Mathematics

Mathematics forms the cornerstone of the sciences, playing a powerful dual role as both a pure science and a tool for solving problems and modeling phenomena in other disciplines. For example, mathematics allows us to build efficient algorithms in computing, investigate rare events in financial markets, model the physical universe, develop predictions for climate science, map and study the human genome, and analyze the structure of the human brain. Mathematics draws vitality from questions arising in the natural world, as well as applications to industry and technology, and yet it is grounded in rigor and abstraction.

The Mathematics major is designed to give comprehensive training in both mathematics and its applications to prepare you for a career or more advanced degree programs. Courses required for the Mathematics major provide essential training and experience in analysis, algebra, differential equations, and probability theory. Mathematics elective courses cover numerous topics of pure and applied mathematics, including statistics, numerical analysis, partial differential equations, topology, differential geometry, scientific computing, mathematical finance, abstract algebra, number theory, and functional analysis.

NYU Shanghai offers two degree tracks in Mathematics: (a) Mathematics and (b) Honors Mathematics. Students who are interested in pursuing graduate study in Mathematics or related disciplines are encouraged to consider the Honors Mathematics degree.

Degree Requirements – 2018-19 Bulletin

* = offered in Spring ’19 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 or Honors ODE* Pre-reqs: C or better in Calculus (MATH-SHU 121) and Linear Algebra (MATH-SHU 140) or Honors Linear Algebra(MATH-SHU 141) and Honors Calculus (MATH-SHU 201)
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 236
The Mathematics of Statistics and Data Science, Part 2*
 

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 Introduction to Math Modeling*  
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 377 Differential Geometry  
MATH-SHU 997 Math Independent Study* Please follow the instruction and fill out the permission form.
Recommended Spring 2019 Courses

Recommended Courses in Spring 2019 for Freshmen:

  • Multivariable Calculus/Linear Algebra
  • Probability and Statistics
  • Writing as Inquiry
  • EAP/Chinese

Recommended Courses in Spring 2019 for Sophomores:

  • Ordinary Differential Equations
  • Functions of a Complex Variable
  • Math Elective
  • 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.