Honors 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 – 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.