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.