Undergraduate Mathematics Yeshiva College and Stern College for Women Colloquia and Seminars Artificial Intelligence Biotechnology Computer Science Cybersecurity Data Analytics and Visualization Digital Marketing and Media Mathematics Occupational Therapy Physician Assistant Physics Speech-Language Pathology Mathematics TraditionMathematics has an illustrious tradition at ÿÈÕ´ó¹Ï, with notable alumni including , , , and . Today's programs in the Mathematical Sciences continue offering a high-class education, as well as research opportunities.Mathematics ProfessionMathematicians are trained to analyze data and apply mathematical and statistical techniques to solve real-world 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 ever-increasing number of job postings in the recent years. Graduates with a strong mathematics background are necessary in pretty much every industry and sub-discipline. Tech firms increasingly rely on mathematicians for cutting-edge projects such as artificial intelligence and machine learning. FacultyThe 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.ProgramsBA in Mathematical SciencesAreas of specialization: pure and applied mathematics, computational science, pre-actuarial and financial mathematics. BA/MA ProgramAdmissions criteria: Junior standing and a minimum GPA of 3.2.Pre-requisites: Calculus I,II, Multivariable Calculus, and Linear Algebra with a grade of B+ or betterGraduate 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 SciencesPhD in Mathematical SciencesAdvanced Degrees and CareersRecent graduates pursue advanced degrees in mathematics and related fields in top graduate schools, or work in top companies:Graduate SchoolsYale University, MIT, Harvard University, Cornell University, Columbia University, Weill Cornell Medicine, Mount Sinai, Penn State, Boston University, ÿÈÕ´ó¹Ï.CareersGoogle, Facebook, Goldman Sachs, JP Morgan Chase, American Express, Morgan Stanley, Capital One, BlackRock, Milliman, PricewaterhouseCoopers, Accenture.Recent student achievementsDr. Samuel Akingbade (PhD in Mathematics at ÿÈÕ´ó¹Ï in 2024) is pursuing a postdoctoral assistant professor position at University of Michigan.Dr. Wai-Ting Lam (PhD in Mathematics at ÿÈÕ´ó¹Ï in 2021) is pursuing a Postdoctoral Fellowship (MPS-ASCEND) awarded by the National Science Foundation.Yonah Moise (Math Major) is pursuing a graduate program in Mathematics at Tufts University.Yedidya Moise (Math Major) is pursuing a graduate program in Applied Mathematics & Statistics, and Scientific Computation (AMSC) at University of Maryland.Semyon Lomasov (Math Major) is pursuing a MS program at Stanford University.Tamar Leiser (Math Major) is pursuing a Mechanical Engineering Master's Program at Rutgers UniversityElisheva Siegfried (MA mathematics) is pursuing a PhD Program in Applied Mathematics at Northwestern University.Liteshwar Rao (MA Mathematics) has been admitted into the PhD program at Max Planck Institute, Berlin, Germany.Eliyahou Amsellem (MA mathematics) is pursuing a career as investment analyst with San Francisco Ridge Ventures.Oluwaseun Owodoulou (MA Mathematics) is pursuing a career as a math teacher at Roosevelt Children’s Academy Charter School.REU (Research Experiences for Undergraduates)Topic: Computational Dynamics and TopologyPeriod: Summer 2023REU webpage: REU Computational Dynamics and Topology 2023 | ÿÈÕ´ó¹Ï (yu.edu)Capstone/Internship at Standard and Poor’s GlobalTopic: Machine learning methods for time series of macroeconomic variablesPeriod: May-August 2024Contact: Marian.Gidea@yu.eduNewsThe paintings of Professor Edward Belbruno have been displayed at the European Space Agency Paris Headquarters/news/yu/perfect-marriage-art-and-scienceProf. Wenxiong Chen's book "The Fractional Laplacian" jointly with Yan Li (PhD ÿÈÕ´ó¹Ï, USA) and Pei Ma (Nanjing Forestry University, China) is among the Top 10 Bestsellers in Mathematics Published in 2020 Professor Marian Gidea has been interviewed by Quanta magazine Professor Antonella Marini has been elected as a member of the American Women in Mathematics Sadosky Prize committeeProfessor Marian Gidea has been interviewed by Fox BusinessProfessor Edward Belbruno has a recent podcast hosted by People Behind the Science: ContactProf. Antonella Marini, Chair Programs Information About the Yeshiva College Program "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, high-energy physics, plasma dynamics, space-mission 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. About the Stern College Program 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 pre-actuarial 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 cross-listed 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 business-related computing and information technology. First-year 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 pre-engineering 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. Courses 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 pre-actuarial/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 CoursesSTAT 1021 Introduction to Statistics 3 creditsSources 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 two-sample problems: estimation, hypothesis testing. Chi-square.MATH 1010 Excursions in Mathematics 3 creditsThis course is intended for non-science 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 creditsNumber 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 creditsThis course is designed for students majoring in biology, pre-health 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: Pre-Calculus—high school Algebra and Trigonometry.MATH 1412, 1413 Calculus I, II 4 creditsFirst 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 creditsBoolean 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 creditsLimits 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 creditsReal 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 creditsFamiliarizes 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 creditsAnalytic functions, Cauchy Riemann equations, Cauchy integral formula, residue theory, conformal mappings.Prerequisite: MATH 1520 or permission of the instructor.MATH 2105 Linear Algebra 3 creditsSystems 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 creditsProperties of integers, Euclidean algorithm, unique factorization, arithmetic functions, perfect numbers, linear and quadratic congruences, public-key encryption.MATH 2215 Modern Algebra 3 creditsBasic concepts of an algebraic system, a sub-system, a factor-system, 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 creditsDiscrete 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 creditsApplication of probability theory to the classical parametric models: moment-generating functions, chi-square 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 creditsClassification of differential equations; existence and uniqueness of solutions; initial-value problems, boundary-value problems; power series methods, integral transforms; numerical algorithms and error estimation; topological methods. Prerequisite: MAT 1413.MATH 2651 Numerical Analysis 3 creditsFinite difference calculus; numerical solution of differential equations and linear systems of equations; iterative methods; computation of eigenvalues and eigenvectors. Advanced elective.Prerequisite: MATH 1413MATH 2901 Mathematics of Finance 3 creditsDiscrete models for options, pricing derivatives, continuous stock price models, Brownian motion, the Black-Scholes formula, the Black-Scholes 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. Requirements Mathematics MajorRequirements:Mathematics Major (Specialization in Pure and Applied Mathematics – 13 courses): Required: 8 required courses MAT-1412 Calculus-I MAT-1413 Calculus-II MAT-1510 Multivariable Calculus MAT-2105 Linear AlgebraMAT-2461 Probability TheoryMAT-2601 Ordinary Differential Equations (or MAT-5209* Ordinary Differential Equation)MAT-1520 Advanced Calculus-I (or MAT-5300* Introduction to Analysis)MAT-1504 Discrete Mathematics and Applications Electives: 3 elective courses in advanced mathematics (MAT-1500 or higher, or graduate mathematics). Recommended courses include: MAT-2462 Mathematical Statistics (or MAT-5002* Computational Statistics and Probability)MAT-1521 Advanced Calculus-II (or MAT-5651* Functions of a Real Variable)MAT-1540 Functions of a Complex Variable (or MAT-5405* Functions of a Complex Variable)MAT-2170 Topology (or MAT-5310* Topology)MAT-2215 Modern Algebra (or MAT-5253* Modern Algebra)MAT-2602 Partial Differential Equations (or MAT-5340* Partial Differential Equations) Correlates: 2 correlate courses from the following areas: MAT 1000-4999, COM 1000-4999, IDS 1000-4999 (recommended: IDS 1400, 1556, 2020, 2030, 2460, 2550, 3800)Mathematics Major (Specialization in Computational Science –13 courses): Required: 8 required courses in mathematics MAT-1412 Calculus-I MAT-1413 Calculus-II MAT-1510 Multivariable CalculusMAT-2105 Linear AlgebraMAT-2461 Probability TheoryMAT-2601 Ordinary Differential Equations (or MAT-5209* Ordinary Differential Equation)MAT-2462 Mathematical Statistics (or MAT-5002* Computational Statistics and Probability)MAT-2651 Numerical Methods (or MAT-5003* Numerical Methods) Elective: 4 elective courses in computer science or advanced mathematics. Recommended courses include: COM-1300 Introduction to Computer Science COM-1310 Mathematics for Computer Science (or COM-1504 Discrete Structures)COM-1320 Data StructuresCOM-2545 Algorithms COM-3920 Machine Learning COM-3921 Applied Machine Learning Correlates: 1 correlate course from the following areas: MAT 1000-4999, COM 1000-4999, IDS 1000-4999 (recommended: IDS 1400, 1556, 2020, 2030, 2460, 2550, 3800)Mathematics Major (Specialization in Actuarial and Financial Mathematics – 13 courses): Required: 8 required courses in mathematics MAT-1412 Calculus-IMAT-1413 Calculus-II MAT-1510 Multivariable CalculusMAT-2105 Linear AlgebraMAT-2461 Probability TheoryMAT-2601 Ordinary Differential Equations (or MAT-5209* Ordinary Differential Equation)MAT-2462 Mathematical Statistics (or MAT-5002* Computational Statistics and Probability)MAT-2901 Mathematics of Finance (MAT-5640* Mathematics of Finance) Elective: 4 elective courses in economics or business intelligence and marketing analytics or advanced mathematics. Recommended courses include: ECO-1010 Principles of Economics ECO-1101 Intermediate MicroeconomicsECO-1201 Intermediate MacroeconomicsECO-1421 EconometricsECO-1601 Economic DevelopmentACC-1001 Accounting Principles ACC-1002 Accounting Principles FIN-1001 Principles of FinanceIDS-2030 Business Analytics and ProgrammingIDS-2550 Business Intelligence and Consumer InsightsIDS-3000 Business Intelligence ProjectsIDS-2160 Decision ModelsIDS-2020 Data Visualization Correlates: 1 correlate course from the following areas: MAT 1000-4999, COM 1000-4999, IDS 1000-4999 (recommended: IDS 1400, 1556, 2020, 2030, 2460, 2550, 3800)Mathematics Minors (6 courses): Required: 4 required courses MAT-1412 Calculus-I MAT-1413 Calculus-II MAT-1510 Multivariable CalculusMAT-2105 Linear Algebra Electives: 2 elective courses in advanced mathematics (MAT-1500 or higher).For more details about the Mathematics major and minor - see the factsheet at the Academic Advisement webpage. Faculty Edward BelbrunoClinical Professor of Mathematics (W)PhD, New York UniversityResearch interests: celestial mechanics, chaos theory, dynamical systems,aerospace engineering, cosmology (big bang singularity).Contact: edward.belbruno@yu.eduWenxiong ChenProfessor of MathematicsPhD, Academia SinicaResearch interests: nonlinear elliptic partial differential equations, fractional Laplacians,and other non-local operators, nonlinear functional analysis, and geometric analysis.Contact: wchen@yu.eduMichael DalezmanAssistant Professor of Mathematics PhD, New York UniversityResearch Interests: number theory.Contact: dalezma@yu.eduMarian GideaProfessor of Mathematics, Director of the Graduate Program PhD, SUNY at BuffaloResearch interests: dynamical systems, chaos theory, celestial mechanics,and applications to mathematical physics, astrodynamics, mathematical biology,and financial mathematics.Contact: marian.gidea@yu.eduSteven GindiPostdoctoral FellowPhD, Stony Brook UniversityResearch interests: differential geometry and mathematical physics - Ricci flow, pluriclosed flow, holomorphic twistor spaces, bihermitian geometry,generalized geometry, Poisson geometry.Contact: steven.gindi@yu.eduMiroslav IovanovAssociate Professor of MathematicsPhD, SUNY at BuffaloResearch interests: algebra and related fields, more specifically, including noncommutative algebra and ring theory, Hopf algebras and quantum groups, representation theory, category theory, combinatorics/discrete math, linear algebra, as well as homological algebra and category theory, topology and combinatorics. Contact: miodrag.iovanov@yu.eduAntonella Marini, Chair Professor of Mathematics PhD, University of ChicagoResearch interests: partial differential equations and applications to high-energy physics.Contact: marini@yu.edu Resources 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 ÿÈÕ´ó¹Ï, which accepts no responsibility for their content. Tutoring Tutoring at Yeshiva College is available via Tutoring in mathematics at Stern College for Women is available via Research Software created by a faculty member at the University of New Mexico. 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 A listing maintained by a professor at Purdue University. From the American Statistical Association. From the American Mathematical Society. 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