# Topology (MATH-UA 375)

Metric spaces, topological spaces, compactness, connectedness. Covering spaces and homotopy groups.

4 credits – 15 Weeks

#### Sections (Spring 2019)

MATH-UA 375-000 (9055)
01/28/2019 – 05/13/2019 Tue,Thu
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by

# Vector Analysis (MATH-UA 224)

Brief review of multivariate calculus: partial derivatives, chain rule, Riemann integral, change of variables, line integrals. Lagrange multipliers. Inverse and implicit function theorems and their applications. Introduction to calculus on manifolds: definition and examples of manifolds, tangent vectors and vector fields, differential forms, exterior derivative, line integrals and integration of forms. Gauss’ and Stokes’ theorems on manifolds.

4 credits – 15 Weeks

#### Sections (Spring 2019)

MATH-UA 224-000 (8661)
01/28/2019 – 05/13/2019 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by

MATH-UA 224-000 (8662)
01/28/2019 – 05/13/2019 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by

# Ordinary Diff Equations (MATH-UA 262)

First- and second-order equations. Series solutions. Laplace transforms. Introduction to partial differential equations and Fourier series.

4 credits – 15 Weeks

# Intro to Math Modeling (MATH-UA 251)

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.

4 credits – 15 Weeks

# Partial Differential Equations (MATH-UA 9263)

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

4 credits – 14 Weeks

#### Sections (Spring 2023)

MATH-UA 9263-000 (10132)
01/26/2023 – 05/05/2023 Mon,Wed
9:00 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,Wed
10:00 AM – 11:00 AM (Morning)
at NYU Paris (Global)
Instructed by Lebovits, Joachim

# Honors Linear Algebra (MATH-UA 148)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 148-000 (9196)
01/24/2022 – 05/09/2022 Mon,Wed
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Cao, Norman

MATH-UA 148-000 (10147)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Rilloraza, Paco

# Honors Calculus III (MATH-UA 129)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 129-000 (9309)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 2:00 PM (Early afternoon)
at Washington Square
Instructed by Serfaty, Sylvia

# Honors Analysis II (MATH-UA 329)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 329-000 (8889)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Gunturk, C Sinan

MATH-UA 329-000 (8890)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Mui, Stephanie

# Honors Algebra II (MATH-UA 349)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 349-000 (8887)
01/24/2022 – 05/09/2022 Tue,Thu
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Goodman, Jonathan

MATH-UA 349-000 (8888)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Charyyev, Jumageldi

# Introduction to Fluid Dynamics (MATH-UA 230)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 230-000 (8755)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Sreenivasan, Katepalli Raju

MATH-UA 230-000 (8802)
at Washington Square
Instructed by

MATH-UA 230-000 (25084)
01/24/2022 – 05/09/2022 Mon
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Dsa, Remston

# Honors Analysis I (MATH-UA 328)

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.

4 credits – 15 Weeks

# Mathematics for Economics III (MATH-UA 213)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 213-000 (8764)
01/24/2022 – 05/09/2022 Mon,Wed
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Majmudar, Trushant S.

MATH-UA 213-000 (8765)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Kreiner, Aaron

MATH-UA 213-000 (8766)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Kreiner, Aaron

MATH-UA 213-000 (10146)
at Washington Square
Instructed by

MATH-UA 213-000 (25303)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Normand, Raoul

MATH-UA 213-000 (25304)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Chen, Zhe

MATH-UA 213-000 (25305)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Chen, Zhe

# Introduction to Computer Simulation (MATH-UA 144)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 144-000 (8767)
01/24/2022 – 05/09/2022 Tue,Thu
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Sprinkle, Brennan

MATH-UA 144-000 (8771)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Li, Guanchun

# Algebra (MATH-UA 343)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 343-000 (8402)
01/24/2022 – 05/09/2022 Tue,Thu
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Pigati, Alessandro

MATH-UA 343-000 (8403)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Cortes, Julian

MATH-UA 343-000 (8756)
01/24/2022 – 05/09/2022 Mon,Wed
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Chiarelli, John

MATH-UA 343-000 (8757)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Cortes, Julian

# Differential Geometry (MATH-UA 377)

The differential properties of curves and surfaces. Introduction to manifolds and Riemannian geometry.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 377-000 (9183)
01/24/2022 – 05/09/2022 Tue,Thu
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Yang, Deane

MATH-UA 377-000 (9184)
01/24/2022 – 05/09/2022 Mon
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Han, Hancya

# Functions of a Complex Variable (MATH-UA 282)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 282-000 (8398)
01/24/2022 – 05/09/2022 Tue,Thu
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Becker, Simon

MATH-UA 282-000 (8399)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Thoma, Eric

MATH-UA 282-000 (10621)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Thoma, Eric

# Analysis (MATH-UA 325)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 325-000 (8400)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by De Philippis, Guido

MATH-UA 325-000 (8401)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Peilen, Luke

MATH-UA 325-000 (10138)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Peilen, Luke

MATH-UA 325-000 (10139)
01/24/2022 – 05/09/2022 Mon,Wed
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Li, Weilin

MATH-UA 325-000 (10140)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Beekie, Raj

MATH-UA 325-000 (10141)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Beekie, Raj

MATH-UA 325-000 (10135)
01/24/2022 – 05/09/2022 Mon,Wed
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Cao, Yu

MATH-UA 325-000 (10136)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Hess-Childs, Elias

MATH-UA 325-000 (10137)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Hess-Childs, Elias

MATH-UA 325-000 (10627)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Li, Weilin

MATH-UA 325-000 (10628)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Semenov, Vadim

MATH-UA 325-000 (10629)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Semenov, Vadim

# Computers in Medicine & Biology (MATH-UA 256)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 256-000 (20798)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Peskin, Charles

MATH-UA 256-000 (20799)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Maxian, Ondrej

# Chaos & Dynamical Systems (MATH-UA 264)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 264-000 (8396)
01/24/2022 – 05/09/2022 Mon,Wed
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Ampatzoglou, Ioakeim

MATH-UA 264-000 (8397)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Li, Guanchun

# Mathematics of Finance (MATH-UA 250)

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.

4 credits – 15 Weeks

# Numerical Analysis (MATH-UA 252)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 252-000 (8390)
at Washington Square
Instructed by

MATH-UA 252-000 (8391)
at Washington Square
Instructed by

MATH-UA 252-000 (9168)
01/24/2022 – 05/09/2022 Tue,Thu
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Stadler, Georg

MATH-UA 252-000 (9169)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Toler, Evan

MATH-UA 252-000 (9405)
01/24/2022 – 05/09/2022 Mon,Wed
3:00 PM – 4:00 PM (Late afternoon)
at Brooklyn Campus
Instructed by Potter, Samuel

MATH-UA 252-000 (9406)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Brooklyn Campus
Instructed by Martinez Aguilar, Mariana

# Combinatorics (MATH-UA 240)

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.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 240-000 (8386)
01/24/2022 – 05/09/2022 Mon,Wed
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Bogomolov, Fedor

MATH-UA 240-000 (8387)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Kazi, Sujay

# Theory of Numbers (MATH-UA 248)

Divisibility and prime numbers. Linear and quadratic congruences. The classical number-theoretic functions. Continued fractions. Diophantine equations.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 248-000 (10470)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Brooklyn Campus
Instructed by Staccone, Matteo

MATH-UA 248-000 (10471)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Brooklyn Campus
Instructed by Feuer, Benjamin

# Probability & Statistics (MATH-UA 235)

Prerequisite: a grade of C or better in Calculus II (MATH-UA 122) or Math for Economics II (MATH-UA 212) (for economics majors) or equivalent. Not open to students who have taken Theory of Probability (MATH-UA 233) or Mathematical Statistics (MATH-UA 234). Combination of MATH-UA 233 and 234 at a more elementary level to acquaint students with both probability and statistics in a single term. In probability: mathematical treatment of chance; combinatorics; binomial, Poisson, and Gaussian distributions; law of large numbers and the normal distribution; application to coin-tossing; radioactive decay. In statistics: sampling; normal and other useful distributions; testing of hypotheses; confidence intervals; correlation and regression; applications to scientific, industrial, and financial data.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 235-000 (8384)
01/24/2022 – 05/09/2022 Tue,Thu
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Cerfon, Antoine

MATH-UA 235-000 (8385)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Vasantha, Rajashekar

MATH-UA 235-000 (10585)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Vasantha, Rajashekar

MATH-UA 235-000 (20795)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Falconet, Hugo

MATH-UA 235-000 (20796)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Li, Sixian

MATH-UA 235-000 (20797)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Li, Sixian

MATH-UA 235-000 (26181)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Doshi, Jash Tejaskumar

# Theory of Probability (MATH-UA 233)

Introduction to the mathematical techniques 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, Markov chains, applications.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 233-000 (8695)
01/24/2022 – 05/09/2022 Tue,Thu
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Tanzi, Matteo

MATH-UA 233-000 (8696)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Zhang, Linfeng

MATH-UA 233-000 (8885)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Leibovich, Matan

MATH-UA 233-000 (9078)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Wang, Liudeng

MATH-UA 233-000 (10636)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Dunlap, Alexander

MATH-UA 233-000 (10638)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Wang, Liudeng

MATH-UA 233-000 (19808)
01/24/2022 – 05/09/2022 Tue,Thu
8:00 AM – 9:00 AM (Morning)
at Brooklyn Campus
Instructed by Stepp, Elizabeth

MATH-UA 233-000 (19809)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Brooklyn Campus
Instructed by Zhang, Linfeng

MATH-UA 233-000 (26180)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Doshi, Jash Tejaskumar

# Mathematical Statistics (MATH-UA 234)

Prerequisite: a grade of C or better in Theory of Probability (MATH-UA 233) or equivalent. Not open to students who have taken Probability and Statistics (MATH-UA 235). Introduction to the mathematical foundations and techniques of modern statistical analysis used in the interpretation of data in quantitative sciences. Mathematical theory of sampling; normal populations and distributions; chi-square, t, and F distributions; hypothesis testing; estimation; confidence intervals; sequential analysis; correlation, regression, and analysis of variance. Applications to the sciences.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 234-000 (8382)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Nitzschner, Maximilian

MATH-UA 234-000 (8383)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Plotkin, Ted

MATH-UA 234-000 (9440)
01/24/2022 – 05/09/2022 Tue,Thu
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Dies, Erik

MATH-UA 234-000 (9441)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Plotkin, Ted

# Calculus III (MATH-UA 123)

Prerequisite: MATH-UA.0122 with a grade of C or better, departmental placement exam, or permission of the department. Functions of several variables. Vectors in the plane and space. Partial derivatives with applications. Double and triple integrals. Spherical and cylindrical coordinates. Surface and line integrals. Divergence, gradient, and curl. Theorem of Gauss and Stokes.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 123-000 (8378)
01/24/2022 – 05/09/2022 Mon,Wed
8:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Normand, Raoul

MATH-UA 123-000 (9179)
01/24/2022 – 05/09/2022 Mon,Wed
12:00 AM – 2:00 PM (Early afternoon)
at Washington Square
Instructed by Ristroph, Leif

MATH-UA 123-000 (9180)
01/24/2022 – 05/09/2022 Tue,Thu
8:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Liu, Shizhu

MATH-UA 123-000 (8379)
01/24/2022 – 05/09/2022 Mon,Wed
5:00 PM – 7:00 PM (Late afternoon)
at Washington Square
Instructed by Liu, Shizhu

MATH-UA 123-000 (8380)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 2:00 PM (Early afternoon)
at Washington Square
Instructed by Leingang, Matthew

MATH-UA 123-000 (24839)
at Washington Square
Instructed by

# Linear Algebra (MATH-UA 140)

Systems of linear equations. Gaussian elimination, matrices, determinants, and Cramer?s rule. Vectors, vector spaces, basis and dimension, linear transformations. Eigenvalues, eigenvectors, quadratic forms.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 140-000 (8381)
01/24/2022 – 05/09/2022 Tue,Thu
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Hammoud, Naima

MATH-UA 140-000 (10125)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Qi, Sihan

MATH-UA 140-000 (10126)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Qi, Sihan

MATH-UA 140-000 (10127)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Li, Jiarui

MATH-UA 140-000 (10128)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Li, Jiarui

MATH-UA 140-000 (8986)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Sia, Charmaine

MATH-UA 140-000 (10129)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Li, Xuenan

MATH-UA 140-000 (10130)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Li, Xuenan

MATH-UA 140-000 (10131)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Kotwal, Adit

MATH-UA 140-000 (10132)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Kotwal, Adit

MATH-UA 140-000 (10120)
01/24/2022 – 05/09/2022 Mon,Wed
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Liu, Shizhu

MATH-UA 140-000 (10121)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Yap, Ted

MATH-UA 140-000 (10122)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Yap, Ted

MATH-UA 140-000 (10123)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Stempel, Jordan

MATH-UA 140-000 (10124)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Frank, Natalie

MATH-UA 140-000 (9777)
01/24/2022 – 05/09/2022 Mon,Wed
9:00 AM – 10:00 AM (Morning)
at Brooklyn Campus
Instructed by Hammoud, Naima

MATH-UA 140-000 (10469)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Denis, Evan

MATH-UA 140-000 (10468)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Harrington, Jeremiah

# Calculus II (MATH-UA 122)

Techniques of integration. Further applications. Plane analytic geometry. Polar coordinates and parametric equations. Infinite series, including power series.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 122-000 (8373)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 2:00 PM (Early afternoon)
at Washington Square
Instructed by Sondjaja, Mutiara

MATH-UA 122-000 (8374)
at Washington Square
Instructed by

MATH-UA 122-000 (8375)
01/24/2022 – 05/09/2022 Mon,Wed
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Shum, Fanny

MATH-UA 122-000 (8376)
01/24/2022 – 05/09/2022 Tue,Thu
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Sondjaja, Mutiara

MATH-UA 122-000 (8377)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 4:00 PM (Early afternoon)
at Washington Square
Instructed by Feklistova, Mariya

MATH-UA 122-000 (8677)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 4:00 PM (Early afternoon)
at Washington Square
Instructed by Feklistova, Mariya

MATH-UA 122-000 (10117)
01/24/2022 – 05/09/2022 Tue,Thu
5:00 PM – 7:00 PM (Late afternoon)
at Washington Square
Instructed by Flek, Ruslan

MATH-UA 122-000 (10118)
01/24/2022 – 05/09/2022 Mon,Wed
12:00 AM – 2:00 PM (Early afternoon)
at Washington Square
Instructed by Shum, Fanny

MATH-UA 122-000 (24841)
01/24/2022 – 05/09/2022 Mon,Wed
8:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Kalaycioglu, Selin

# Discrete Mathematics (MATH-UA 120)

A first course in discrete mathematics. Sets, algorithms, and induction. Combinatorics. Graphs and trees. Combinatorial circuits. Logic and Boolean algebra.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 120-000 (8370)
01/24/2022 – 05/09/2022 Mon,Wed
8:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Sia, Charmaine

MATH-UA 120-000 (8371)
01/24/2022 – 05/09/2022 Tue,Thu
2:00 PM – 4:00 PM (Early afternoon)
at Washington Square
Instructed by Flek, Ruslan

MATH-UA 120-000 (8372)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 4:00 PM (Early afternoon)
at Washington Square
Instructed by Flek, Ruslan

MATH-UA 120-000 (8694)
01/24/2022 – 05/09/2022 Tue,Thu
8:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Chikhany, Ralph

MATH-UA 120-000 (8807)
at Washington Square
Instructed by

MATH-UA 120-000 (8985)
01/24/2022 – 05/09/2022 Mon,Wed
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Leingang, Matthew

MATH-UA 120-000 (9437)
01/24/2022 – 05/09/2022 Tue,Thu
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Sanfratello, Andrew

MATH-UA 120-000 (9476)
01/24/2022 – 05/09/2022 Tue,Thu
5:00 PM – 7:00 PM (Late afternoon)
at Washington Square
Instructed by Sanfratello, Andrew

MATH-UA 120-000 (10639)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 4:00 PM (Early afternoon)
at Washington Square
Instructed by Chikhany, Ralph

MATH-UA 120-000 (24840)
01/24/2022 – 05/09/2022 Mon,Wed
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Oveys, Hesam

MATH-UA 120-000 (24904)
01/24/2022 – 05/09/2022 Mon,Wed
3:00 PM – 5:00 PM (Late afternoon)
at Washington Square
Instructed by Oveys, Hesam

MATH-UA 120-000 (26350)
01/24/2022 – 05/09/2022 Mon,Wed
10:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Clarkson, Corrin

MATH-UA 120-000 (26380)
01/24/2022 – 05/09/2022 Mon,Wed
3:00 PM – 5:00 PM (Late afternoon)
at Washington Square
Instructed by Clarkson, Corrin

# Calculus I (MATH-UA 121)

Any one of the following: a score of 670 or higher on the mathematics portion of the SAT, a score of 650 or higher on the SAT Subject Test in Mathematics 1, a score of 650 or higher on the SAT Subject Test in Mathematics 2, an ACT mathematics score of 30 or higher, a score of 3 or higher on the AP Calculus AB exam, an AB subscore of 3 or higher on the AP Calculus BC exam, a score of 3 or higher on the AP Calculus BC exam, a grade of C or higher in Algebra and Calculus (MATH-UA 9), or a passing score on a departmental placement exam. Derivatives, antiderivatives, and integrals of functions of one variable. Applications include graphing, maximizing, and minimizing functions. Definite integrals and the fundamental theorem of calculus. Areas and volumes.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 121-000 (10098)
at Washington Square
Instructed by Kalaycioglu, Selin

MATH-UA 121-000 (10099)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Saha, Shuvadeep

MATH-UA 121-000 (10100)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Saha, Shuvadeep

MATH-UA 121-000 (20793)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Patki, Sarvesh

MATH-UA 121-000 (20794)
01/24/2022 – 05/09/2022 Fri
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Patki, Sarvesh

MATH-UA 121-000 (10102)
01/24/2022 – 05/09/2022 Tue,Thu
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Foster, Joseph

MATH-UA 121-000 (10103)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by D’Agostino, Marina

MATH-UA 121-000 (10104)
01/24/2022 – 05/09/2022 Fri
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by D’Agostino, Marina

MATH-UA 121-000 (10105)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Salha, Fatima

MATH-UA 121-000 (10106)
01/24/2022 – 05/09/2022 Fri
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Salha, Fatima

MATH-UA 121-000 (10107)
01/24/2022 – 05/09/2022 Mon,Wed
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Sia, Charmaine

MATH-UA 121-000 (10108)
01/24/2022 – 05/09/2022 Thu
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Vasantha, Rajashekar

MATH-UA 121-000 (10109)
01/24/2022 – 05/09/2022 Tue
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Star, Zachary

MATH-UA 121-000 (10110)
01/24/2022 – 05/09/2022 Thu
9:00 AM – 10:00 AM (Morning)
at Washington Square
Instructed by Vasantha, Rajashekar

MATH-UA 121-000 (10111)
01/24/2022 – 05/09/2022 Tue
2:00 PM – 3:00 PM (Early afternoon)
at Washington Square
Instructed by Star, Zachary

MATH-UA 121-000 (10112)
01/24/2022 – 05/09/2022 Tue,Thu
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Foster, Joseph

MATH-UA 121-000 (10113)
01/24/2022 – 05/09/2022 Tue
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Cortes, Julian

MATH-UA 121-000 (10114)
01/24/2022 – 05/09/2022 Tue
4:00 PM – 6:00 PM (Late afternoon)
at Washington Square
Instructed by Cortes, Julian

MATH-UA 121-000 (10115)
01/24/2022 – 05/09/2022 Thu
3:00 PM – 4:00 PM (Late afternoon)
at Washington Square
Instructed by Gangan, Pradyuman

MATH-UA 121-000 (10116)
01/24/2022 – 05/09/2022 Thu
4:00 PM – 6:00 PM (Late afternoon)
at Washington Square
Instructed by Gangan, Pradyuman

# Algebra and Calculus (MATH-UA 9)

Prerequisite: Three years of high school math or permission of the department. An intensive course in intermediate algebra and trigonometry. Topics include algebraic, exponential, logarithmic, and trigonometric functions and their graphs.

4 credits – 15 Weeks

#### Sections (Spring 2022)

MATH-UA 9-000 (8365)
01/24/2022 – 05/09/2022 Tue,Thu
4:00 PM – 6:00 PM (Late afternoon)
at Washington Square
Instructed by Foster, Joseph

MATH-UA 9-000 (8366)
01/24/2022 – 05/09/2022 Fri
8:00 AM – 9:00 AM (Morning)
at Washington Square
Instructed by Zhou, Haosheng

MATH-UA 9-000 (8367)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Zhou, Haosheng

MATH-UA 9-000 (8368)
01/24/2022 – 05/09/2022 Fri
11:00 AM – 12:00 AM (Morning)
at Washington Square
Instructed by Sivakumar, Pranav Kamesh

MATH-UA 9-000 (8369)
01/24/2022 – 05/09/2022 Fri
12:00 AM – 1:00 PM (Early afternoon)
at Washington Square
Instructed by Sivakumar, Pranav Kamesh