Topics may include Laplacian operator on a Riemannian manifold, eigenvalues, Atiyah/Singer index theorem, isoperimetric inequalities, elliptic estimates, harmonic functions, function theory on manifolds, Green's function, heat equation, minimal hypersurfaces, prescribed curvature equations, harmonic maps, Yang/Mills equation, Monge/Ampere equations. Requisite: course 110A or 117. Enrollment based on one selection test or past Putnam results. More information about visiting UCLA Campus. Requisites: courses 115A, 164, 170A or 170E or Statistics 100A, and Computer Science 31 or Program in Computing 10A. Graduate Student Outreach. Lecture, three hours; discussion, one hour. Lecture, three hours; discussion, one hour. Baroclinic instability, Eady model. Topics vary from year to year and may include dynamical processes on networks, mesoscale structures in networks, time-dependent networks, multilayer networks, applications of networks, data analysis in networks, spatial networks, and others. Semi-simple Lie algebras. Lecture, three hours; discussion, one hour. Seminar, one hour. Matrix and tensor factorization, PageRank, assorted other topics in matrices, linear programming, unconstrained optimization, constrained optimization, integer optimization, dynamic programming, and stochastic optimization. Modules over rings, homomorphisms and tensor products of modules, functors and derived functors, homological dimension of rings and modules. P/NP (undergraduates) or S/U (graduates) grading. Requisite: course 115A. Projective embeddings of curves, elliptic curves, canonical embedding. Requisites: courses 225A, 225B. program. Applications to topics such as continuum and particle mechanics. Lecture, three hours; discussion, one hour. Integral equations, Green's function, and calculus of variations. Tutorial, to be arranged. Fundamental mathematics of asymptotic analysis, asymptotic expansions of Fourier integrals, method of stationary phase. Lecture, three hours; discussion, one hour. Mathematical knowledge and research-based pedagogy needed for teaching key polynomial, rational, and transcendental functions and related equations in secondary school; professional standards and current research for teaching secondary school mathematics. Letter grading. Ekman layers, spin-up. Requisite: course 225B. Lecture, three hours. Transcendental functions; methods and applications of integration; sequences and series. Stochastic integration, stochastic differential equations, Ito formula and its applications. P/NP (undergraduates) or S/U (graduates) grading. Controllability and stabilizability. Not open for credit to students with credit for course 3B, 3C, or 31B. S/U or letter grading. Lecture, three hours; discussion, one hour. Request Information. Linear elasticity, inviscid fluid, viscous fluid. Extensions to general theory. Topics in various branches of mathematics and their applications by means of lectures and informal conferences with staff members. Students gain knowledge of core programming language concepts, core operating system constructs, and core computational hardware constructs in order to become proficient in object oriented software construction and design in compiled language, and be able to rapidly learn new programming language for future activities. Roots of modern mathematics in ancient Babylonia and Greece, including place value number systems and proof. Requisites: courses 115A, 151A, 151B, Program in Computing 10A. (Same as Computational and Systems Biology M32 and Life Sciences M32.) Lecture, three hours; discussion, one hour. Analytic continuation. Topics vary from year to year. Application to eigenvalue problems, nonlinear oscillations, wave propagation, and bifurcation problems. Mathematical knowledge and research-based pedagogy needed for teaching key geometry topics in secondary school, including axiomatic systems, measure, and geometric transformations. S/U grading. Seminar, three hours. Introduction to mathematical cryptology using methods of number theory, algebra, probability. Theorems of Weyl, Levi-Mal'cev. Rigorous presentation of probability theory based on real analysis. “I chose UCLA Anderson’s MFE program due to its location within a business school – something that most other MFE programs do not offer. Articulated Masters Program Applications are accepted once a year. Selected topics in analysis and its applications to geometry and differential equations. Methods and results of single and multivariable calculus essential for quantitative training in biology. Distributions with compact or one-sided supports and their complex Fourier transforms. Lecture, three hours. May be repeated for credit. Linear fractional transformations. Magnetostatic equilibria and stability. UCLA is the most applied-to university in the nation. Derivation, analysis, and implementation of numerical methods for constrained and unconstrained optimization problems of variety of types and with data at different scales. The UCLA Psychology Department offers graduate Ph.D. training (there is no separate M.A. Requisites: courses 115A, 151A, 151B. Requisite: course 3B with grade of C- or better. May be applied toward honors credit for eligible students. Topics include laws of large numbers, statistics, chance trees, conditional probability, Bayes' rule, continuous and discrete random variables, jointly distributed random variables, multivariate normal and conditional distributions. Spectral theory of differential operators, PDEs, generalized functions. May not be applied toward MA degree requirements. Topics include notions of hardness, one-way functions, hard-core bits, pseudorandom generators, pseudorandom functions and pseudorandom permutations, semantic security, public-key and private-key encryption, secret-sharing, message authentication, digital signatures, interactive proofs, zero-knowledge proofs, collision-resistant hash functions, commitment protocols, key-agreement, contract signing, and two-party secure computation with static security. Limited to juniors/seniors. Lecture, three hours; discussion, one hour. Requisites: courses 210A, 210B, 210C, 212A. Lecture, four hours; outside study, eight hours. Designed for students in mathematics/education program. Inverse, exponential, and logarithmic functions. P/NP or letter grading. Students work in small groups with faculty member and client to frame client's question in data science terms, create mathematical models, analyze data, and report results. Differential calculus and applications; introduction to integration. Elementary geometrical and topological results. Introduction to computational methods for data problems with focus on linear algebra and optimization. Green's functions, spectral theory of Laplace equation in bounded domains, first-order equations, wave equations, Cauchy problem, energy conservation, heat equation, fundamental solution, equations of fluid mechanics and magnetohydrodynamics. Naive, axiomatic set theory, axiom of choice and its equivalents, well-orderings, transfinite induction, ordinal and cardinal arithmetic. May not be applied toward MA degree requirements. Course 105A is requisite to 105B, which is requisite to 105C. Course 370A is requisite to 370B. Graduate Division Home / Diversity / UCLA Summer Programs for Undergraduate Research (SPUR) / How to Apply / Update Application Please follow one of the links below. Cauchy theorem. Emphasis on designing efficient algorithms useful in diverse areas such as bioinformatics and allocation of resources. S/U or letter grading. Enforced requisites: courses 33A, and 170A or 170E or Statistics 100A. Lecture, three hours; discussion, one hour. One-hour presentation required. Introduction to basic optimization theory, recognition of solutions, and geometry of optimization. MIDS Class Profile; Admissions. Selected topics, such as spectral theory or ordinary differential operators, nonlinear boundary value problems, celestial mechanics, approximation of solutions, and Volterra equations. It is no secret that the barriers for entry to careers in math are particularly high in communities of color. Requisites: courses 220A, 220B, 220C. Participating seminar on advanced topics in mathematics. Lecture, three hours. P/NP or letter grading. Examples drawn from many fields and practice problems from Mathematical Contest in Modeling. With online learning through UCLA Extension, you can upgrade your current skills—or explore an entirely new area of interest —with flexibility and convenience. Lecture, three hours; discussion, one hour. 1147 Murphy Hall, Box 951436 Los Angeles, CA 90095-1436 UCLA Registrar's Office website offers information and resources for current students, prospective students, faculty and staff, and alumni. Study of networks in technology, social, information, biological, and mathematics involving basic structural features of networks, generative models of networks, network summary statistics, centrality, random graphs, clustering, and dynamical processes on networks. Scheduled meetings to be arranged between faculty member and student. P/NP or letter grading. May be repeated for credit with topic and/or instructor change. After receiving his Ph.D, Gould was an Adjunct Assistant Professor at UCLA’s Department of Mathematics until the Statistics Department was created four years later. Lecture, three hours. Numerical solution for elliptic, parabolic, and hyperbolic partial differential equations. Requisites: courses 33A, 170E (or 170A or Statistics 100A). We are pleased to congratulate our 3rd graduating class of the MAS program! For further assistance please contact IT Services Client Support at sdhelp@it.ucla.edu, copying the information below and filling in missing items if necessary: Related Information: Why did the UCLA Single Sign-On (SSO) session time out?
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