Major Description
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 – 201718 Bulletin
* = offered in Fall ’18 in Shanghai
NOTE: The requirements below are from the online version of the 20172018 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 MATHSHU 265 Linear Algebra and Differential Equations can’t substitute MATHSHU 140 Linear Algebra. For any course that requires Linear Algebra as the prereq, students have to meet the prereq by taking Linear Algebra.  
MATHSHU 123  Multivariable Calculus*  Prereq: MATHSHU 121 Calculus 
MATHSHU 140  Linear Algebra*  Can be substituted by Honors Linear Algebra I*. Prereq: MATHSHU 121 Calculus 
MATHSHU 235 OR
MATHSHU 233 
Probability and Statistics* OR
Honors Theory of Probability* 
Prereq: MATHSHU 121 Calculus. Not open to students who have taken MATHSHU 233 Honors Theory of Probability and/or MATHUA 234 Mathematical Statistics. OR Prereqs: MATHSHU 328 Honors Analysis I and MATHSHU 140 Linear Algebra 
MATHSHU 262  Ordinary Differential Equations I  Can be substituted by MATHSHU 362 Honors Ordinary Differential Equations*. Prereqs: MATHSHU 121 Calculus and MATHSHU 140 Linear Algebra OR MATHSHU 201 Honors Calculus and MATHSHU 141 Honors Linear Algebra I 
MATHSHU 282  Functions of a Complex Variable  Prereqs: MATHSHU 123 Multivariable Calculus and MATHSHU 140 Linear Algebra OR MATHSHU 329 Honors Analysis II and MATHSHU 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  
MATHSHU 201  Honors Calculus*  Prereq: MATHSHU 121 Calculus with a grade of A or A OR Placement via NYU SH Mathematics Placement Examination. 
MATHSHU 141  Honors Linear Algebra I*  Prereq: MATHSHU 121 Calculus with a grade of A or A OR Placement via NYU SH Mathematics Placement Examination. 
MATHSHU 142  Honors Linear Algebra II  Prereq: MATHSHU 141 Honors Linear Algebra I) MATHSHU 233 Honors Theory of Probability (prereqs: MATHSHU 328 Honors Analysis I and MATHSHU 140 Linear Algebra 
MATHSHU 328  Honors Analysis I  Prereq: MATHSHU 201 Honors Calculus 
MATHSHU 329  Honors Analysis II*  Prereqs: MATHSHU 328 Honors Analysis I and MATHSHU 140 Linear Algebra. Note that Honors Linear Algebra I is strongly suggested to take as the prereq. 
MATHSHU 348/ MATHUA 348 
Honors Algebra I  
MATHSHU 349/ MATHUA 329 
Honors Algebra II  
MATHSHU 377  Differential Geometry  Prereq: MATHSHU 329 Honors Analysis II 
Additional Mathematics Electives  
CSCISHU 2314  Discrete Mathematics*  
MATHSHU 160  Networks and Dynamics  Prereqs: MATHSHU 121 Calculus OR MATHSHU 201 Honors Calculus AND MATHSHU 140 Linear Algebra 
MATHSHU 226/ MATHGA 2550 
Functional Analysis  
MATHSHU 230/ MATHUA 230 
Fluid Dynamics  
MATHSHU 234  The Mathematics of Statistics and Data Science* 

MATHSHU 240/ MATHUA 240 
Combinatorics  
MATHSHU 234  Mathematical Statistics  Prereqs: MATHSHU 140 Linear Algebra, MATHSHU 123 Multivariable Calculus and MATHSHU 235 Probability and Statistics. 
MATHSHU 250  Mathematics of Finance  Prereqs: MATHSHU 123 Multivariable Calculus AND MATHSHU 235 Probability and Statistics or MATHSHU 233 Honors Theory of Probability 
MATHSHU 251  Scientific Computations  
MATHSHU 252  Numerical Analysis  Prereqs: MATHSHU 123 Multivariable Calculus and MATHSHU 140 Linear Algebra OR MATHSHU 329 Honors Analysis II and MATHSHU 141 Honors Linear Algebra I 
MATHSHU 362  Honors Ordinary Differential Equations*  
MATHSHU 263  Partial Differential Equations  Prereq: MATHSHU 262 Ordinary Differential Equations or MATHSHU 362 Honors Ordinary Differential Equations 
MATHSHU 339  Real Variables  Prereq: MATHSHU 328 Honors Analysis I or MATHSHU 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. 
MATHSHU 341  Number Theory  Prereq: MATHSHU 349 Honors Algebra II 
MATHSHU 375/ MATHGA 2310 
Topology*  
MATHSHU 345  Intro to Stochastic Processes*  Prereqs: MATHSHU 140 Linear Algebra and MATHSHU 233 Honors Theory of Probability 
MATHSHU 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 4credit 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.