses

Recommended Courses in Fall 2018 for Freshmen:

  • Calculus
  • Core
  • Global Perspectives on Society
  • EAP/Chinese

Recommended Courses in Fall 2018 for Sophomores:

  • Linear Algebra
  • Probability and Statistics
  • 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.