Recommendations for students to receive Latin honors (which are awarded by the College of Arts & Sciences, not the department) are keyed to the requirements for the distinction awards, as indicated below. Prerequisites: high-school algebra and precalculus, including trigonometry. Topic may vary with each offering of the course. I started at WashU knowing I was interested in math, but I wasn't sure how I could make that into a career. Course includes necessary ideas from set theory, topological spaces, subspaces, products and quotients, compactness and connectedness. Each major links to the General Catalog, where you can learn more about its admission and graduation requirements. Scales and modular arithmetic. Time series data types; autocorrelation; stationarity and nonstationarity; autoregressive moving average models; model selection methods; bootstrap confidence intervals; trend and seasonality; forecasting; nonlinear time series; filtering and smoothing; autoregressive conditional heteroscedasticity models; multivariate time series; vector autoregression; frequency domain; spectral density; state-space models; Kalman filter. find a rich variety of research and volunteer opportunities as early as your freshman year. Qualitative theory of ordinary differential equations. It is aimed at harnessing the ever increasing amounts … Core topics include: probability in high dimensions; curses and blessings of dimensionality; concentration of measure; matrix concentration inequalities. Prerequisites: CSE 131 or 200, Math 3200 and 493, or permission of the instructor. Second Major in Computer Science + Mathematics. Statistics. Multivariable calculus. Prerequisites: Math 318 and Math 493, or permission of instructor. A&S IQ: NSM, AN A select number of international programs in English are specifically geared to mathematics students. Washington University in St. Louis 1 Brookings Drive St. Louis, MO 63130-4899. Certain approved substitutions are found on the, Core course work for all distinction awards (core course work alone earns no award), A grade-point average of at least 3.65 in upper-level mathematics (L24) courses. Washington University in St. Louis 1 Brookings Drive St. Louis, MO 63130-4899. Review of integers, ratios, prime numbers, functions, rationality, exponents, logarithms, trigonometry. Western's B.S. Options and concentrations are shown when available. ―Yaala Muller, LA '17 Student Speaker at Convocation 2016 A continuation of Math 4171 featuring more advanced topics in topology. Use Learn@Work to complete and track compliance-based training, LinkedIn Learning courses, and other professional development activities. Prerequisite: Math 132. Mathematical analysis and modeling are involved in many areas far beyond the traditional association of mathematics with the physical sciences and engineering. As time permits, additional topics may include Ramsey's Theorem, probabilistic methods in combinatorics and algebraic methods in combinatorics. This fact is reflected in the diversity of the students who study at least some mathematics during their time at Washington University — students who recognize the importance of quantitative skills in a world that becomes more and more technological. The mathematics of harmony; the sound of the low prime numbers and their roles in harmony. Our department's Math Circle is part of a nationwide math outreach program. Monte Carlo approximation. The content may vary with each offering. Data clustering. L24 Math 456 Topics in Financial Mathematics. Prerequisites: CSE 131 (or 200) and Math 449, or permission of the instructor. Classification; linear discriminant analysis. John E. McCarthy Spencer T. Olin Professor of Mathematics PhD, University of California, Berkeley Analysis; operator theory; one and several complex variables, José Figueroa-López Director of Undergraduate Studies PhD, Georgia Institute of Technology Statistics; probability and stochastic processes; mathematical finance, Brett Wick Director of Graduate Studies; Professor of Mathematics PhD, Brown University Complex analysis; harmonic analysis; operator theory; several complex variables, Soumendra Lahiri Stanley A. Sawyer Professor PhD, Michigan State University Mathematical statistics and data science, Rachel Roberts Elinor Anheuser Professor of Mathematics PhD, Cornell University Low-dimensional topology, Quo-Shin Chi PhD, Stanford University Differential geometry, Renato Feres PhD, California Institute of Technology Differential geometry; dynamical systems, José Figueroa-López PhD, Georgia Institute of Technology Statistics; probability and stochastic processes; mathematical finance, Matthew Kerr PhD, Princeton University Algebraic geometry; Hodge theory, Steven G. Krantz PhD, Princeton University Several complex variables; geometric analysis, Nan Lin PhD, University of Illinois at Urbana-Champaign Statistics, John Shareshian PhD, Rutgers University Algebraic and topological combinatorics, Xiang Tang PhD, University of California, Berkeley Symplectic geometry; noncommutative geometry; mathematical physics, Brett Wick PhD, Brown University Complex analysis; harmonic analysis; operator theory; several complex variables, Mladen Victor Wickerhauser PhD, Yale University Harmonic analysis; wavelets; numerical algorithms for data compression, Roya Beheshti Zavareh PhD, Massachusetts Institute of Technology Algebraic geometry, Jimin Ding PhD, University of California, Davis Statistics, Gregory Knese PhD, Washington University Complex function theory; operators; harmonic analysis, Todd Kuffner PhD, Imperial College London Statistics; likelihood; asymptotics; econometrics, Ari Stern PhD, California Institute of Technology Geometric numerical analysis; computational mathematics, Aliakbar Daemi PhD, Harvard University Gauge theory; low-dimensional topology; symplectic geometry, Francesco di Plinio PhD, Indiana University Bloomington Harmonic analysis; partial differential equations, Laura Escobar Vega PhD, Cornell University Combinatorics and algebraic geometry, Steven Frankel PhD, University of Cambridge Geometric topology and dynamics, Martha Precup PhD, University of Notre Dame Applications of Lie theory to algebraic geometry and the related combinatorics, Yanli Song PhD, Pennsylvania State University Noncommutative geometry; symplectic geometry; representation theory, William M. Boothby PhD, University of Michigan Differential geometry, Lawrence Conlon PhD, Harvard University Differential topology, Ron Freiwald PhD, University of Rochester General topology, Gary R. Jensen PhD, University of California, Berkeley Differential geometry, Robert McDowell PhD, Purdue University General topology, Richard Rochberg PhD, Harvard University Complex analysis; interpolation theory, Jack Shapiro PhD, City University of New York Algebraic K-theory, Edward Spitznagel PhD, University of Chicago Statistics; statistical computation; application of statistics to medicine, Guido L. Weiss PhD, University of Chicago Interpolation of operators; harmonic analysis; Lie groups, Edward N. Wilson PhD, Washington University Harmonic analysis; differential geometry, David Wright PhD, Columbia University Affine algebraic geometry; polynomial automorphisms, Michael Landry PhD, Yale University Low-dimensional geometry and topology, Majid Noroozi PhD, University of Central Florida Data science and machine learning, Andrew Walton Green PhD, Clemson University Harmonic analysis and partial differential equations, Ben Wormleighton PhD, University of California, Berkeley Algebraic and symplectic geometry, Meric Augat PhD, University of Florida Free analysis; multivariable operator theory; noncommutative algebra; free skew fields, Shuhao Cao PhD, Purdue University Numerical PDF and optimization, Benjamin Cooper Boniece PhD, Tulane University Long-range dependence; self-similar processes; wavelet-based statistical inference, Humberto Diaz PhD, Duke University Algebraic geometry, Abigail Jager PhD, University of Chicago Statistics and causal inference, Silas Johnson PhD, University of Wisconsin-Madison Algebraic number theory; arithmetic statistics, Karl Schaefer PhD, University of Chicago Algebraic number theory, Blake Thornton PhD, University of Utah Geometric topology, Lisa M. Kuehne Program Coordinator, University College & Center for Advanced Learning AM Mathematics, Washington University Undergraduate mathematics education, On this page: Topics from cryptography include RSA encryption, Diffie-Hellman key exchange and elliptic curve cryptography. It is aimed at students whose precalculus skills are not yet fully developed. The three-course calculus sequence (9 units)* and an introductory computer science course (3 units)**: One of the following full-year 400-level sequences*: At least one course from the following list (that has not already been used to fulfill any of the previous requirements listed): At least two probability or statistics courses at the 400 level or above, which may include the following: Students who entered Washington University. The Graduate School of Arts & Sciences has an accelerated AB/AM program in which highly qualified undergraduate majors can earn both the AB and AM degrees with two additional semesters work (usually a total of 5 years). Credit 3 units. Some are planning academic careers in mathematics or statistics that involve teaching or research. Polynomials, binomial expansions, factoring, rings (integers and polynomials), unique factorization, and other topics relevant to the high school curriculum. Studying Mathematics and Statistics at WashU The Department of Mathematics and Statistics is committed to providing a setting that fosters excellence in teaching, learning and research, and that communicates to students the beauty and excitement of mathematics. Major topics include elementary probability, special distributions, experimental design, exploratory data analysis, estimation of mean and proportion, hypothesis testing and confidence, regression, and analysis of variance. Don’t settle for your own assumptions, as they will not substitute the truth. Total units required: 24 units of upper-level courses, including the following: Students whose primary major is secondary education may fulfill this requirement by taking Math 302 Elementary Geometry from an Advanced Point of View and Math 331 Algebraic Systems. We follow up with graduates throughout the summer and fall in an effort to collect landing information from the entire class. Eight upper-level courses from Math or Computer Science & Engineering can be chosen from an approved list, with the following caveats: No fewer than three courses can be chosen from each department. Selected aspects of high-dimensional computational geometry and dimension reduction; embeddings; Johnson-Lindenstrauss; sketching; random projections. Prerequisite: multivariable calculus (Math 233), linear or matrix algebra (Math 429 or 309), and multivariable-calculus-based probability and mathematical statistics (Math 493-494). The basic theory of Fourier series and Fourier integrals including different types of convergence. Copyright 2021 by:Arts & Sciences at Washington University in St. Louis, Five major tracks and joint degree in mathematics and computer science, Contact Blake Thornton for more information, Visit the main Washington University in St. Louis website. The reports below summarize that data by class. Options include the Distinction in Mathematics Awards, Latin Honors, the Honors Thesis, Departmental Prizes, the First-Year Honors Mathematical Sequence, and the Honors Program in Statistics. A willingness to learn new mathematics as needed is essential. More details are available on the Department of Mathematics and Statistics website. Topics include: comparison of Bayesian and frequentist methods, Bayesian model specification, choice of priors, computational methods such as rejection sampling, and stochastic simulation (Markov chain Monte Carlo), empirical Bayes method, hands-on Bayesian data analysis using appropriate software. Prerequisites: Math 439 and a course in linear algebra (such as Math 309 or 429), or consent of instructor. A&S IQ: NSM This course may be waived after consultation with the director of undergraduate studies of the Department of Computer Science & Engineering. The student must spend at least one academic year as a full-time student; this requirement cannot be met wholly by summer sessions or part-time study. Learn about the types of students at Washington University in St. Louis. Randomized numerical linear algebra. W WebSTAC, ©2020-21 Washington University in St. Louis, One course in computer science chosen from, One additional upper-level (300- or 400-level) elective, Major in Mathematics and Computer Science, Notes to All Majors in Mathematics and Statistics, Department of Mathematics and Statistics webpage, Department of Mathematics and Statistics website, Budapest Semesters in Mathematics Program, Elementary to Intermediate Statistics and Data Analysis, Introduction to Fourier Series and Integrals, Calculus I (AP credit may satisfy this requirement), Calculus II (AP credit may satisfy this requirement), Foundations for Higher Mathematics with Writing, Probability and Statistics for Engineering, Introduction to Calculus of Several Variables. UNIVERSITY COVID-19 INFORMATION. WUSTL Mathematics & Statistics Rankings. 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