Honors course parallel to course 131B. Enforced requisite: course 31B with grade of C- or better. Study of selected topics in mathematics at introductory level. program or Psy.D. Learn about our community, faculty, and more. Coherent and quasi-coherent sheaves. Fubini theorem. Requisites: courses 32B, 33B, 115A, Program in Computing 10A or Computer Science 31. Manifold theory; connections, curvature, torsion, and parallelism. Total Applicants MS CS Program: 1957 Total Master of Computer Science Applications Accepted: 205 UCLA Computer Science Master’s … Lecture, three hours. Elementary aspects of Banach and Hilbert spaces and linear operators. Reading, discussion, and development of culminating project. Topics vary from year to year. Executive Director of Chancellor's Office of Data Analytics. Multivariable modeling, matrices and vectors, eigenvalues and eigenvectors, linear and nonlinear systems of differential equations, probabilistic applications of integration. P/NP or letter grading. Exploration of current topics in pedagogy and education research focused on methods of learning and their practical application in small-group settings. Articulated Masters Program Applications are accepted once a year. One 596 course may also be used with GVC approval. Topics vary from year to year. S/U or letter grading. Derivatives, Riemann integral, sequences and series of functions, power series, Fourier series. Lecture, three hours. (Same as Physics M236.) Focus on undergraduate mathematics instruction. Development of algebra through Middle Ages to Fermat and Abel, invention of analytic geometry and calculus. An interdisciplinary program that combines engineering, management, and design, leading to a master’s degree in engineering and management. Axiomatic set theory as framework for mathematical concepts; relations and functions, numbers, cardinality, axiom of choice, transfinite numbers. Topics include spectral theory with applications to ordinary differential operators, eigenvalue problems for differential equations, generalized functions, and partial differential equations. Lecture, three hours. Modules over rings, homomorphisms and tensor products of modules, functors and derived functors, homological dimension of rings and modules. Designed for graduate mathematics students. Structure and classification of manifolds, automorphisms of manifolds, submanifolds (e.g., knots and links). Special course for teaching assistants designed to deal with problems and techniques of teaching college mathematics. Lecture, three hours. Limited to juniors/seniors. Request Information. Emphasis on manner in which mathematical models are constructed for physical problems. Emphasis on practice of programming rather than problem solving or fundamental algorithms. Not open to students with credit for course 170E, Electrical and Computer Engineering 131A, or Statistics 100A. Lecture, three hours; discussion, one hour. Advance topics in probability theory. Facilitates student development in mathematical and pedagogical understandings required to teach middle school mathematics curriculum. Beginning study of short-term actuarial mathematics. In addition to the 12-course requirement, students must complete two Participating Seminars from Math 290 or 296. Lecture, three hours; discussion, one hour. Simple solutions, flow created by slowly moving bodies, flows where viscosity is negligible, vortices, boundary layers and their separation, water waves, ship waves, compressional waves, shock waves, turbulence theory (overview). Preparation for linear algebra portion of UCLA Mathematics Basic Examination that is required of MA and PhD students. Lie derivatives, integrable distributions and Frobenius theorem, differential forms, integration and Stokes theorem, de Rham cohomology, including Mayer/Vietoris sequence, Poincaré duality, Thom classes, degree theory and Euler characteristic revisited from viewpoint of de Rham cohomology, Riemannian metrics, gradients, volume forms, and interpretation of classical integral theorems as aspects of Stokes theorem for differential forms. Seminar, three hours. Math, Statistics and Probability Preparatory Online Class. Tutorial, three hours per week per unit. Requisites: courses 210A, 246A. Additional topics include dispersive waves, systems with multiple time scales, and applications to fluid mechanics. Naive, axiomatic set theory, axiom of choice and its equivalents, well-orderings, transfinite induction, ordinal and cardinal arithmetic. Watson lemma, method of steepest descent, uniform asymptotic expansions, elementary perturbation problems. Requisites: courses 33A, 170E (or 170A or Statistics 100A). Graduate Student Outreach. Existence of periodic solutions. Requisite: course 255A. Principal values; other examples. Students go beyond writing short programs or scripts that invoke preexisting high-level functionality to capability of creating any high-level functionality using object oriented software constructs and techniques. Generating functions. Requisite: course 210A. Designed for students in mathematics/education program. Applications to problems in biology, chemistry, physics, and other fields. With questions not answered here or on the program’s site (above), please contact the program directly. S/U or letter grading. May be repeated for credit with consent of instructor. Individual contract with faculty mentor required. Prerequisites: course 271A, prior knowledge of mechanics. UCLA offers graduate degrees in nearly 150 departments, ranging from an extensive selection of business and medical programs to degrees in 40 different languages. Integral equations, Green's function, and calculus of variations. Lecture, three hours; discussion, one hour. Honors content noted on transcript. Basic theorems of fluid mechanics. First-order, linear differential equations; second-order, linear differential equations with constant coefficients; power series solutions; linear systems. Lecture, three hours; discussion, one hour. Direct methods for solving linear systems. For a while I thought about doing a double major but then realized that I could always go back and study filmmaking, and that now was the time to really focus and experience mathematics. Lie groups, Lie algebras, subgroups, subalgebras. Students should be able to complete the requirements for an M.A. Most UCLA master’s students have the Capstone Plan. Measure theory on locally compact spaces. Requisites: courses 110A (or 117), 120A (or 123), and 131A, with grades of C- or better. Requisites: courses 32B, 33B. Requisite: course 3C or 32A, and 61. Primality testing and factorization methods. Lecture, three hours; discussion, one hour. Lecture, three hours. No more than two 285 courses may be applied toward MA degree requirements except by prior consent of graduate vice chair. Self-adjoint boundary value problems on finite intervals. Content varies from year to year. Requisite: course 272A. Seminar, one hour; fieldwork (classroom observation and participation), two hours. Seminar, three hours. Morphology. S/U grading. Application to eigenvalue problems, nonlinear oscillations, wave propagation, and bifurcation problems. Regular practice tests given, similar in difficulty to Putnam competition. Divisors, line bundles, ampleness. Normal families. To see a program’s statistics, type a program’s name. Newtonian and Lagrangian equations. Requisites: courses 32B, 33B, 115A, 131A. Requisite: course 275C. May be applied toward honors credit for eligible students. Basic optimization algorithms and their rates of convergence. Compact operators. Boundary layer theory, matched asymptotic expansions, WKB theory. The UCLA Mathematics Department offers a wide variety of undergraduate and graduate courses in pure and applied mathematics. Lecture, three hours. Aerospace engineering . Linear and polynomial functions and their graphs, applications to optimization. Requisite: course 275C. Letter grading. S/U or letter grading. Linear partial differential equations, boundary and initial value problems; wave equation, heat equation, and Laplace equation; separation of variables, eigenfunction expansions; selected topics, as method of characteristics for nonlinear equations. Set systems. D. Doctor of Philosophy (Ph.D.) Visit the Program’s website. Radical, irreducible modules and primitive rings, rings and algebras with minimum condition. 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. Geodesics; conjugate points, variational methods, Myers theorem, nonpositive curvature. (Same as Computer Science M283B.) Proper and finite morphisms. Lecture, three hours; discussion, one hour. P/NP grading. Linear transformations, conjugate spaces, duality; theory of a single linear transformation, Jordan normal form; bilinear forms, quadratic forms; Euclidean and unitary spaces, symmetric skew and orthogonal linear transformations, polar decomposition. This Fall 2020, we are happy to welcome our fifth cohort to UCLA. Lecture, three hours; discussion, one hour. Bargaining theory, core, value, other solution concepts. Faculty; Student Profiles; Alumni Profiles; Video Library; Short Courses. Introduction to complex analysis, with more emphasis on proofs. Limited to junior/senior USIE facilitators. Application to asymptotic and probabilistic enumeration. May be applied toward honors credit for eligible students. Nonlinear programming, optimality conditions for constrained problems. The inaugural class of 57 students began in 2007. P/NP or letter grading. Requisite: course 115A. May be repeated for credit by petition. 1147 Murphy Hall, Box 951436 Los Angeles, CA 90095-1436 Ramsey theory. Email: asugano@ponet.ucla.edu Phone: (310) 825-5713 A proud triple Bruin, between 2000-2008 Adam earned his BS in mathematics, MS in biostatistics, and a PhD in statistics from UCLA. May be repeated four times, but only 1 unit may be applied toward graduation. Requisites: courses 131A, 131B. I was going to be a film major but then took a calculus class, finished the top of my class, and was hooked! Topics include contour integration conformal mapping, differential equations in complex plane, special functions, asymptotic series, Fourier and Laplace transforms, singular integral equations. Elliptic curve methods. Requisite: course 250A. Lecture, three hours. Introduction to numerical methods with emphasis on algorithms, analysis of algorithms, and computer implementation issues. Linear algebra methods. Derivation, analysis, and implementation of numerical methods for constrained and unconstrained optimization problems of variety of types and with data at different scales. Normal form theorem; universal functions; unsolvability and undecidability results. Students with credit for courses 110B and/or 110C cannot receive MA degree credit for courses 210B and/or 210C. Lecture, three hours. Spectral theory of differential operators, PDEs, generalized functions. Limited to Program for Excellence in Education and Research in Science (PEERS) students. Illustrations from many fields of endeavor, such as physical sciences, biology, economics, and traffic dynamics. Problems with several time scales: Poincaré method, averaging techniques, multiple-scale analysis. Requisites: courses 225A, 225B. P/NP or letter grading. Abstract convex analysis and variational problems. Requisite: course 3A with grade of C- or better. Lecture, three hours; discussion, one hour. Topics in geometry, algebra, number theory, discrete mathematics, and functions presented from a problem-solving and student participation point of view, with emphasis on historical context and appropriate role of proof. May be repeated for maximum of 4 units. Letter grading. Mathematics provides in-depth details on its own site. Preparation: three years of high school mathematics. Lecture, four hours. Classical transcendental functions. Partial fractions. May be repeated for credit with topic and/or instructor change. We celebrate the work of Black mathematicians and students at UCLA, and across the United States. Lecture, three hours. Convolution; examples of singular integrals. Mathematical modeling of financial securities in discrete and continuous time. Development of intuition and problem-solving skills in collaborative learning environment. P/NP or letter grading. UCLA Undergraduate Admission. May not be applied toward MA degree requirements. Lecture, three hours; discussion, one hour. P/NP or letter grading. Modeling with functions, limits, and derivatives, decisions and optimization in biology, derivative rules and tools. Seminar, one hour; fieldwork (classroom observation and participation), two hours. Class of 2014. UCLA is the most applied-to university in the nation. P/NP or letter grading. Compressible media. Requisites: courses 210A, 210B, 210C, 212A. Campbell/Hausdorff formula. Lecture, three hours; discussion, one hour. Covers severity, frequency, and aggregate loss models, parameter estimation (frequentist, Bayesian), model selection, and credibility. Welcome to the Master of Applied Economics program at UCLA. Instructed by a faculty of Nobel Prize winners, Field Medal recipients and Fulbright scholars, the graduate programs at UCLA are some of the most esteemed in the world. Cognitive science. Continuation of course 174E. Requisite: course 3B with grade of C- or better. Requisite: course 151A. Curvilinear coordinates and coordinate-free methods. Conformal mappings. Introduction to professional standards and current research for teaching secondary school mathematics. Community Engagement and Social Change Minor, Graduate Student Continuous Registration Policy, Nonresident Supplemental Tuition Exemptions, Health Sciences Summer Fees (Medicine, Dentistry), Undergraduate Study List Deadlines and Fees, Graduate Student Study List Deadlines and Fees, College of Letters and Science Diversity Requirement, Graduate School of Education and Information Studies Diversity Requirement, School of Public Affairs Diversity Requirement, School of the Arts and Architecture Diversity Requirement, Departments, Programs, and Freestanding Minors, Names, Changes, Special Marks, and Errors, Professional School and Extension Transcripts, Graduate Individual Studies Classes Master List, Course Inventory Management System (CIMS). May be repeated for credit by petition. P/NP grading. Corequisite: associated undergraduate lecture course in mathematics for physical sciences and engineering majors. Students practice communication skills with frequent assessment of and feedback on progress. Resolvent distributions and Green's functions. Moments and generating functions; laws of large numbers, central limit theorem, and convergence in distribution; branching processes; random walks; Poisson and other random processes in continuous time. Requisites: courses 225A, 225B. and continuous (exponential, gamma, chi-square, normal) distributions, bivariate distributions, distributions of functions of random variables (including moment generating functions and central limit theorem). Trigonometric functions. Letter grading. Mathematical modeling for computer applications, scientific programming languages, software development, graphics, implementation of numerical algorithms on different architectures, case studies. Lecture, three hours; discussion, one hour. 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. Structure of graphs, matching theory, duality theorems. Prerequisite: course 266A or consent of instructor. Graduate Division Home / Diversity / UCLA Summer Programs for Undergraduate Research (SPUR) / How to Apply / Update Application Please follow one of the links below. Differential calculus and applications; introduction to integration. Lecture, three hours; discussion, one hour. Requisites: courses 115A, 151A, 151B, Program in Computing 10A. Lecture, three hours. Scheduled meetings to be arranged between faculty member and student. Variable content may include Abelian varieties, invariant theory, Hodge theory, geometry over finite fields, K-theory, homotopical algebra, and derived algebraic geometry. MatLab programming. Mathematics is a human endeavor, and can not be separated from the flows of history and society. UCLA Registrar’s Office website offers information and resources for current students, prospective students, faculty and staff, and alumni. The UCLA Department of Public Policy offers the Master of Public Policy (MPP). Lecture, three hours; discussion, one hour. Does the department provide “pre-application” reviews?A1. (Same as Electrical and Computer Engineering M208C.) Prerequisite: bachelor's degree in mathematics or equivalent. May be repeated for credit. Packings, pavings, coverings, statistical designs, difference sets, triple systems, finite planes. UCLA's Graduate Program in Mathematics offers the following degree (s): M. Master of Arts (M.A.) P/NP or letter grading. One-hour presentation required. Arithmetic geometry, especially of modular curves. Basic theory of ordinary differential equations. Analytic continuation. Continued fractions, inequalities, modular arithmetic, closed form evaluation of sums and products, problems in geometry, rational functions and polynomials, other nonroutine problems. Not open for credit to students with credit for course 3B. Representations of totally disconnected groups. JMEP offers a way for UCLA mathematics majors to begin taking teacher-education courses in their senior year. Requisites: courses 33B, 115A, 131A. Topics include extensive and normal form games, background probability, lotteries, mixed strategies, pure and mixed Nash equilibria and refinements, bargaining; emphasis on economic examples. Fundamentals of optimization. Training seminar for undergraduate students who are selected for learning assistant (LA) program. Mathematical knowledge and research-based pedagogy needed for teaching key geometry topics in secondary school, including axiomatic systems, measure, and geometric transformations. 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. Stochastic integration, stochastic differential equations, Ito formula and its applications. (Program Statistics is also known as Program Profile Report). P/NP grading. Lecture, three hours; discussion, one hour. Math 270C -- Mathematical Aspects of Scientific Computing: Computational Linear Algebra 21W Sec. S/U or letter grading. Tutorial, three hours. Limited to senior Mathematics Department majors. Limited to juniors/seniors. P/NP or letter grading. Undergraduate Bring a business perspective to your technical and quantitative expertise with a bachelor’s degree in management, business analytics, or finance. Lecture, three hours; discussion, one hour. P/NP or letter grading. A graduate degree in mathematics can help students hone their skills in a specialty area, from algebra and number theory to discrete mathematics and combinatorics. Requisites: courses 32B, 33B, 115A, 131A, Programming in Computing 10A or equivalent. Permutations and combinations, counting principles, recurrence relations, and generating functions. Fourier series. Not open for credit to students with credit in another calculus sequence. degree in Mathematics under the comprehensive examination plan (no thesis). Cryptography: public-key and discrete log cryptosystems. P/NP or letter grading. Assigned reading and tangible evidence of mastery of subject matter required. Designed for undergraduate students. Topics covered include the quantitative finance applications of calculus, linear algebra, probability, statistics, stochastic calculus and ordinary and partial differential equations. Introduction to theory of cryptography, stressing rigorous definitions and proofs of security. Variable topics research course in mathematics that covers material not covered in regular mathematics upper-division curriculum. Letter grading. Introduction to advanced topics as time permits. Requisite: course 142. Basic logic; structure of mathematical proofs; sets, functions, and cardinality; natural numbers and induction; construction of real numbers; topology of real numbers; sequences and convergence; continuity. Requisites: courses 115A and 115B (or Electrical and Computer Engineering 208A), 131A, 131B, 132. Lecture, three hours. Lecture, three hours; discussion, one hour. Lecture, three hours; discussion, one hour. Seminar, three hours. degree within six quarters. If a student in the Master's program meets the requirements for satisfactory progress towards the Ph.D. degree, the student may petition to transfer to the Ph.D. program. P/NP or letter grading. Application of abstract mathematical theory to optimization problems of calculus of variations on Sobolev spaces. (Same as Computer Science M282A.) Single- and multiple-life survival models, annuities, premium calculations and policy values, reserves, pension plans and retirement benefits. Honors content noted on transcript. Letter grading. Comes from an economically or educationally disadvantaged background; Lecture, three hours; discussion, one hour. Requisites: courses 131A, 131B. Lecture, three hours. P/NP or letter grading. Honors content noted on transcript. Lecture, three hours; discussion, one hour. program. Universal enveloping algebra. P/NP or letter grading. S/U or letter grading. It is no secret that the barriers for entry to careers in math are particularly high in communities of color. Applications to contemporary research. Requisites: courses 131A, 131B, 132, and 134 and 135, or 146. Principle of least action. S/U grading. Requisite: course 255A. Advanced machine learning and pattern recognition problems, including data classification and clustering, regression, kernel methods, artificial neural networks, hidden Markov models, and Markov random fields. Lecture, three hours; discussion, one hour. At University of California - Los Angeles, the disparity between men and women on campus is lower than the national average. With award-winning faculty and world-class infrastructure UCLA Anderson provides management education to over 1600 students every year through its full-time MBA, executive MBA, and other programs. Development of professional mathematical and pedagogical understandings required to teach California's K-5 mathematics curriculum. In-depth introduction to topics of current interest in partial differential equations or their applications. “I chose UCLA Anderson’s MFE program due to its location within a business school – something that most other MFE programs do not offer. S/U or letter grading. Not open for credit to students with credit for Program in Computing 130. May be repeated for credit by petition. Tutorial, to be arranged. Harmonic functions. Rigorous treatment of fundamental results of analysis. Lecture, three hours; discussion, one hour. Poincaré/Bendixson theory. Lecture, three hours; discussion, one hour. Requisites: courses 266A, 266B, 266C. Applications of differentiation, integration, differential equations, linear models in biology, phase lines and classifying equilibrium values, bifurcations. 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.