Category Archives: Spring 2026

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

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

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

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

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

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

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

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

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

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

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

Fall 2025 IMA Electives IMA Electives (Legacy Structure - Programming & Data) Liberal Arts & Sciences - Electives Quantitative Reasoning Spring 2026 Undergraduate

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

Fall 2025 Quantitative Reasoning Spring 2026 Undergraduate

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

Fall 2025 Quantitative Reasoning Spring 2026 Undergraduate

Signals and Systems (ECE-UY 3054)

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

This course centers on linear system theory for analog and digital systems; linearity, causality and time invariance; impulse response, convolution and stability; the Laplace, z- transforms and applications to Linear Time Invariant (LTI) systems; frequency response, analog and digital filter design. Topics also include Fourier Series, Fourier Transforms and the sampling theorem. Weekly computer-laboratory projects use analysis- and design-computer packages. The course establishes foundations of linear systems theory needed in future courses; use of math packages to solve problems and simulate systems; and analog and digital filter design. | Prerequisites for Brooklyn Engineering Students: MA-UY 1044, MA-UY 2012/2132 or MA-UY 2034. | Prerequisites for Abu Dhabi Students: MATH-AD 116 and MATH-AD 121. | Prerequisites for Shanghai Students: MATH-SHU 124 and MATH-SHU 140. ABET competencies a, b, c, e, k.

Elect. Engineering – ECE UGRD (Undergraduate)
4 credits – 15 Weeks

Fall 2025 IMA Electives IMA Electives (Legacy Structure - Physical Computing & Experimental Interfaces) IMA Electives (Legacy Structure - Programming & Data) Spring 2026 Undergraduate

Communication Networks (ECE-UY 3613)

Credits: 3
Duration: 15 Weeks
Dates: Tue,Thu

This course develops basic techniques used in communication networks. After protocol layering is introduced, algorithms and protocols are discussed for use in each of the five layers: physical, data link, network, transport and application. Specific protocols such as TCP/IP, ATM, SS7 are included. | Prerequisite for Brooklyn Engineering Students: Junior status in electrical engineering, computer engineering, or computer science. Co-requisites for Brooklyn Engineering Students: ECE-UY 2233 (EE majors) or MA-UY 2224 (CompE/CS majors) | Prerequisites for Abu Dhabi Students: ENGR-AD 194 (or co-req of MA-UY 3113) and ENGR-AD 195 (or co-req of ECE-UY 2233) . ABET competencies: a, c, e.

Elect. Engineering – ECE UGRD (Undergraduate)
3 credits – 15 Weeks

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

Fundamentals of Electronics I (ECE-UY 3114)

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

This course focuses on circuit models and amplifier frequency response, op-amps, difference amplifier, voltage-to-current converter, slew rate, full-power bandwidth, common-mode rejection, frequency response of closed-loop amplifier, gain-bandwidth product rule, diodes, limiters, clamps and semiconductor physics. Other topics include Bipolar Junction Transistors; small-signal models, cut-off, saturation and active regions; common emitter, common base and emitter-follower amplifier configurations; Field-Effect Transistors (MOSFET and JFET); biasing; small-signal models; common-source and common gate amplifiers; and integrated circuit MOS amplifiers. The alternate-week laboratory experiments on OP-AMP applications, BJT biasing, large signal operation and FET characteristics. The course studies design and analysis of operational amplifiers; small-signal bipolar junction transistor and field-effect transistor amplifiers; diode circuits; differential pair amplifiers and semiconductor device- physics fundamentals. | Prerequisites for Brooklyn Engineering Students: EE-UY 2024 or EE-UY 2004 (C- or better) and PH-UY 2023 | Prerequisites for Abu Dhabi Students: ENGR-AD 214 and SCIEN-AD 110. | Prerequisites for Shanghai Students: EENG-SHU 251 (C- or better) and PHYS-SHU 93 or CCSC-SHU 51. ABET competencies a, b, c, e, k.

Elect. Engineering – ECE UGRD (Undergraduate)
4 credits – 15 Weeks

Fall 2025 IMA Electives IMA Electives (Legacy Structure - Physical Computing & Experimental Interfaces) Spring 2026 Undergraduate

Introduction to Electrical and Computer Engineering (ECE-UY 1002)

Credits: 2
Duration: 15 Weeks
Dates: Wed

This course introduces numerous subject areas in Electrical and Computer Engineering (power systems, electronics, computer networking, microprocessors, digital logic, embedded systems, communications, feedback control, and signal processing). Through a series of case studies and examples, the course demonstrates how each subject area applies to practical, real-world systems and devices and discusses how the areas interact with each other to implement a complete functioning system or device. Students make presentations in teams on case studies based on articles from the IEEE Spectrum Magazine and other sources. The IEEE Code of Ethics and ethics-related issues are discussed. | ABET criteria: i, h. | Prerequisites: First-year standing

Elect. Engineering – ECE UGRD (Undergraduate)
2 credits – 15 Weeks

Spring 2026 Undergraduate