Undergraduate Mathematics
Yeshiva College and Stern College for Women
Mathematics Tradition
Mathematics has an illustrious tradition at Yeshiva University, with notable alumni including Michael Aizenman, Hillel Furstenberg, Charles Peskin, and Benjamin Weiss. Today's programs in the Mathematical Sciences continue offering a highclass education, as well as research opportunities.
Mathematics Profession
Mathematicians are trained to analyze data and apply mathematical and statistical techniques to solve realworld problems in business, engineering, healthcare, or other fields. They typically work in teams with other professionals to develop models, interpret data, make projections, solve optimization problems. Interdisciplinary skills, such as in physics, economics, computer science, or biology, can be helpful in applying mathematics to other fields.
Careers in mathematics are among the best jobs of tomorrow, in terms of income, growth outlook, and environmental factors. Mathematicians have experienced an everincreasing number of job postings in the recent years. Graduates with a strong mathematics background are necessary in pretty much every industry and subdiscipline. Tech firms increasingly rely on mathematicians for cuttingedge projects such as artificial intelligence and machine learning.
Faculty
The math faculty teach at both undergraduate campuses and in the Katz School of Science and Health graduate programs. They are well recognized for their research, including a Humboldt Research Award and external funding from National Science Foundation (NSF), National Institute of Health (NIH), National Cancer Institute (NCI), National Aeronautics and Space Administration (NASA), Simons Foundation, and the Sloan Foundation. Several faculty have published research monographs and textbooks.
Programs
BA in Mathematical Sciences
 Areas of specialization: pure and applied mathematics, computational science, preactuarial and financial mathematics.
BA/MA Program
 Admissions criteria: Junior standing and a minimum GPA of 3.2.
 Prerequisites: Calculus I,II, Multivariable Calculus, and Linear Algebra with a grade of B+ or better
 Graduate course limit: Students in the BA/MA Program can take up to 12 math graduate credits towards both the BA and the MA degree.
MA in Mathematical Sciences
PhD in Mathematical Sciences
Advanced Degrees and Careers
Recent graduates pursue advanced degrees in mathematics and related fields in top graduate schools, or work in top companies:
Graduate Schools
 Yale University, MIT, Harvard University, Cornell University, Columbia University, Weill Cornell Medicine, Mount Sinai, Penn State, Boston University, Yeshiva University.
Careers
 Google, Facebook, Goldman Sachs, JP Morgan Chase, American Express, Morgan Stanley, Capital One, BlackRock, Milliman, PricewaterhouseCoopers, Accenture.
News and Announcements
NSF Postdoctoral Fellowship

Dr. WaiTing Lam (PhD in Mathematics at Yeshiva University in 2021) has been awarded
a Postdoctoral Fellowship (MPSASCEND) by the National Science Foundation.
Podcast
 Professor Edward Belbruno has a recent podcast hosted by People Behind the Science:
612: Dr. Ed Belbruno: Studying How Objects Move in Space and Determining Low Energy Paths to the Moon and Mars  People Behind the Science Podcast
Bestseller Book
 Prof. Wenxiong Chen's book "The Fractional Laplacian" jointly with Yan Li (Yeshiva University, USA) and Pei Ma (Nanjing Forestry University, China) is among the Top 10 Bestsellers in Mathematics Published in 2020.
REU (Research Experiences for Undergraduates)
 Computational Dynamics and Topology
 Summer 2023
 REU webpage: REU Computational Dynamics and Topology 2023  Yeshiva University (yu.edu)
Capstone/Internship at Standard and Poor’s Global
 Smart Tagging – Extraction of Credit Action signals from S&P Ratings Research Articles
 Starting in June 2021
 For details, contact Marian.Gidea@yu.edu
Recent student achievements
 Rujie Gu has been accepted into the PhD in Mathematics Program at University of California at Irvine.
 David Friedenberg has been accepted into the PhD in Physics Program at Texas A & M University.
 Ariella Mermelstein will give a presentation to the 58th Congress of the European Renal Association – European Dialysis and Transplant Association, June 2021.
 Avigayil Helman and Elia Lejzerkowicz have been accepted into the Columbia University Engineering Program.
 Jack Rubin has been accepted into the graduate program in Operations Research at Columbia University.
 Gabrielle Kupferman has been accepted to the MD Anderson Cancer Prevention Research Training Program.
Contact
Prof. Antonella Marini, Chair
marini@yu.edu
Programs Information
"Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field."
—Paul Dirac (1902–1984)
The Mathematics major at Yeshiva College includes the options of specialized tracks in computer science and actuarial science, and a BA/MA program. Alumni have been accepted to graduate programs at Harvard University, Yale University, Princeton University, Massachusetts Institute of Technology, Brown University, Columbia University, Hebrew University, Courant Institute of Mathematical Sciences at New York University, University of California at Berkeley, Carnegie Mellon University, Rutgers University, the University of California at Los Angeles, and the University of Pennsylvania. Industrial employers of alumni include Google, Citigroup, Travelers Insurance, Merrill Lynch, Deutsche Bank, Northrup Grumman, Deloitte and Touche, Goldman Sachs, Ernst & Young Actuarial Group, and many others. In addition, graduates in the mathematical sciences have served in various advisory capacities, such as the President’s Council of Economic Advisors.
The faculty of the Department of Mathematical Sciences teach at both undergraduate campuses and in The Katz School of Science and Health graduate programs. Topics of faculty research include: partial differential equations, dynamical systems, functional analysis, operator theory, geometric analysis, nonlinear analysis, computational time series analysis, financial mathematics, data science, highenergy physics, plasma dynamics, spacemission design, computational astrophysics, theory of elasticity, mathematical biology, integral equations, and group theory. The research of department faculty has been funded by the National Science Foundation, the National Cancer Institute, the National Aeronautics and Space Administration, the National Institute of Health, and the Department of the Navy. Several of the department faculty have published textbooks in their field.
Stern College for Women has a variety of programs for students interested in the mathematical sciences, which include pure and applied mathematics, industrial mathematics, and scientific programming.
Students interested in industrial applications of mathematics may select the preactuarial track, which prepares students for the initial professional examinations for insurance actuaries. The first of these examinations may be used to satisfy the college’s exit requirement. The Career Center will assist in the placement of suitably prepared students in actuarial internships during the summer preceding their senior year. An undergraduate major in mathematics, supplemented by courses in economics, computer science and business, is also excellent preparation for graduate study in finance or quantitative economics and careers in the financial services industry. Courses in economics, computer science, and physics may be applied to an undergraduate degree in mathematics as correlate courses.
Students who are interested in links between mathematics and computer science may take crosslisted courses in scientific computing, discrete mathematics, and numerical analysis. As many as four computer science courses will be accepted as advanced electives for the mathematics major. A minor in computer science is also offered. Students have the option of pursuing shaped majors that include training in businessrelated computing and information technology.
Firstyear graduate courses in mathematics are open to suitably qualified undergraduates. These currently include courses in risk management and other topics of industrial interest, as well as courses in pure and applied mathematics.
In addition to the Katz graduate program, students may also apply for the BA/MA program, in which they will receive credit toward both the BA and MA degrees for up to 12 credits of graduate courses.
Finally, mathematics is an excellent major for preengineering students. Students in the college’s joint engineering programs with Columbia University or the State University of New York at Stony Brook may combine degrees in Computer Science or Computer Engineering at those institutions with a mathematics major at Stern College for Women.
Please see the Schedule of Classes for the current semester’s offerings.
The department of mathematical sciences offers the following degrees: BA in Mathematics (including a preactuarial/financial mathematics track), BA/MA in Mathematics (students can receive up to 12 credit hours of graduate courses towards the BA degree, and the remaining graduate courses up to 30 credit hours towards the MA), MA in Mathematics (30 credit hours), and PhD in Mathematics.
Graduate courses in mathematics are open to undergraduate students who successfully completed multivariable calculus and linear algebra.
A mathematics placement examination is required of all students planning to take Math. Students must take this test before registering for MATH 1412.
Mathematics Courses
 STAT 1021 Introduction to Statistics 3 credits
Sources of data; descriptive statistics: data display, univariate measures of location and variability; basic probability, normal curve and its applications; correlation and regression. Sampling distributions. Inferential procedures in one and twosample problems: estimation, hypothesis testing. Chisquare.  MATH 1010 Excursions in Mathematics 3 credits
This course is intended for nonscience majors and Education majors. Several topics will be taught in depth from the following list: Sets of numbers, geometry, elements of probability and statistics, consumer mathematics, linear programming.  MATH 1160 Precalculus 4 credits
Number systems, functions, equations, and inequalities; algebra of polynomials, exponentials, and logarithms; analytic geometry of lines and circles; vectors, trigonometry, and complex numbers. (lecture: 3 hours; recitation: 2 hours).
Prerequisites: two years of high school mathematics and placement by examination.  MATH 1410 Fundamentals of Calculus 4 credits
This course is designed for students majoring in biology, prehealth sciences, or any other major except mathematics, computer science, physics, engineering, chemistry, and physical sciences. Topics include functions, limits, derivatives, and integrals, and problem solving methods, including optimization and related rates problems. Emphasis is placed on developing and interpreting models from a variety of disciplines, on analyzing data, and on graphing and numerical computations. (lecture: 3 hours; recitation: 1 hour).
Prerequisite: PreCalculus—high school Algebra and Trigonometry.  MATH 1412, 1413 Calculus I, II 4 credits
First semester: limits, derivatives, and integrals; continuous and differentiable functions, mean value theorem, chain rule, implicit differentiation. Applications: curve sketching, maxima and minima, related rates, motion, area. Trigonometric, inverse trigonometric, logarithmic and exponential functions. Second semester: methods of integration, area, moments, volume. Indeterminate forms, improper integrals, sequences and series. Parametric equations, arc length and polar coordinates. (lecture: 3 hours; recitation: 2 hours).
Prerequisites: three years of high school mathematics and placement by examination or MATH 1160.  MATH 1504 Discrete Structures 4 credits
Boolean algebra and predicate calculus; proof methods; sets, functions, and relations; combinatorics; graph theory and algorithms; mathematical induction and recursion; probability and average case analysis of algorithms. (lecture: 3 hours; recitation: 2 hours)
Prerequisite: three years of high school mathematics.  MATH 1510 Multivariable Calculus 4 credits
Limits and continuity in Euclidean spaces; partial derivatives, gradient, and chain rule; maxima and minima with constraints; multiple integrals, cylindrical and spherical coordinates; vector calculus; theorems of Green, Gauss, and Stokes.
Prerequisite: MATH 1413.  MATH 1520, 1521 Advanced Calculus I, II 3 credits
Real numbers; theorems on limits; continuous, differentiable, and integrable functions; sequences and series of functions; metric space methods, fixed points, existence theorems for differential equations; implicit function theorem.
Prerequisites: MATH 1413 and permission of the instructor.  MATH 1523 Introduction to Analysis 3 credits
Familiarizes students with analytic tools and ideas that are of practical significance for a variety of applications along with an awareness of the foundations, interrelations, and limitations of those methods.
Prerequisites: MATH 1510, 2105.  MATH 1540 Functions of a Complex Variable 3 credits
Analytic functions, Cauchy Riemann equations, Cauchy integral formula, residue theory, conformal mappings.
Prerequisite: MATH 1520 or permission of the instructor.  MATH 2105 Linear Algebra 3 credits
Systems of linear equations, Gaussian elimination, matrices, matrix algebra; vector spaces, linear transformations, similarity; inner product spaces; determinants; eigenvalues and eigenvectors, diagonalization; quadratic forms; canonical forms; spectral theory; applications.
Prerequisite: MAT 1412.  MATH 2168 Elementary Number Theory 3 credits
Properties of integers, Euclidean algorithm, unique factorization, arithmetic functions, perfect numbers, linear and quadratic congruences, publickey encryption.  MATH 2215 Modern Algebra 3 credits
Basic concepts of an algebraic system, a subsystem, a factorsystem, an isomorphism and a homomorphism. Examples and initial results from the theory of groups, rings, and fields. The second semester will be devoted to advanced topics, including recent developments.
Prerequisite: MATH 2105 or permission of the instructor.  MATH 2461 Probability Theory 3 credits
Discrete and continuous sample spaces; combinatorial analysis; density and distribution functions of random variables; expectation and variance; independence and conditional probability; law of large numbers; central limit theorem; generating functions; random walk and ruin problems.
Prerequisite: MATH 1413.  MATH 2462 Mathematical Statistics 3 credits
Application of probability theory to the classical parametric models: momentgenerating functions, chisquare and t distributions, central limit theorem, sampling distributions, maximum likelihood and interval estimation, confidence intervals, hypothesis testing; nonparametric models; the Bayesian controversy. Examples from natural science and social and behavioral research.
Prerequisite: MATH 2461.  MATH 2601 Differential Equations 3 credits
Classification of differential equations; existence and uniqueness of solutions; initialvalue problems, boundaryvalue problems; power series methods, integral transforms; numerical algorithms and error estimation; topological methods. Prerequisite: MAT 1413.  MATH 2651 Numerical Analysis 3 credits
Finite difference calculus; numerical solution of differential equations and linear systems of equations; iterative methods; computation of eigenvalues and eigenvectors. Advanced elective.
Prerequisite: MATH 1413  MATH 2901 Mathematics of Finance 3 credits
Discrete models for options, pricing derivatives, continuous stock price models, Brownian motion, the BlackScholes formula, the BlackScholes differential equation, hedging options, dynamic programming, bond price models, yield curves, forwards and futures, Keynes interest rate parity formula.
Prerequisite: familiarity with differential equations.  MATH 3301, 3302, 3303, 3304 Topics in Modern Mathematics 3 credits.
Selected subjects in analysis, algebra, geometry, actuarial, and applied mathematics. Students may register for up to four semesters with permission of the Department Chair.
Prerequisites: junior status and permission of the instructor.
Mathematics Major
Requirements:
 Mathematics Major (Specialization in Pure and Applied Mathematics – 13 courses):

 Required: 7 required courses


 MAT1412 CalculusI
 MAT1413 CalculusII
 MAT1510 Multivariable Calculus
 MAT2105 Linear Algebra
 MAT2601 Differential Equations
 MAT1520 Advanced CalculusI (or MAT5300* Introduction to Analysis)
 MAT2461 Probability Theory


 Electives: 4 elective courses in advanced mathematics (MAT1500 or higher, or graduate mathematics). Recommended courses include:


 MAT1504 Discrete Structures
 MAT2462 Mathematical Statistics
 MAT1521 Advanced CalculusII (or MAT5301* Real Analysis)
 MAT1540 Functions of a Complex Variable (or MAT5405* Functions of a Complex Variable)
 MAT2215 Modern Algebra (or MAT5339* Algebra)


 Correlates: 2 correlate courses from computer science, or graduate mathematics, artificial intelligence, data analytics and visualization.
 Mathematics Major (Specialization in Computational Science –
13 courses):

 Required: 7 required courses in mathematics


 MAT1412 CalculusI
 MAT1413 CalculusII
 MAT1510 Multivariable Calculus
 MAT2105 Linear Algebra
 MAT2461 Probability Theory
 MAT2462 Mathematical Statistics
 MAT2651 Numerical Analysis (or MAT5400* Scientific Computing)


 Elective: 4 elective courses in computer science or advanced mathematics. Recommended courses include:


 COM1300 Introduction to Computer Science
 COM1310 Mathematics for Computer Science (or COM1504 Discrete Structures or MAT1504 Discrete Structures)
 COM1320 Data Structures
 COM2545 Algorithms
 COM3920 Machine Learning


 Correlates: 2 correlate courses from computer science, or advanced mathematics, artificial intelligence, data analytics and visualization.
 Mathematics Major (Specialization in Actuarial and Financial Mathematics – 13 courses):

 Required: 7 required courses in mathematics


 MAT1412 CalculusI
 MAT1413 CalculusII
 MAT1510 Multivariable Calculus
 MAT2105 Linear Algebra
 MAT2461 Probability Theory
 MAT2462 Mathematical Statistics
 MAT2901 Mathematics of Finance (MAT5640* Mathematics of Finance)


 Elective: 4 elective courses in economics or business intelligence and marketing analytics or advanced mathematics. Recommended courses include:


 ECO1010 Principles of Economics
 ECO1101 Intermediate Microeconomics
 ECO1201 Intermediate Macroeconomics
 ECO1421 Econometrics
 ECO2601 Financial Economics
 ACC1001 Accounting Principles
 ACC1002 Accounting Principles
 FIN1001 Principles of Finance
 IDS2030 Business Analytics and Programming
 IDS2550 Business Intelligence and Consumer Insights
 IDS3000 Business Intelligence Projects
 IDS2160 Decision Models
 IDS2020 Data Visualization


 Correlates: 2 correlate courses from economics or advanced mathematics, artificial intelligence, data analytics and visualization.
 Mathematics Minors (6 courses):

 Required: 4 required courses


 MAT1412 CalculusI
 MAT1413 CalculusII
 MAT1510 Multivariable Calculus
 MAT2105 Linear Algebra


 Electives: 2 elective courses in mathematics numbered MAT1500 or higher.
For more details about the Mathematics major and minor  see the factsheet at the Academic Advisement webpage.
The following list includes faculty who teach at the Beren (B) and/or Wilf (W)
 Edward Belbruno
Clinical Professor of Mathematics (W)
PhD, New York University
Research interests: celestial mechanics, chaos theory, dynamical systems,
aerospace engineering, cosmology (big bang singularity).
Contact: edward.belbruno@yu.edu  Wenxiong Chen
Professor of Mathematics
PhD, Academia Sinica
Research interests: nonlinear elliptic partial differential equations, fractional Laplacians,
and other nonlocal operators, nonlinear functional analysis, and geometric analysis.
Contact: wchen@yu.edu  Michael Dalezman
Assistant Professor of Mathematics (B)
PhD, New York University
Research Interests: number theory.
Contact: dalezma@yu.edu  Marian Gidea
Professor of Mathematics, Director of the Graduate Program (B)(W)
PhD, SUNY Buffalo
Research interests: dynamical systems, chaos theory, celestial mechanics,
and applications to mathematical physics, astrodynamics, mathematical biology,
and financial mathematics.
Contact: marian.gidea@yu.edu  Morton Lowengrub
Professor and Provost Emeritus
PhD, Duke University
Research interests: nonlinear partial differential equations and integral equations
with applications on crack problems in elasticity theory; system of integral equations,
double and triple integral equations, and mixed boundary value problems.
Contact: lowengru@yu.edu  Antonella Marini, Chair (W)
Professor of Mathematics (W)
PhD, University of Chicago
Research interests: partial differential equations and applications to highenergy physics.
Contact: marini@yu.edu  Peter Nandori
Assistant Professor of Mathematics (B)
PhD, Technical University of Budapest
Research interests: hyperbolic dynamical systems, probability theory
and mathematical statistical physics.
Contact: peter.nandori@yu.edu  Pablo Roldan
Assistant Professor of Mathematics (B, W)
PhD, Universitat Politecnica de Catalunya
Research interests: differential equations and dynamical systems (Hamiltonian systems),
highperformance computing, mathematics of finance.
Contact: pablo.roldan@yu.edu  Neer Asherie
Affiliate Faculty, Professor of Physics (W)
PhD, Massachusetts Institute of Technology
Research interests: protein phase behavior and selfassembly.
Contact: asherie@yu.edu  Sergey Buldyrev
Affiliate Faculty, Professor of Physics (W)
PhD, Saint Petersburg State University
Research interests: thermodynamics and statistical mechanics, classical mechanics,
computational physics, and the theory of complex systems.
Contact: buldyrev@yu.edu  Gabriel Cwilich
Affiliate Faculty, Professor of Physics (W)
PhD, Rutgers University
Research interests: disordered systems.
Contact: cwilich@yu.edu  Avi Giloni
Affiliate Faculty, Sy Syms School of Business
PhD, New York University
Research interests: optimization and mathematical applications to operations management.
Contact: agiloni@yu.edu  Mark Edelman
Affiliate Faculty, Clinical Associate Professor of Physics (B)
PhD, Odessa University
Research interests: research in nonlinear dynamics that includes, fractional dynamical systems,
numerical experiments in chaos.
Contact: medelma1@yu.edu  Yuri Katz
Affiliate Faculty, Standard and Poor's Global Market Intelligence
PhD, Russian Academy of Sciences, Novosibirsk
Research interests: financial applications of cognitive computational platforms,
riskvaluation solutions, timeseries analysis, 'big data' and predictive financial analytics,
topological data analysis, climate finance.
Contact: yuri.katz@yu.edu  Emil Prodan
Affiliate Faculty, Professor of Physics (B)
PhD, Rice University
Research interests: mathematical physics, specifically, operator theory, spectral analysis
and constructive quantum field formalism, rigorous mathematics and computer simulations
to study the physics of the condensed matter.
Contact: prodan@yu.edu  Lea Santos
Affiliate Faculty, Professor of Physics (B)
PhD, University of Sao Paulo
Research interests: manybody quantum systems, nonequilibrium quantum dynamics,
thermalization, quantum transport, quantum chaos, spin systems, manybody localization,
quantum phase transition, quantum control, dynamical decoupling methods, decoherence,
quantumclassical transition.
Contact: lsantos2@yu.edu  Fredy Zypman
Affiliate Faculty, Professor of Physics (W)
PhD, Case Western Reserve University
Research interests: image reconstruction with scanning probe microscopes,
atomistic modeling of materials, quantum optics, and mathematical optimization.
Contact: zypman@yu.edu  WaiTing Lam
Adjunct Instructor of Mathematics (B)
MS, University of Southern California, PhD Candidate
Research interests: dynamical systems, celestial mechanics, applications to astrodynamics.
Contact: WaiTing.Lam@yu.edu  Maxwell Musser
Adjunct Instructor of Mathematics (B, W)
MS, City College of New York, PhD Candidate
Research interests: dynamical systems (Hamiltonian systems).
Contact: mmusser@mail.yu.edu  David Pahmer
Instructor of Jewish Studies
Adjunct Instructor of Mathematics (B)
Ed.D., Yeshiva University
Research interests: methodology of Torah Sheb'al Peh, time laws and concepts, science, philosophy of science, and rationality.
Contact: pahmer@yu.edu  Julio Kuplinsky
Adjunct Assistant Professor of Mathematics
In addition, the department continues to employ advanced undergraduate students as graders, tutors and lab assistants. Students who are interested in such activities should contact the department chair.
Please note: Links to external sites are offered as a convenience to visitors, as a starting point for exploration. Such sites are neither endorsed nor regulated by Yeshiva University, which accepts no responsibility for their content.
Tutoring
 Tutoring at Yeshiva College is available via Peer Tutoring, Yeshiva College
 Tutoring in mathematics at Stern College for Women is available via Tutoring  Math/Calculus
Research
 Interactive Models of the Hyperbolic Plane
 Software created by a faculty member at the University of New Mexico.
 Kolmogorov
Links and resources related to the work of the great Soviet mathematician.  Grothendieck
Links and resources related to the work of the great algebraic geometer.
Internships
 Mathematics Internships
A listing maintained by a professor at Purdue University.  Internships, Scholarships, and Awards
From the American Statistical Association.  Internships and Coop Opportunities
From the American Mathematical Society.  NASA Internships
Graduate Study
 Graduate Fellowships in Mathematics (PDF)
From the American Mathematical Society.  Graduate Fellowships in Applied Mathematics
From the Society for Industrial and Applied Mathematics.
Careers
 Careers in Mathematics
From the American Mathematical Society.  Careers in Applied Mathematics
From the Society for Applied Mathematics.  Actuarial Careers
From Be An Actuary.  Careers in Risk Management
From the Society of Actuaries.  Careers in Statistical Analysis
From the American Statistical Association