Formulation and analysis of mathematical models. Mathematical tools include dimensional analysis, optimization, simulation, probability, and elementary differential equations. Applications to biology, economics, other areas of science. The necessary mathematical and scientific background is developed as needed. Students participate in formulating models as well as in analyzing them.
Math (Undergraduate)
4 credits – 15 Weeks
Many laws of physics are formulated as partial differential equations. This course discusses the simplest examples of such laws as embodied in the wave equation, the diffusion equation, and Laplace?s equation. Nonlinear conservation laws and the theory of shock waves. Applications to physics, chemistry, biology, and population dynamics. Prerequisite: prerequisite for MATH-UA 263
Math (Undergraduate)
4 credits – 14 Weeks
MATH-UA 9263-000 (10132)01/26/2023 – 05/05/2023 Mon,Wed9:00 AM – 10:00 AM (Morning)at NYU Paris (Global)Instructed by Lebovits, Joachim
MATH-UA 9263-000 (10310)01/26/2023 – 05/05/2023 Mon,Wed10:00 AM – 11:00 AM (Morning)at NYU Paris (Global)Instructed by Lebovits, Joachim
This honors section of Linear Algebra is a proof-based course intended for well-prepared students who have already developed some mathematical maturity and ease with abstraction. Its scope will include the usual Linear Algebra (MATH-UA 140) syllabus; however this class will be faster, more abstract and proof-based, covering additional topics. Topics covered are: Vector spaces, linear dependence, basis and dimension, matrices, determinants, solving linear equations, linear transformations, eigenvalues and eigenvectors, diagonalization, inner products, applications.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 148-000 (9196)01/24/2022 – 05/09/2022 Mon,Wed11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Cao, Norman
MATH-UA 148-000 (10147)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Rilloraza, Paco
The scope of this honors class will include the usual MATH-UA 123 syllabus; however this class will move faster, covering additional topics and going deeper. 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.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 129-000 (9309)01/24/2022 – 05/09/2022 Tue,Thu12:00 AM – 2:00 PM (Early afternoon)at Washington SquareInstructed by Serfaty, Sylvia
Prerequisites: a grade of C or better in Honors Analysis I (MATH-UA 328), or a grade of A in Analysis (MATH-UA 325) and permission of instructor. Continuation of Honors Analysis I (MATH-UA 328). Topics include: metric spaces, differentiation of functions of several real variables, the implicit and inverse function theorems, Riemann integral on R^n, Lebesgue measure on R^n, the Lebesgue integral.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 329-000 (8889)01/24/2022 – 05/09/2022 Tue,Thu12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Gunturk, C Sinan
MATH-UA 329-000 (8890)01/24/2022 – 05/09/2022 Fri3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Mui, Stephanie
Prerequisites: a grade of C or better in Honors Algebra I (MATH-UA 348), or a grade of A in Algebra (MATH-UA 343) and permission of instructor. Principal ideal domains, polynomial rings in several variables, unique factorization domains. Fields, finite extensions, constructions with ruler and compass, Galois theory, solvability by radicals.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 349-000 (8887)01/24/2022 – 05/09/2022 Tue,Thu11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Goodman, Jonathan
MATH-UA 349-000 (8888)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Charyyev, Jumageldi
Prerequisite: A grade of C or higher in Calculus III (MATH-UA 123) or Math for Economics III (MATH-UA 213) (for economics majors). Recommended: Mathematical Physics (PHYS-UA 106). Fluid dynamics is the branch of physics that can describe the flow of blood in the human body, the flight of an insect, or the motions of weather systems. Key concepts include: the formalism of continuum mechanics; the conservation of mass, energy, and momentum in a fluid; the Euler and Navier-Stokes equations; and viscosity and vorticity. These concepts are applied to such classic problems in fluid dynamics as potential flow around a cylinder, the propagation of sound and gravity waves, and the onset of instability in shear flow.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 230-000 (8755)01/24/2022 – 05/09/2022 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Sreenivasan, Katepalli Raju
MATH-UA 230-000 (8802)at Washington SquareInstructed by
MATH-UA 230-000 (25084)01/24/2022 – 05/09/2022 Mon3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Dsa, Remston
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.
Math (Undergraduate)
4 credits – 15 Weeks
Further topics in vector calculus. Vector spaces, matrix analysis. Linear and nonlinear programming with applications to game theory. This course will provide economics students who have taken MATH-UA 211 Mathematics for Economics I and MATH-UA 212 Mathematics for Economics II with the tools to take higher-level mathematics courses.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 213-000 (8764)01/24/2022 – 05/09/2022 Mon,Wed9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Majmudar, Trushant S.
MATH-UA 213-000 (8765)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Kreiner, Aaron
MATH-UA 213-000 (8766)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Kreiner, Aaron
MATH-UA 213-000 (10146)at Washington SquareInstructed by
MATH-UA 213-000 (25303)01/24/2022 – 05/09/2022 Mon,Wed2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Normand, Raoul
MATH-UA 213-000 (25304)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Chen, Zhe
MATH-UA 213-000 (25305)01/24/2022 – 05/09/2022 Fri8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Chen, Zhe
Prerequisite: A grade of C or higher in Calculus I (MATH-UA 121) or Math for Economics II (MATH-UA 212) (for economics majors), and General Physics (PHYS-UA 11). Simulations of such phenomena as orbits (Kepler problem and N-body problem), epidemic and endemic disease (including evolution in response to the selective pressure of malaria), musical stringed instruments (piano, guitar, and violin), and traffic flow in a city (with lights, breakdowns, and gridlock). Simulations are based on mathematical models, numerical methods, and Matlab programming techniques taught in class. Emphasizes use of animation (and sound where appropriate) to present the results of simulations.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 144-000 (8767)01/24/2022 – 05/09/2022 Tue,Thu11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Sprinkle, Brennan
MATH-UA 144-000 (8771)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Li, Guanchun
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.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 343-000 (8402)01/24/2022 – 05/09/2022 Tue,Thu11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Pigati, Alessandro
MATH-UA 343-000 (8403)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Cortes, Julian
MATH-UA 343-000 (8756)01/24/2022 – 05/09/2022 Mon,Wed12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Chiarelli, John
MATH-UA 343-000 (8757)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Cortes, Julian
The differential properties of curves and surfaces. Introduction to manifolds and Riemannian geometry.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 377-000 (9183)01/24/2022 – 05/09/2022 Tue,Thu11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Yang, Deane
MATH-UA 377-000 (9184)01/24/2022 – 05/09/2022 Mon8:00 AM – 9:00 AM (Morning)at Washington SquareInstructed by Han, Hancya
Complex numbers and complex functions. Differentiation and the Cauchy-Riemann equations. Cauchy?s theorem and the Cauchy integral formula. Singularities, residues, Taylor and Laurent series. Fractional linear transformations and conformal mapping. Analytic continuation.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 282-000 (8398)01/24/2022 – 05/09/2022 Tue,Thu3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Becker, Simon
MATH-UA 282-000 (8399)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Thoma, Eric
MATH-UA 282-000 (10621)01/24/2022 – 05/09/2022 Fri3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Thoma, Eric
This course is an introduction to rigorous analysis on the real line. Topics include: the real number system, sequences and series of numbers, functions of a real variable (continuity and differentiability), the Riemann integral, basic topological notions in a metric space, sequences and series of functions including Taylor and Fourier series.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 325-000 (8400)01/24/2022 – 05/09/2022 Tue,Thu12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by De Philippis, Guido
MATH-UA 325-000 (8401)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Peilen, Luke
MATH-UA 325-000 (10138)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Peilen, Luke
MATH-UA 325-000 (10139)01/24/2022 – 05/09/2022 Mon,Wed9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Li, Weilin
MATH-UA 325-000 (10140)01/24/2022 – 05/09/2022 Fri9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Beekie, Raj
MATH-UA 325-000 (10141)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Beekie, Raj
MATH-UA 325-000 (10135)01/24/2022 – 05/09/2022 Mon,Wed11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Cao, Yu
MATH-UA 325-000 (10136)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Hess-Childs, Elias
MATH-UA 325-000 (10137)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Hess-Childs, Elias
MATH-UA 325-000 (10627)01/24/2022 – 05/09/2022 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Li, Weilin
MATH-UA 325-000 (10628)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Semenov, Vadim
MATH-UA 325-000 (10629)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Semenov, Vadim
Introduces the student of biology or mathematics to the use of computers as tools for modeling physiological phenomena. The student constructs two computer models selected from the following list: circulation, gas exchange in the lung, control of cell volume, and the renal countercurrent mechanism. The student then uses the model to conduct simulated physiological experiments.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 256-000 (20798)01/24/2022 – 05/09/2022 Tue,Thu2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Peskin, Charles
MATH-UA 256-000 (20799)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Washington SquareInstructed by Maxian, Ondrej
Topics include fixed points of one-dimensional maps; linear operators and linear approximations; stability and bifurcation; logistic maps. Cantor set, fractal sets, symbolic dynamics, conjugacy of maps. Dynamics in two dimensions. Introduction for students with little preparation to the recent discovery that, in certain regimes, fully deterministic mechanics can produce chaotic behavior.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 264-000 (8396)01/24/2022 – 05/09/2022 Mon,Wed11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Ampatzoglou, Ioakeim
MATH-UA 264-000 (8397)01/24/2022 – 05/09/2022 Fri12:00 AM – 1:00 PM (Early afternoon)at Washington SquareInstructed by Li, Guanchun
Introduction to the mathematics of finance. Topics: linear programming with application to pricing. Interest rates and present value. Basic probability, random walks, central limit theorem, Brownian motion, log-normal model of stock prices. Black-Scholes theory of options. Dynamic programming with application to portfolio optimization.
Math (Undergraduate)
4 credits – 15 Weeks
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 introduces the subject for mathematics majors. Theory and practical examples using Matlab are combined in the studying of topics ranging from simple root-finding procedures to differential equations and the finite element method.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 252-000 (8390)at Washington SquareInstructed by
MATH-UA 252-000 (8391)at Washington SquareInstructed by
MATH-UA 252-000 (9168)01/24/2022 – 05/09/2022 Tue,Thu9:00 AM – 10:00 AM (Morning)at Washington SquareInstructed by Stadler, Georg
MATH-UA 252-000 (9169)01/24/2022 – 05/09/2022 Fri11:00 AM – 12:00 AM (Morning)at Washington SquareInstructed by Toler, Evan
MATH-UA 252-000 (9405)01/24/2022 – 05/09/2022 Mon,Wed3:00 PM – 4:00 PM (Late afternoon)at Brooklyn CampusInstructed by Potter, Samuel
MATH-UA 252-000 (9406)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by Martinez Aguilar, Mariana
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.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 240-000 (8386)01/24/2022 – 05/09/2022 Mon,Wed3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Bogomolov, Fedor
MATH-UA 240-000 (8387)01/24/2022 – 05/09/2022 Fri3:00 PM – 4:00 PM (Late afternoon)at Washington SquareInstructed by Kazi, Sujay
Divisibility and prime numbers. Linear and quadratic congruences. The classical number-theoretic functions. Continued fractions. Diophantine equations.
Math (Undergraduate)
4 credits – 15 Weeks
MATH-UA 248-000 (10470)01/24/2022 – 05/09/2022 Mon,Wed2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by Staccone, Matteo
MATH-UA 248-000 (10471)01/24/2022 – 05/09/2022 Fri2:00 PM – 3:00 PM (Early afternoon)at Brooklyn CampusInstructed by Feuer, Benjamin