Bachelor of Science (B.S.) Honors Mathematics
Faculty Mentor
Prof. Yuning Liu
Email: yl67@nyu.edu | Profile
Student Testimonials
“Majoring in mathematics as an undergraduate widens my major choices for graduate school. I have not decided on my future career plan yet and the undergraduate years would be the best time for me to explore my interests. However, following the honors math track is anything but easy. The honors math courses would explain many relevant ideas, in particular many rigorous proofs, and how the theorems are established. The process from the definition to the theorem and then to the proof has really changed my worldview. It is fascinating to understand the spirit behind the proofs and how all the theorems work. (although I do not really understand sometimes.) It is also wonderful to be working with many great professors and a group of excellent classmates who are taking the same challenge as me. ” – Caiyi Li, Class of 2018
“I had intended to major in finance but gradually I realized that that maybe not my “Mr.Right”. In the first semester of freshman year, besides mandatory courses (GPS and EAP), the other two courses I took were both in Honors Maths track. I had gone through a hard time adjusting my mindset to maths study and also hesitated over questions like “should a girl take maths as major?”. However, finally it turns out that although I still don’t know whether I can do well in maths, I find it fascinating and, honestly, useful in countless fields. So why not just try it?” – Jiaqi Xi, Class of 2019, Fall 2016 Peer Advisor
Recommended Courses in Spring 2018 for Freshmen:
| Honors Analysis I |
| Honors Linear Algebra II |
| Writing as Inquiry |
| EAP/Chinese |
Recommended Courses in Spring 2018 for Sophomores:
| Complex Variables |
| Honors Theory of Probability |
| Core |
| Core/Chinese |
Degree Requirements – 2017-18 Bulletin
* = offered in Spring ’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 Honors Algebra I OR *MATH-SHU 377 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 Mathematical Statistics (pre-reqs: MATH-SHU 140 Linear Algebra, MATH-SHU 123 Multivariable Calculus, and MATH-SHU 235 Probability and Statistics.) 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. |