Category Archives: Quantitative Reasoning

Elective Courses in Liberal Arts & Sciences

Combinatorics (MA-UY 4314)

Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Thu

Techniques for counting and enumeration including generating functions, the principle of inclusion and exclusion, and Polya counting. Graph theory. Modern algorithms and data structures for graph-theoretic problems. | Prerequisite: C or better in MA-UY 1124 or MA-UY 1424.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Mathematics of Finance (MA-UY 4324)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed,Thu

Introduction to the mathematics of finance. Topics include: Linear programming with application pricing and quadratic. Interest rates and present value. Basic probability: random walks, central limit theorem, Brownian motion, lognormal model of stock prices. Black-Scholes theory of options. Dynamic programming with application to portfolio optimization. | Prerequisites: A grade of C or better in (MA-UY 2114 or MA-UY 2514) and a grade of C or better in (MA-UY 2054 or MA-UY 2224 or MA-UY 2414 or MA-UY 3014 or MA-UY 3022 or MA-UY 3514 or MA-UY 4114).

Mathematics (Undergraduate)
4 credits – 15 Weeks

Honors Analysis I (MA-UY 4644)

Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri

This is an introduction to the rigorous treatment of the foundations of real analysis in one variable. It is based entirely on proofs. Students are expected to know what a mathematical proof is and are also expected to be able to read a proof before taking this class. Topics include: properties of the real number system, sequences, continuous functions, topology of the real line, compactness, derivatives, the Riemann integral, sequences of functions, uniform convergence, infinite series and Fourier series. Additional topics may include: Lebesgue measure and integral on the real line, metric spaces, and analysis on metric spaces. | Prerequisites: A grade of A- or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 1044 or MA-UY 2034 or MA-UY 3054) and Junior level standing or above. Recommended: MA-UY 2514 Honors Calculus III and MA-UY 3054 Honors Linear Algebra with a grade of B or better. | Anti-Requisite: MA-UY 4614

Mathematics (Undergraduate)
4 credits – 15 Weeks

Ordinary Diff Equations (MA-UY 4204)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed

A first course in ordinary differential equations, including analytical solution methods, elementary numerical methods, and modeling. Topics to be covered include: first-order equations including integrating factors; second-order equations including variation of parameters; series solutions; elementary numerical methods including Euler’s methods, Runge-Kutta methods, and error analysis; Laplace transforms; systems of linear equations; boundary-value problems. Restricted to Tandon math majors and students with a permission code from the math department. Fulfills ordinary differential equations requirement for the BS Math degree. | Prerequisites: C or better in (MA-UY 2114 or MA-UY 2514 or MATH-UH 1020 or MATH-UH 1021 or MATH-SHU 151) and (MA-UY 1044 or MA-UY 3054 or MA-UY 3113 or MATH-UH 1022 or MATH-SHU 140 or MATH-SHU 141). Note: Not open to students who have taken or will take MA-UY 2034 or MA-UY 4254

Mathematics (Undergraduate)
4 credits – 15 Weeks

Honors Algebra I (MA-UY 4054)

Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, group actions, homomorphisms and quotient groups, direct products, classification of finitely generated abelian groups, Sylow theorems. Rings, ideals and quotient rings, Euclidean rings, polynomial rings, unique factorization. | Prerequisites:(A grade of A- or better in MA-UY 2114 or a grade or B or better in MA-UY 2514) and (a grade of A- or better in MA-UY 1044 (formerly 3044) or MA-UY 3113 or a grade of B or better in MA-UY 3054). Additionally, it is suggested for students to have taken MA-UY 4614 or MA-UY 4644 as a prerequisite. Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054.

Mathematics (Undergraduate)
4 credits – 14 Weeks

Sections (Fall 2025)


MA-UY 4054-000 (12255)09/02/2025 – 12/11/2025 Tue,Thu12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Cappell, Sylvain


MA-UY 4054-000 (12256)09/02/2025 – 12/11/2025 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by


MA-UY 4054-000 (12257)09/02/2025 – 12/11/2025 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by

Algebra (MA-UY 4044)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri,Mon,Wed

Introduction to abstract algebraic structures, including groups, rings, and fields. Sets and relations. Congruences and unique factorization of integers. Groups, permutation groups, homomorphisms and quotient groups. Rings and quotient rings, Euclidean rings, polynomial rings. Fields, finite extensions. | Prerequisites: A grade of C or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 1044 (formerly 3044) or MA-UY 3054 or MA-UY 3113). Additionally, it is suggested for students to have taken MA-UY 4614 or MA-UY 4644 as a prerequisite. Note: Cannot receive credit for both MA-UY 4044 and MA-UY 4054.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Honors Linear Algebra (MA-UY 3054)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri

This honors section of Linear Algebra is intended for well-prepared students who have already developed some mathematical maturity. Its scope will include the usual Linear Algebra (MA-UY 3044) syllabus; however, this class will move faster, covering additional topics and going deeper. Vector spaces, linear dependence, basis and dimension, matrices, determinants, solving linear equations, eigenvalues and eigenvectors, quadratic forms, applications such as optimization or linear regression. Note: Not open to students who have already taken MA-UY 1044, MA-UY 1533, MA-UY 2034, or MA-UY 3113. | Prerequisites: A- or better in MA-UY 1024 or MA-UY 1324 or MA-UY 1022

Mathematics (Undergraduate)
4 credits – 15 Weeks

Intro to Math Modeling (MA-UY 4444)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Fri

Formulation and analysis of mathematical models. Mathematical tools include dimensional analysis, optimization, simulation, probability, and elementary differential equations. Applications to biology, sports, economics, and other areas of science. The necessary mathematical and scientific background will be developed as needed. Students participate in formulating models as well as in analyzing them. | Prerequisites: A grade of C or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 2034 or MA-UY 1044 (formerly MA-UY 3044) or MA-UY 3054).

Mathematics (Undergraduate)
4 credits – 15 Weeks

Discrete Mathematics (MA-UY 2314)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu,Mon,Wed

Logic, proofs, set theory, functions, relations, asymptotic notation, recurrences, modeling computation, graph theory. | Prerequisite: Math Diagnostic Exam or MA-UY 914 (minimum calculus level required) | Prerequisite for Shanghai students: MATH-SHU 131. Note: This course and CS-GY 6003 cannot both be taken for credit.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Linear Algebra (MA-UY 3044)

Systems of linear equations, Gaussian elimination, matrices, determinants, Cramer’s rule. Vectors, vector spaces, basis and dimension, linear transformations. Eigenvalues, eigenvectors, and quadratic forms. Restricted to Tandon math and CS majors and students with a permission code from the math department. Fulfills linear algebra requirement for the BS Math and BS CS degrees. Note: Not open to students who have already taken MA-UY 1533, MA-UY 2034, MA-UY 3113 or MA-UY 3054. | Prerequisite: A grade of C or better in MA-UY 1022 or MA-UY 1024 or MA-UY 1324 or MATH-UH 1012Q or MATH-UH 1013Q or MATH-SHU 121 or MATH-SHU 201

Mathematics (Undergraduate)
4 credits – 14 Weeks

Sections (Fall 2024)


MA-UY 3044-000 (6775)09/03/2024 – 12/12/2024 Mon,Wed9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Raquepas, Renaud


MA-UY 3044-000 (6776)09/03/2024 – 12/12/2024 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6777)09/03/2024 – 12/12/2024 Fri3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6778)09/03/2024 – 12/12/2024 Thu8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6779)09/03/2024 – 12/12/2024 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6780)09/03/2024 – 12/12/2024 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at OnlineInstructed by Sanfratello, Andrew


MA-UY 3044-000 (6781)09/03/2024 – 12/12/2024 Fri4:00 PM – 6:00 PM (Late afternoon)at OnlineInstructed by


MA-UY 3044-000 (6782)09/03/2024 – 12/12/2024 Fri9:00 AM – 10:00 AM (Morning)at OnlineInstructed by


MA-UY 3044-000 (6783)09/03/2024 – 12/12/2024 Fri4:00 PM – 6:00 PM (Late afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6784)09/03/2024 – 12/12/2024 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6785)09/03/2024 – 12/12/2024 Tue,Thu8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Majmudar, Trushant


MA-UY 3044-000 (6786)09/03/2024 – 12/12/2024 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6787)09/03/2024 – 12/12/2024 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6788)09/03/2024 – 12/12/2024 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6789)09/03/2024 – 12/12/2024 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6790)09/03/2024 – 12/12/2024 Tue,Thu4:00 PM – 6:00 PM (Late afternoon)at Washington SquareInstructed by Sanfratello, Andrew


MA-UY 3044-000 (6791)09/03/2024 – 12/12/2024 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6792)09/03/2024 – 12/12/2024 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6793)09/03/2024 – 12/12/2024 Fri3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (6794)09/03/2024 – 12/12/2024 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by


MA-UY 3044-000 (18499)09/03/2024 – 12/12/2024 Mon,Wed8:00 AM – 9:00 AM (Morning)at Brooklyn CampusInstructed by Diaz-Alban, Jose


MA-UY 3044-000 (18500)09/03/2024 – 12/12/2024 Fri9:00 AM – 10:00 AM (Morning)at Brooklyn CampusInstructed by


MA-UY 3044-000 (6795)09/03/2024 – 12/12/2024 Mon,Wed8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Pillaud-Vivien, Loucas


MA-UY 3044-000 (6796)09/03/2024 – 12/12/2024 Tue8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6797)09/03/2024 – 12/12/2024 Tue8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6798)09/03/2024 – 12/12/2024 Thu8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by


MA-UY 3044-000 (6799)09/03/2024 – 12/12/2024 Thu8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by

Advanced Linear Algebra and Complex Variables (MA-UY 3113)

This course provides a deeper understanding of topics introduced in MA-UY 2012 and MA-UY 2034 and continues the development of those topics, while also covering functions of a Complex Variable. Topics covered include: The Gram-Schmidt process, inner product spaces and applications, singular value decomposition, LU decomposition. Derivatives and Cauchy-Riemann equations, integrals and Cauchy integral theorem. Power and Laurent Series, residue theory. | Prerequisites: (MA-UY 2114 or MA-UY 2514) AND (MA-UY 2034). Note: Not open to students who have taken MA-UY 1533, MA-UY 3112 or MA-UY 4433.

Mathematics (Undergraduate)
3 credits – 14 Weeks

Sections (Fall 2025)


MA-UY 3113-000 (5390)09/02/2025 – 12/11/2025 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by

Calculus III: Multi-Dimensional Calculus (MA-UY 2114)

Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed

Vectors in the plane and space. Partial derivatives with applications, especially Lagrange multipliers. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorems of Gauss and Stokes. | Prerequisite: MA-UY 1124 or MA-UY 1424. Anti-requisite: MA-UY 2514

Mathematics (Undergraduate)
4 credits – 15 Weeks

Linear Algebra and Differential Equations (MA-UY 2034)

Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu
Credits: 4
Duration: 15 Weeks
Dates: Tue,Thu

MA-UY 2034 is an introduction to ordinary differential equations and linear algebra. The course develops the techniques for the analytic and numeric solutions of ordinary differential equations (and systems) that are widely used in modern engineering and science. Linear algebra is used as a tool for solving systems of linear equations as well as for understanding the structure of solutions to linear (systems) of differential equations. Topics covered include the fundamental concepts of linear algebra such as Gaussian elimination, matrix theory, linear transformations, vector spaces, subspaces, basis, eigenvectors, eigenvalues and the diagonalization of matrices, as well as the techniques for the analytic and numeric solutions of ordinary differential equations (and systems) that commonly appear in modern engineering and science. | Prerequisite: MA-UY 1124 or MA-UY 1424. Note: Not open to students who have taken MA-UY 1044 or MA-UY 3054 or MA-UY 3083 or MA-UY 4204.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Introduction to Probability (MA-UY 2233)

Standard first course in probability, recommended for those planning further work in probability or statistics. Probability of events, random variables and expectations, discrete and continuous distributions, joint and conditional distributions, moment generating functions, the central limit theorem. | Prerequisites: MA-UY 109, MA-UY 2112, OR MA-UY 2114. Note: Not open to students who have taken MA-UY 2224 or MA-UY 3012 or MA-UY 3022.

Mathematics (Undergraduate)
3 credits – 15 Weeks

Sections (Fall 2020)


MA-UY 2233-000 (17510)09/02/2020 – 12/13/2020 Mon,Wed3:00 PM – 4:00 PM (Late afternoon)at Brooklyn CampusInstructed by


MA-UY 2233-000 (17987)09/02/2020 – 12/13/2020 Fri9:00 AM – 10:00 AM (Morning)at Brooklyn CampusInstructed by

Data Structures and Algorithms (CS-UY 1134)

Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri
Credits: 4
Duration: 15 Weeks
Dates: Mon,Wed,Fri

This course covers abstract data types and the implementation and use of standard data structures along with fundamental algorithms and the basics of algorithm analysis. Not open to students who have taken CS-UY 2134. | Prerequisite for Brooklyn Students: CS-UY 1114 or CS-UY 1121 (C- or better) | Prerequisite for Abu Dhabi Students: CS-UH 1001 or ENGR-UH 1000 | Prerequisite for Shanghai Students: CSCI-SHU 101 | Corequisite for all Students: EX-UY 1

Computer Science (Undergraduate)
4 credits – 15 Weeks

Quantitative Reasoning: From Data to Discovery (CORE-UA 9111)

Today’s technology enables us to collect massive amounts of data, such as images of distant planets, the ups and downs of the economy, and the patterns of our tweets and online behavior. How do we use data to discover new insights about our world? This course introduces ideas and techniques in modern data analysis, including statistical inference, machine learning models, and computer programming. The course is hands-on and data-centric; students will analyze a variety of datasets, including those from the internet and New York City. By the end of the course, students will be able to (1) apply quantitative thinking to data sets; (2) critically evaluate the conclusions of data analyses; and (3) use computing tools to explore, analyze, and visualize data. Throughout the course, we will also examine issues such as data privacy and ethics

College Core Curriculum (Undergraduate)
4 credits – 14 Weeks

Sections (Fall 2022)


CORE-UA 9111-000 (18965)09/01/2022 – 12/07/2022 Mon12:00 AM – 3:00 PM (Early afternoon)at NYU Accra (Global)Instructed by


CORE-UA 9111-000 (22967)at NYU Accra (Global)Instructed by

Quantitative Reasoning: From Data to Discovery (CORE-UA 111)

College Core Curriculum (Undergraduate)
4 credits – 15 Weeks

Sections (Spring 2022)


CORE-UA 111-000 (9469)01/24/2022 – 05/09/2022 Tue,Thu3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Clarkson, Corrin


CORE-UA 111-000 (21464)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Kotwal, Adit


CORE-UA 111-000 (21465)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Kotwal, Adit


CORE-UA 111-000 (21466)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Mishra, Prerna


CORE-UA 111-000 (21467)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Mishra, Prerna

Quantitative Reasoning: Great Ideas in Mathematics (CORE-UA 110)

For course description, please consult the College Core Curriculum website: http://core.cas.nyu.edu

College Core Curriculum (Undergraduate)
4 credits – 15 Weeks

Sections (Spring 2022)


CORE-UA 110-000 (8659)01/24/2022 – 05/09/2022 Mon,Wed8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Sanfratello, Andrew


CORE-UA 110-000 (8660)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Sinha, Sid


CORE-UA 110-000 (8661)01/24/2022 – 05/09/2022 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Sinha, Sid


CORE-UA 110-000 (8662)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Zhu, Randy


CORE-UA 110-000 (8663)01/24/2022 – 05/09/2022 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Zhu, Randy