Two units of credit offered for MATH 180A if MATH 183 or 186 taken previously or concurrently.) Interpolation. It's free! MATH 190A. Mathematics, Surprising geometry emerges in the study of fluid jets. BSc (Honours) Mathematics and its Learning, BSc (Honours) Computing & IT and Mathematics, BSc (Honours) Computing & IT and Statistics, BSc (Honours) Economics and Mathematical Sciences, OpenLearn: free Numerical Methods for Physical Modeling (4). Systems of elliptic PDEs. Applications with algebraic, exponential, logarithmic, and trigonometric functions. MATH 120A. Students who have not completed prerequisites may enroll with consent of instructor. Representation theory of the symmetric group, symmetric functions and operations with Schur functions. Extremal combinatorics is the study of how large or small a finite set can be under combinatorial restrictions. Introduction to multiple life functions and decrement models as time permits. Prerequisites: MATH Recommended preparation: exposure to computer programming (such as CSE 5A, CSE 7, or ECE 15) highly recommended. (Spring 2012), Automata, Computability, and Complexity Dirichlet principle, Riemann surfaces. ), / College Math Courses and Classes Overview. Bivariate and more general multivariate normal distribution. Topics chosen from recursion theory, model theory, and set theory. Discrete Mathematics and Graph Theory (4). Third course in algebraic geometry. (Fall 2016), Algebraic Topology II Nongraduate students may enroll with consent of instructor. Prerequisite courses must be completed with a grade of C– or better. We don't offer credit or certification for using OCW. (Fall 2013), Applied Category Theory The course will focus on statistical modeling and inference issues and not on database mining techniques. Prerequisites: MATH 212A and graduate standing. ), Diagnostics, outlier detection, robust regression. and quadratic forms. Topics chosen from recursion theory, model theory, and set theory. Prerequisites: graduate standing. Enumeration involving group actions: Polya theory. Students who have not completed listed prerequisites may enroll with consent of instructor. Introduction to Binomial, Poisson, and Gaussian distributions, central limit theorem, applications to sequence and functional analysis of genomes and genetic epidemiology. MATH 288. Nonparametric statistics. Prerequisites: MATH Links to archived prior versions of a course may be found on that course's "Other Versions" tab. Structure theory of semisimple Lie groups, global decompositions, Weyl group. Topics include Riemannian geometry, Ricci flow, and geometric evolution. Spectral estimation. (Fall 2015), Teaching College-Level Science and Engineering Floating point Other topics if time (S/U grade only. of squares of polynomials, positive polynomials, distance geometry. All rights reserved. (College Math Courses and Classes Overview. Local fields: valuations and metrics on fields; discrete valuation rings and Dedekind domains; completions; ramification theory; main statements of local class field theory. Prerequisites: MATH 18 or MATH 20F or MATH 31AH, and MATH 20C. elementary conformal mappings. Topics include initial and boundary value problems; first order linear and quasilinear equations, method of characteristics; wave and heat equations on the line, half-line, and in space; separation of variables for heat and wave equations on an interval and for Laplace’s equation on rectangles and discs; eigenfunctions of the Laplacian and heat, wave, Poisson’s equations on bounded domains; and Green’s functions and distributions. of optimal solutions, saddle point and min-max theory, subgradients MATH 155A. The Data Encryption Standard. Eigenvalue and singular value computations. (Spring 2003), Introduction To MATLAB Programming team: Help with the University’s computing systems: Help with accessing the online library, referencing and using libraries near you: Please tell us where you live so that we can provide you with the most relevant information as you use this website. Optimality conditions, strong duality and the primal function, MATH 186. Continued development of a topic in probability and statistics. Prerequisites: graduate standing. (Spring 2006), Geometric Combinatorics MATH 273A. Orthogonalization methods. A course for math- and non-math majors alike, this class is useful in many fields, and it usually satisfies a general education requirement. (Fall 2013), Principles of Applied Mathematics Extremal Combinatorics and Graph Theory (4). In addition to the Mathematics courses listed below, see also OCW’s Supplemental Resources associated with the department. ), MATH 257A. Students who have not completed listed prerequisites may enroll with consent of instructor. Students who have not completed listed prerequisites may enroll with consent of instructor. Numerical differentiation: divided differences, degree of precision. Third quarter of honors integrated linear algebra/multivariable calculus sequence for well-prepared students. MATH 111A. Three or more years of high school mathematics or equivalent recommended. Nongraduate students may enroll with consent of instructor. (Spring 2004), Theoretical Environmental Analysis May be taken for credit nine times. A rigorous introduction to partial differential equations. Ill conditioned problems. A posteriori error estimates. Prerequisites: graduate standing. Differential calculus of functions of one variable, with applications. Prerequisites: graduate standing or consent of instructor. (Fall 2011), Introduction to Partial Differential Equations Stationary processes and their spectral representation. normal distribution. Completion of courses in linear algebra and basic statistics are recommended prior to enrollment. arithmetic, direct and iterative solution of linear equations, The one-time system. Mathematics of Modern Cryptography (4). Prerequisites: MATH 18 or MATH 20F or MATH 31AH, and MATH 20C and one of BENG 134, CSE 103, ECE 109, ECON 120A, MAE 108, MATH 180A, MATH 183, MATH 186, or SE 125. MATH 185. Convex Analysis and Optimization II (4). Instructor may choose further topics such as Urysohn’s lemma, Urysohn’s metrization theorem. May be taken for credit six times with consent of adviser as topics vary. Exceptionally well prepared students can take an exam in August to place out of 230-231. This is the second course in a three-course sequence in probability theory. Prerequisites: MATH 31CH or MATH 109. Prerequisites: MATH 20C or MATH 31BH, or consent of instructor. (Cross-listed with BENG 276/CHEM 276.) MATH 170C. Prerequisites: MATH 210A-B or 240A-B-C or consent of instructor. of ninety units, two upper-division mathematics courses, an overall Independent study or research under direction of a member of the faculty. If MATH 154 and MATH 158 are concurrently taken, credit is only offered for MATH 158. Students in this course, required for math majors, are introduced to the basic concepts of matrix algebra. Knowledge is your reward. Two units of credit given if taken after MATH 3C.) Prior enrollment in MATH 109 is highly recommended. The Part III Guide to Courses provides information on courses offered in a given year. to Numerical Optimization: Linear Programming (4). Nonparametrics: tests, regression, density estimation, bootstrap and jackknife.