Archives

Intro Numerical Analysis (MA-UY 4424)

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

In numerical analysis one explores how mathematical problems can be analyzed and solved with a computer. As such, numerical analysis has very broad applications in mathematics, physics, engineering, finance, and the life sciences. This course gives an introduction to this subject for mathematics majors. Theory and practical examples using Matlab will be combined to study a range of topics ranging from simple root-finding procedures to differential equations and the finite element method. | Prerequisites: A grade of C or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 1044 or MA-UY 3034 or MA-UY 3054 or MA-UY 3113) | Anti-Requisite: MA-UY 4524
Mathematics (Undergraduate)
4 credits – 15 Weeks

Spring 2026 Undergraduate

Probability and Statistics for Engineers (MA-UY 2224)

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

An introductory course to probability and statistics. It affords the student some acquaintance with both probability and statistics in a single term. Topics in Probability include mathematical treatment of chance; combinatorics; binomial, Poisson, and Gaussian distributions; the Central Limit Theorem and the normal approximation. Topics in Statistics include sampling distributions of sample mean and sample variance; normal, t-, and Chi-square distributions; confidence intervals; testing of hypotheses; least squares regression model. Applications to scientific, industrial, and financial data are integrated into the course.NOTE: Not open to math majors or students who have taken or will take MA-UY 2054 or MA-UY 3014 or MA-UY 3514 or ECE-UY 2233. | Prerequisite: MA-UY 1124, MA-UY1424, or MA-UY 1132 or MATH-UH 1020 or MATH-UH 1021 or MATH-SHU 151

Mathematics (Undergraduate)
4 credits – 15 Weeks

Fall 2025 IMA Electives IMA Electives (Legacy Structure - Programming & Data) Spring 2026 Undergraduate

Basic Practice of Statistics for Social Science (MA-UY 1414)

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

We are inundated by data, but data alone do not translate into useful information. Statistics provides the means for organizing, summarizing, and therefore better analyzing data so that we can understand what the data tell us about critical questions. If one collects data then understanding how to use statistical methods is critical, but it is also necessary to understand and interpret all the information we consume on a daily basis. This course provides these basic statistical approaches and techniques. This course may not be acceptable as a substitute for any other Probability and Statistics course. For Sustainable Urban Environments (SUE) students, please see your advisor. Note: Not open to math majors or students who have taken or will take MA-UY 2054 or MA-UY 2224 or MA-UY 3014 or MA-UY 3514 or ECE-UY 2233 or equivalent.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Fall 2025 Liberal Arts & Sciences - Electives Quantitative Reasoning Societies & the Social Sciences Spring 2025 Spring 2026 Undergraduate

Applied Partial Differential Equations (MA-UY 4414)

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

This course gives an overview of PDEs that occur commonly in the physical sciences with applications in heat flow, wave propagation, and fluid flow. Analytical as well as some numerical solution techniques will be covered, with a focus on applications rather than analysis. | Prerequisites: MA-UY 2034 or MA-UY 4204 or MA-UY 4254

Mathematics (Undergraduate)
4 credits – 15 Weeks

Spring 2026 Undergraduate

Applied Analysis (MA-UY 4614)

Limits of real and complex sequences and series; topology of metric spaces; continuity and differentiability of functions; definition, properties, and approximations of Riemann integrals; convergence of sequences and series of functions; Fourier series and other orthogonal systems of functions, approximations theorems. | Prerequisites: (MA-UY 2114 or MA-UY 2514) and (MA-UY 1044 or MA-UY 2034 or MA-UY 3034 or MA-UY 3054) and Junior level standing or above. | Anti-Requisite: MA-UY 4644

Mathematics (Undergraduate)
4 credits – 14 Weeks

Sections (Fall 2025)

MA-UY 4614-000 (5340)09/02/2025 – 12/11/2025 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by

MA-UY 4614-000 (5341)09/02/2025 – 12/11/2025 Fri2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by

Fall 2025 Quantitative Reasoning Undergraduate
Fall 2020 Fall 2021 Fall 2024 Spring 2021 Spring 2023 Spring 2024 Spring 2025

Basic Practice of Statistics for Social Science (MA-UY 2414)

We are inundated by data, but data alone do not translate into useful information. Statistics provides the means for organizing, summarizing, and therefore better analyzing data so that we can understand what the data tell us about critical questions. If one collects data then understanding how to use statistical methods is critical, but it is also necessary to understand and interpret all the information we consume on a daily basis. This course provides these basic statistical approaches and techniques. This course may not be acceptable as a substitute for any other Probability and Statistics course. For Sustainable Urban Environments (SUE) students, please see your advisor. Note: Not open to math majors or students who have taken or will take MA-UY 2054 or MA-UY 2224 or MA-UY 3014 or MA-UY 3514 or ECE-UY 2233 or equivalent.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Sections (Spring 2025)

MA-UY 2414-000 (9798)01/21/2025 – 05/06/2025 Tue,Thu4:00 PM – 5:00 PM (Late afternoon)at Brooklyn CampusInstructed by Spizzirri, NIcholas

Quantitative Reasoning Undergraduate
Fall 2020 Fall 2021 Spring 2021 Spring 2023 Spring 2024 Summer 2021 Summer 2023 Summer 2024

Integrated Calculus I for Engineers (MA-UY 1324)

This course covers: Library of Functions, functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rules, the chain rule, applications of the chain rule, maxima and minima, optimization. The definite integral, the Fundamental Theorem of Calculus and interpretations, theorems about definite integrals, anti-derivatives. MA-UY 1324 is for students who wish to take MA-UY 1024 but need more review of precalculus. MA-UY 1324 covers the same material as MA-UY 1024 but with more contact hours per week, incorporating a full discussion of the required precalculus topics. | Prerequisite: Placement Exam or MA-UY 912 or MA-UY 914. Corequisite: EX-UY 1.

Mathematics (Undergraduate)
4 credits – 6 Weeks

Sections (Summer 2024)

MA-UY 1324-000 (3727)05/20/2024 – 07/02/2024 Mon,Tue,Thu8:00 AM – 12:00 AM (Morning)at Brooklyn CampusInstructed by Prabhu, Vaishali

Quantitative Reasoning Undergraduate

Calculus II for Engineers (MA-UY 1124)

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

This course covers techniques of integration, introduction to ordinary differential equations, improper integrals, numerical methods of integration, applications of integration, sequences, series, power series, approximations of functions via Taylor polynomials, Taylor series, functions of two variables, graphs of functions of two variables, contour diagrams, linear functions, functions of three variables. | Prerequisites: MA-UY 1024 or MA-UY 1324 | Corequisite: EX-UY 1.

Mathematics (Undergraduate)
4 credits – 15 Weeks

Fall 2025 Quantitative Reasoning Spring 2026 Undergraduate
Fall 2020 Fall 2021 Spring 2021 Spring 2023 Spring 2024 Summer 2021 Summer 2023 Summer 2024

Integrated Calculus II for Engineers (MA-UY 1424)

This course MA-UY 1424 is for students who wish to take MA-UY 1124 but need more review of precalculus. MA-UY 1424 covers the same material as MA-UY 1124 but with more contact hours a week, incorporating a full discussion of the required precalculus topics. | Prerequisites: MA-UY 1022 or MA-UY 1024 or MA-UY 1324. Note: credit for this course may be used to satisfy the minimum credit requirement for graduation. Corequisite: EX-UY 1

Mathematics (Undergraduate)
4 credits – 6 Weeks

Sections (Summer 2024)

MA-UY 1424-000 (3745)05/20/2024 – 07/02/2024 Mon,Tue,Thu8:00 AM – 12:00 AM (Morning)at Brooklyn CampusInstructed by Van Wagenen, Lindsey

MA-UY 1424-000 (3746)07/03/2024 – 08/15/2024 Mon,Tue,Thu9:00 AM – 12:00 AM (Morning)at Brooklyn CampusInstructed by Gbedemah, Amakoe

Quantitative Reasoning Undergraduate

Calculus I for Engineers (MA-UY 1024)

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

This course covers: Library of Functions, functions of one variable. Limits, derivatives of functions defined by graphs, tables and formulas, differentiation rules for power, polynomial, exponential and logarithmic functions, derivatives of trigonometric functions, the product and quotient rules, the chain rule, applications of the chain rule, maxima and minima, optimization. The definite integral, the Fundamental Theorem of Calculus and interpretations, theorems about definite integrals, anti-derivatives. | Prerequisite: Placement Exam or MA-UY 914 | Corequisite: EX-UY 1

Mathematics (Undergraduate)
4 credits – 15 Weeks

Quantitative Reasoning Spring 2026 Undergraduate
Fall 2020

Precalculus for Engineers (MA-UY 914)

This course covers: foundations of algebra, exponents, multiplication of algebraic expressions, factoring algebraic expressions, working with algebraic fractions, proportionality, rates of change, equations of lines, completing squares, the quadratic formula, solving equations, systems of linear equations, inequalities, domain and range of functions, exponential and logarithmic functions, compositions of functions, transformations of functions, right triangles, trigonometry of triangles.| Prerequisite: placement exam. Note: credit for this course may not be used to satisfy the minimum credit requirement for graduation. Corequisite: EX-UY 1

Mathematics (Undergraduate)
4 credits – 15 Weeks

Sections (Fall 2020)

MA-UY 914-000 (17134)09/02/2020 – 12/13/2020 Mon,Wed8:00 AM – 10:00 AM (Morning)at Brooklyn CampusInstructed by

MA-UY 914-000 (17135)09/02/2020 – 12/13/2020 Tue,Thu2:00 PM – 4:00 PM (Early afternoon)at Brooklyn CampusInstructed by

MA-UY 914-000 (17532)09/02/2020 – 12/13/2020 Mon,Wed11:00 AM – 1:00 PM (Morning)at Brooklyn CampusInstructed by

MA-UY 914-000 (17668)09/02/2020 – 12/13/2020 Tue,Thu5:00 PM – 7:00 PM (Late afternoon)at Brooklyn CampusInstructed by

Quantitative Reasoning

Honors Calculus III (MA-UY 2514)

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

Similar to MA-UY 2114 Calculus III, but at a faster pace and deeper level. Functions of several variables. 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. Theorem of Gauss and Stokes. Students pursuing an honors mathematics degree are especially encouraged to consider this course. Prerequisite: (MA-UY 1124 or MA-UY 1424) with a grade of A- or better OR a 5 on the AP Calculus BC Exam and Department Permission. Anti-requisite: MA-UY 2114

Mathematics (Undergraduate)
4 credits – 15 Weeks

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

Applied Probability (MA-UY 3014)

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

An introduction to the mathematical treatment of random phenomena occurring in the natural, physical, and social sciences. Axioms of mathematical probability, combinatorial analysis, binomial distribution, Poisson and normal approximation, random variables and probability distributions, generating functions, the Central Limit Theorem and Laws of Large Numbers, Markov Chains, and basic stochastic processes. Note: Not open to students who have taken MA-UY 2224, MA-UY 2233, ECE-UY 2233 or MA-UY 3022 | Prerequisite: A grade of C or better in (MA-UY 2114 or MA-UY 2514) and (MA-UY 1044 or MA-UY 2034 or MA-UY 3034 or MA-UY 3054).

Mathematics (Undergraduate)
4 credits – 15 Weeks

Spring 2026 Undergraduate

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

Fall 2025 Liberal Arts & Sciences - Electives Quantitative Reasoning Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate