Graduate Courses
 MATH 701 Topics in Mathematics for Teachers: _____

Material, including both mathematical content and teaching methodology, related to classroom use at various levels, elementary through secondary. Topics may vary. May not be counted for juniorsenior credit towards a major in mathematics, nor for graduate credit towards a graduate degree in mathematics. Prerequisite: Permission of instructor. RSH.
The class is not offered for the Spring 2018 semester.
 MATH 715 Sampling Techniques

Statistical methodology of survey sampling. Data analysis and estimation methods for various experimental designs; fixed or random sample sizes, preand/or poststratified samples, and multistage sampling. Estimates of totals, means, ratios and proportions with methods of estimating variances of such estimates. Prerequisite: A postcalculus probability or statistics course. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 717 Nonparametric Statistics

Methods requiring few assumptions about the populations sampled. Topics include quantile tests, tolerance limits, the sign test, contingency tables, ranksum tests, and rank correlation. Prerequisite: MATH 628 or permission of instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 722 Mathematical Logic

Propositional calculus. First order theories and model theory. Elementary arithmetic and Godel's incompleteness theorems. (Same as EECS 722.) Prerequisite: MATH 665 or MATH 691, or equivalent evidence of mathematical maturity. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 724 Combinatorial Mathematics

Counting problems, with an introduction to Polya's theory; Mobius functions; transversal theory; Ramsey's theorem; Sperner's theorem and related results. Prerequisite: MATH 290 and a math course numbered 450 or higher. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 725 Graph Theory

Graphs; trees; connectivity; Menger's theorem; eulerian and hamiltonian graphs; planarity; coloring of graphs; factorization of graphs; matching theory; alternating chain methods; introduction to matroids with applications to graph theory. Prerequisite: MATH 290 and a math course numbered 450 or higher. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC
TuTh 09:3010:45 AM ST 356  LAWRENCE
3 67994  MATH 727 Probability Theory

A mathematical introduction to premeasuretheoretic probability. Topics include probability spaces, conditional probabilities and independent events, random variables and probability distributions, special discrete and continuous distributions with emphasis on parametric families used in applications, the distribution problem for functions of random variables, sequences of independent random variables, laws of large numbers, and the central limit theorem. Prerequisite: MATH 223 and MATH 290, or equivalent. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 728 Statistical Theory

Theory of point estimation and hypothesis testing with applications. Confidence region methodologies and relations to estimation and testing. Prerequisite: MATH 727 or equivalent. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC PasikDuncan, Bozenna
TuTh 02:3003:45 PM SNOW 156  LAWRENCE
3 55682  MATH 735 Optimal Control Theory

An examination of the mathematical methods of deterministic control theory is given by considering some specific examples and the general theory. The methods include dynamic programming, the calculus of variations, and Pontryagin's maximum principle. Various problems of linear control systems, e.g., the linear regulator problem, are solved. Prerequisite: MATH 320 or equivalent. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 740 Number Theory

Divisibility, the theory of congruences, primitive roots and indices, the quadratic reciprocity law, arithmetical functions and miscellaneous additional topics. Prerequisite: MATH 223 and MATH 290, or equivalent. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 750 Stochastic Adaptive Control

Stochastic adaptive control methods. Stochastic processes such as Markov chains and Brownian motion, stochastic integral, differential rule, stochastic differential equations, martingales and estimation techniques. Identification and control of discrete and continuous time linear stochastic systems. Specific applications and simulation results of stochastic adaptive control theory. Prerequisite: MATH 627 and some knowledge of control. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 765 Mathematical Analysis I

MATH 765 and MATH 766 are theoretical courses on the fundamental concepts of analysis and the methods of proof. These two courses include the concept of a real number; limits, continuity, and uniform convergence; derivatives and integrals of functions of one and of several real variables. Prerequisite: MATH 223 and MATH 290, or equivalent. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 766 Mathematical Analysis II

A continuation of MATH 765. Prerequisite: MATH 765. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Gavosto, Estela
MWF 09:0009:50 AM SNOW 302  LAWRENCE
3 52296  MATH 780 Numerical Analysis of Linear Systems

Computational aspects of linear algebra, linear equations and matrices, direct and indirect methods, eigenvalues and eigenvectors of matrices, error analysis. Prerequisite: MATH 590 and MATH 781. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 781 Numerical Analysis I

Finite and divided differences. Interpolation, numerical differentiation, and integration. Gaussian quadrature. Numerical integration of ordinary differential equations. Curve fitting. (Same as EECS 781.) Prerequisite: MATH 320 and knowledge of a programming language. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 782 Numerical Analysis II

Direct and iterative methods for solving systems of linear equations. Numerical solution of partial differential equations. Numerical determination of eigenvectors and eigenvalues. Solution of nonlinear equations. (Same as EECS 782.) Prerequisite: MATH 781. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Tu, Xuemin
TuTh 11:0012:15 PM SNOW 564  LAWRENCE
3 57732  MATH 783 Applied Numerical Methods for Partial Differential Equations

Finite difference methods applied to particular initialvalue problems (both parabolic and hyperbolic), to illustrate the concepts of convergence and stability and to provide a background for treating more complicated problems arising in engineering and physics. Finite difference methods for elliptic boundaryvalue problems, with a discussion of convergence and methods for solving the resulting algebraic system. Variational methods for elliptic problems. Prerequisite: MATH 647 or equivalent. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Huang, Weizhang
TuTh 09:3010:45 AM SNOW 456  LAWRENCE
3 67995  MATH 790 Linear Algebra II

A theoretical course on the fundamental concepts and theorems of linear algebra. Topics covered are: vector space, basis, dimension, subspace, norm, inner product, Banach space, Hilbert space, orthonormal basis, positive definite matrix, minimal polynomial, diagonalization and other canonical forms, CayleyHamilton, spectral radius, dual space, quotient space. Prerequisite: MATH 590. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 791 Modern Algebra

This course includes the following topics: multiplicative properties of the integers and introductions to group theory, ring theory and field theory. Prerequisite: MATH 223 and MATH 290, or equivalent. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Hernandez, Daniel
TuTh 01:0002:15 PM SNOW 156  LAWRENCE
3 54485  MATH 796 Special Topics: _____

Arranged as needed to present appropriate material for groups of students. May be repeated for credit. Prerequisite: Variable. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 799 Directed Readings

Directed readings on a topic chosen by the student with the advice of an instructor. May be repeated for additional credit. Consent of the department required for enrollment. RSH.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # RSH Bayer, Margaret
APPT KULC APPT  LAWRENCE
13 52298 RSH Chen, Geng
APPT KULC APPT  LAWRENCE
13 68011 RSH Dao, Hailong
APPT KULC APPT  LAWRENCE
13 57540 RSH Duncan, Tyrone
APPT KULC APPT  LAWRENCE
13 52299 RSH Feng, Jin
APPT KULC APPT  LAWRENCE
13 56455 RSH Gavosto, Estela
APPT KULC APPT  LAWRENCE
13 52300 RSH Gay, A.
APPT KULC APPT  LAWRENCE
13 52301 RSH Hernandez, Daniel
APPT KULC APPT  LAWRENCE
13 63815 RSH Huang, Weizhang
APPT KULC APPT  LAWRENCE
13 52302 RSH Jiang, Yunfeng
APPT KULC APPT  LAWRENCE
13 61213 RSH Johnson, Mathew
APPT KULC APPT  LAWRENCE
13 58991 RSH Kachi, Yasuyuki
APPT KULC APPT  LAWRENCE
13 57089 RSH Katz, Daniel
APPT KULC APPT  LAWRENCE
13 52303 RSH Lang, Jeffrey
APPT KULC APPT  LAWRENCE
13 52304 RSH Liu, Weishi
APPT KULC APPT  LAWRENCE
13 52305 RSH Liu, Zhipeng
APPT KULC APPT  LAWRENCE
13 68013 RSH Mandal, Satyagopal
APPT KULC APPT  LAWRENCE
13 68012 RSH Mantzavinos, Dionysios
APPT KULC APPT  LAWRENCE
13 52306 RSH Martin, Jeremy
APPT KULC APPT  LAWRENCE
13 55706 RSH Miedlar, Agnieszka
APPT KULC APPT  LAWRENCE
13 68014 RSH Nualart, David
APPT KULC APPT  LAWRENCE
13 55684 RSH Oh, Myunghyun
APPT KULC APPT  LAWRENCE
13 56542 RSH PasikDuncan, Bozenna
APPT KULC APPT  LAWRENCE
13 52307 RSH Porter, Jack
APPT KULC APPT  LAWRENCE
13 52308 RSH Purnaprajna, Bangere
APPT KULC APPT  LAWRENCE
13 52309 RSH Shao, Shuanglin
APPT KULC APPT  LAWRENCE
13 58992 RSH Sheu, Albert
APPT KULC APPT  LAWRENCE
13 52310 RSH Soo, Terry
APPT KULC APPT  LAWRENCE
13 61247 RSH Stanislavova, Milena
APPT KULC APPT  LAWRENCE
13 55760 RSH Stefanov, Atanas
APPT KULC APPT  LAWRENCE
13 55505 RSH Talata, Zsolt
APPT KULC APPT  LAWRENCE
13 56543 RSH Torres, Rodolfo
APPT KULC APPT  LAWRENCE
13 52311 RSH Tu, Xuemin
APPT KULC APPT  LAWRENCE
13 58993 RSH Van Vleck, Erik
APPT KULC APPT  LAWRENCE
13 54341 RSH Witt, Emily
APPT KULC APPT  LAWRENCE
13 62339 RSH Xu, Hongguo
APPT KULC APPT  LAWRENCE
13 57127  MATH 800 Complex Analysis I

Cauchy's theorem and contour integration; the argument principle; maximum modulus principle; Schwarz symmetry principle; analytic continuation; monodromy theorem; applications to the gamma function and Riemann's zeta function; entire and meromorphic functions; conformal mapping; Riemann mapping theorem; univalent functions. Prerequisite: MATH 766 or concurrently with MATH 766. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Stefanov, Atanas
TuTh 11:0012:15 PM SNOW 301  LAWRENCE
3 52312  MATH 801 Complex Analysis II

Continuation of MATH 800. Prerequisite: MATH 800. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 802 Set Theory

Axiomatic set theory; transfinite induction; regularity and choice; ordinal and cardinal arithmetic; miscellaneous additional topics (e.g., extra axioms such as GCH or MA; infinite combinatorics; large cardinals). Prerequisite: MATH 765 or MATH 791, or concurrent enrollment in MATH 765 or MATH 791, or equivalent evidence of mathematical maturity. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 810 Real Analysis and Measure Theory I

Measurable spaces and functions. Measure spaces and integration. Extensions of set functions, outer measures, Lebesgue measure. Signed and complex measures. Differentiation of set functions. Miscellaneous additional topics and applications. Prerequisite: MATH 766. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 811 Real Analysis and Measure Theory II

Continuation of MATH 810. Prerequisite: MATH 810. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Shao, Shuanglin
MWF 02:0002:50 PM SNOW 456  LAWRENCE
3 67996  MATH 820 Introduction to Topology

General topology. Set theory; topological spaces; connected sets; continuous functions; generalized convergence; product and quotient spaces; embedding in cubes; metric spaces and metrization; compact spaces; function spaces. Prerequisite: MATH 765. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 821 Algebraic Topology I

The fundamental group and covering spaces (including classification); compact surfaces; homology theory, computations (including homotopy invariance) and applications (including Brouwer fixed point theorem); introduction to cohomology theory. Prerequisite: MATH 790 and MATH 791 and MATH 820, or permission of instructor. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Martin, Jeremy
MWF 01:0001:50 PM SNOW 564  LAWRENCE
3 67998  MATH 822 Algebraic Topology II

Review of simplicial homology; Lefschetz fixed point theorem and degree theory; singular, cellular, and axiomatic homology; Jordan Brouwer separation theorems; universal coefficient theorems, products in cohomology, homotopy groups, and the Hurewicz Theorem. Prerequisite: MATH 821. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 824 Algebraic Combinatorics

An introduction to the fundamental structures and methods of modern algebraic combinatorics. Topics include partially ordered sets and lattices, matroids, simplicial complexes, polytopes, hyperplane arrangements, partitions and tableaux, and symmetric functions. Prerequisite: MATH 724 and MATH 791, or permission of the instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 830 Abstract Algebra

A study of some structures, theorems, and techniques in algebra whose use has become common in many branches of mathematics. Prerequisite: MATH 790 and MATH 791. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 831 Abstract Algebra

Continuation of MATH 830. Prerequisite: MATH 830. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 840 Differentiable Manifolds

Multilinear algebra of finite dimensional vector spaces over fields; differentiable structures and tangent and tensor bundles; differentiable mappings and differentials; exterior differential forms; curves and surfaces as differentiable manifolds; affine connections and covariant differentiation; Riemannian manifolds. Prerequisite: MATH 765 and MATH 790. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 850 Differential Equations and Dynamical Systems

Discrete and differentiable dynamical systems with an emphasis on the qualitative theory. Topics to be covered include review of linear systems, existence and uniqueness theorems, flows and discrete dynamical systems, linearization (HartmanGrobman theorem), stable and unstable manifolds, Poincare sections, normal forms, Hamiltonian systems, and an introduction to bifurcation theory and chaos. Prerequisite: MATH 320 and MATH 766, or permission of instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 851 Topics in Dynamical Systems

Topics to be covered include complex dynamical systems, perturbation theory, nonlinear analysis of time series, chaotic dynamical systems, and numerical methods as dynamical systems. This course may be repeated for credit. Prerequisite: MATH 850 or permission of instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 865 Stochastic Processes I

Markov chains; Markov processes; diffusion processes; stationary processes. Emphasis is placed on applications: random walks; branching theory; Brownian motion; Poisson process; birth and death processes. Prerequisite: MATH 627 and MATH 765. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Feng, Jin
TuTh 01:0002:15 PM SNOW 564  LAWRENCE
3 57549  MATH 866 Stochastic Processes II

This is a second course in stochastic processes, focused on stochastic calculus with respect to a large class of semimartingales and its applications to topics selected from classical analysis (linear PDE), finance, engineering, and statistics. The course will start with basic properties of martingales and random walks and then develop into the core program on Ito's stochastic calculus and stochastic differential equations. These techniques provide useful and important tools and models in many pure and applied areas. Prerequisite: MATH 727 and MATH 865. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 870 The Analysis of Variance

The general linear hypothesis with fixed effects; the GaussMarkov theorem, confidence ellipsoids, and tests under normal theory; multiple comparisons and the effect of departures from the underlying assumptions; analysis of variance for various experimental designs and analysis of covariance. Prerequisite: MATH 628 or MATH 728, and either MATH 590 or MATH 790. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 872 Multivariate Statistical Analysis

The multivariate normal distribution; tests of hypotheses on means and covariance matrices; estimation; correlation; multivariate analysis of variance; principal components; canonical correlation. Prerequisite: MATH 628 or MATH 728, and either MATH 590 or MATH 790. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 874 Statistical Decision Theory

Game theory, admissible decision functions and complete class theorems; Bayes and minimax solutions; sufficiency; invariance; multiple decision problems; sequential decision problems. Prerequisite: MATH 628 and MATH 766. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 881 Advanced Numerical Linear Algebra

Advanced topics in numerical linear algebra including pseudospectra, rounding error analysis and perturbation theory, numerical methods for problems with special structure, and numerical methods for large scale problems. Prerequisite: Math 781, 782, 790, or permission of the instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 882 Advanced Numerical Differential Equations

Advanced course in the numerical solution of ordinary and partial differential equations including modern numerical methods and the associated analysis. Prerequisite: MATH 781, 782, 783, or permission of the instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 890 Fourier Analysis

Introduction to modern techniques in Fourier Analysis in the Euclidean setting with emphasis in the study of functions spaces and operators acting on them. Topics may vary from year to year and include, among others, distribution theory, Sobolev spaces, estimates for fractional integrals and fractional derivatives, wavelets, and some elements of CalderÃ³nZygmund theory. Applications in other areas of mathematics, in particular partial differential equations and signal analysis, will be presented based on the instructor's and the students' interests. Prerequisite: Math 810 and Math 800, or instructor's permission. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 896 Master's Research Component

RSH.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # RSH Bayer, Margaret
APPT KULC APPT  LAWRENCE
16 52313 RSH Chen, Geng
APPT KULC APPT  LAWRENCE
16 68021 RSH Dao, Hailong
APPT KULC APPT  LAWRENCE
16 57541 RSH Duncan, Tyrone
APPT KULC APPT  LAWRENCE
16 52314 RSH Feng, Jin
APPT KULC APPT  LAWRENCE
16 56456 RSH Gavosto, Estela
APPT KULC APPT  LAWRENCE
16 52315 RSH Gay, A.
APPT KULC APPT  LAWRENCE
16 52316 RSH Hernandez, Daniel
APPT KULC APPT  LAWRENCE
16 63816 RSH Huang, Weizhang
APPT KULC APPT  LAWRENCE
16 52318 RSH Jiang, Yunfeng
APPT KULC APPT  LAWRENCE
16 61215 RSH Johnson, Mathew
APPT KULC APPT  LAWRENCE
16 58995 RSH Kachi, Yasuyuki
APPT KULC APPT  LAWRENCE
16 57090 RSH Katz, Daniel
APPT KULC APPT  LAWRENCE
16 52319 RSH Lang, Jeffrey
APPT KULC APPT  LAWRENCE
16 52320 RSH Liu, Weishi
APPT KULC APPT  LAWRENCE
16 52321 RSH Liu, Zhipeng
APPT KULC APPT  LAWRENCE
16 68022 RSH Mandal, Satyagopal
APPT KULC APPT  LAWRENCE
16 52322 RSH Mantzavinos, Dionysios
APPT KULC APPT  LAWRENCE
16 68023 RSH Martin, Jeremy
APPT KULC APPT  LAWRENCE
16 55707 RSH Miedlar, Agnieszka
APPT KULC APPT  LAWRENCE
16 68024 RSH Nualart, David
APPT KULC APPT  LAWRENCE
16 55685 RSH Oh, Myunghyun
APPT KULC APPT  LAWRENCE
16 56544 RSH PasikDuncan, Bozenna
APPT KULC APPT  LAWRENCE
16 52323 RSH Porter, Jack
APPT KULC APPT  LAWRENCE
16 52324 RSH Purnaprajna, Bangere
APPT KULC APPT  LAWRENCE
16 52325 RSH Shao, Shuanglin
APPT KULC APPT  LAWRENCE
16 58996 RSH Sheu, Albert
APPT KULC APPT  LAWRENCE
16 52326 RSH Soo, Terry
APPT KULC APPT  LAWRENCE
16 61248 RSH Stanislavova, Milena
APPT KULC APPT  LAWRENCE
16 55761 RSH Stefanov, Atanas
APPT KULC APPT  LAWRENCE
16 58350 RSH Talata, Zsolt
APPT KULC APPT  LAWRENCE
16 56545 RSH Torres, Rodolfo
APPT KULC APPT  LAWRENCE
16 52327 RSH Tu, Xuemin
APPT KULC APPT  LAWRENCE
16 58997 RSH Van Vleck, Erik
APPT KULC APPT  LAWRENCE
16 54342 RSH Witt, Emily
APPT KULC APPT  LAWRENCE
16 62340 RSH Xu, Hongguo
APPT KULC APPT  LAWRENCE
16 57128  MATH 899 Master's Thesis

THE.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # THE Bayer, Margaret
APPT KULC APPT  LAWRENCE
110 59877 THE Chen, Geng
APPT KULC APPT  LAWRENCE
110 68025 THE Dao, Hailong
APPT KULC APPT  LAWRENCE
110 57542 THE Duncan, Tyrone
APPT KULC APPT  LAWRENCE
110 52328 THE Feng, Jin
APPT KULC APPT  LAWRENCE
110 56457 THE Gavosto, Estela
APPT KULC APPT  LAWRENCE
110 52329 THE Gay, A.
APPT KULC APPT  LAWRENCE
110 52330 THE Hernandez, Daniel
APPT KULC APPT  LAWRENCE
110 63817 THE Huang, Weizhang
APPT KULC APPT  LAWRENCE
110 52332 THE Jiang, Yunfeng
APPT KULC APPT  LAWRENCE
110 61216 THE Johnson, Mathew
APPT KULC APPT  LAWRENCE
110 58998 THE Kachi, Yasuyuki
APPT KULC APPT  LAWRENCE
110 57091 THE Katz, Daniel
APPT KULC APPT  LAWRENCE
110 52333 THE Lang, Jeffrey
APPT KULC APPT  LAWRENCE
110 52334 THE Liu, Weishi
APPT KULC APPT  LAWRENCE
110 52335 THE Liu, Zhipeng
APPT KULC APPT  LAWRENCE
110 68026 THE Mandal, Satyagopal
APPT KULC APPT  LAWRENCE
110 52336 THE Mantzavinos, Dionysios
APPT KULC APPT  LAWRENCE
110 68027 THE Martin, Jeremy
APPT KULC APPT  LAWRENCE
110 55708 THE Miedlar, Agnieszka
APPT KULC APPT  LAWRENCE
110 68028 THE Nualart, David
APPT KULC APPT  LAWRENCE
110 55686 THE Oh, Myunghyun
APPT KULC APPT  LAWRENCE
110 56546 THE PasikDuncan, Bozenna
APPT KULC APPT  LAWRENCE
110 52337 THE Porter, Jack
APPT KULC APPT  LAWRENCE
110 52338 THE Purnaprajna, Bangere
APPT KULC APPT  LAWRENCE
110 52339 THE Shao, Shuanglin
APPT KULC APPT  LAWRENCE
110 58999 THE Sheu, Albert
APPT KULC APPT  LAWRENCE
110 52340 THE Soo, Terry
APPT KULC APPT  LAWRENCE
110 61249 THE Stanislavova, Milena
APPT KULC APPT  LAWRENCE
110 55762 THE Stefanov, Atanas
APPT KULC APPT  LAWRENCE
110 58351 THE Talata, Zsolt
APPT KULC APPT  LAWRENCE
110 56547 THE Torres, Rodolfo
APPT KULC APPT  LAWRENCE
110 52341 THE Tu, Xuemin
APPT KULC APPT  LAWRENCE
110 59000 THE Van Vleck, Erik
APPT KULC APPT  LAWRENCE
110 54343 THE Witt, Emily
APPT KULC APPT  LAWRENCE
110 62341 THE Xu, Hongguo
APPT KULC APPT  LAWRENCE
110 55443  MATH 905 Several Complex Variables

Holomorphic functions in several complex variables, Cauchy's integral for polydiscs, multivariable Taylor series, maximum modulus theorem. Further topics may include: removable singularities, extension theorems, CauchyRiemann operator, domains of holomorphy, special domains and algebraic properties of rings of analytic functions. Prerequisite: MATH 800. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 910 Algebraic Curves

Algebraic sets, varieties, plane curves, morphisms and rational maps, resolution of singularities, ReimannRoch theorem. Prerequisite: MATH 790 and MATH 791. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 915 Homological Algebra

Injective and projective resolutions, homological dimension, chain complexes and derived functors (including Tor and Ext). Prerequisite: MATH 830 and MATH 831, or consent of instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 920 Lie Groups and Lie Algebras

General properties of Lie groups, closed subgroups, oneparameter subgroups, homogeneous spaces, Lie bracket, Lie algebras, exponential map, structure of semisimple Lie algebras, invariant forms, MaurerCartan equation, covering groups, spinor groups. Prerequisite: MATH 766 and MATH 790 and MATH 791. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 930 Topics in General Topology

Paracompact spaces, uniform spaces, topology of continua, Peano spaces, HahnMazurkiewicz theorem, dimension theory, and theory of retracts. Prerequisite: MATH 820. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 940 Advanced Probability

Probability measures, random variables, distribution functions, characteristic functions, types of convergence, central limit theorem. Laws of large numbers and other limit theorems. Conditional probability, Markov processes, and other topics in the theory of stochastic processes. Prerequisite: MATH 811. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Soo, Terry
TuTh 01:0002:15 PM SNOW 408  LAWRENCE
3 67999  MATH 950 Partial Differential Equations

Introduction; equations of mathematical physics; classification of linear equations and systems. Existence and uniqueness problems for elliptic, parabolic, and hyperbolic equations. Eigenvalue problems for elliptic operators; numerical methods. Prerequisite: MATH 766. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 951 Advanced Partial Differential Equations II

The course uses functional analytic techniques to further develop various aspects of the modern framework of linear and nonlinear partial differential equations. Sobolev spaces, distributions and operator theory are used in the treatment of linear secondorder elliptic, parabolic, and hyperbolic equations. In particular we discuss the kind of potential, diffusion and wave equations that arise in inhomogeneous media, with an emphasis on the solvability of equations with different initial/boundary conditions. Then, we will survey the theory of semigroup of operators, which is one of the main tools in the study of the longtime behavior of solutions to nonlinear PDE. The theories and applications encountered in this course will create a strong foundation for studying nonlinear equations and nonlinear science in general. Prerequisite: MATH 950 or permission of the instructor. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Chen, Geng
TuTh 02:3003:45 PM SNOW 456  LAWRENCE
3 68000  MATH 960 Functional Analysis

Topological vector spaces, Banach spaces, basic principles of functional analysis. Weak and weaktopologies, operators and adjoints. Hilbert spaces, elements of spectral theory. Locally convex spaces. Duality and related topics. Applications. Prerequisite: MATH 810 and MATH 820 or concurrent with MATH 820. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 961 Functional Analysis

Continuation of MATH 960. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 963 C*Algebras

The basics of C*algebras, approximately finite dimensional C*algebras, irrational rotation algebras, C*algebras of isometries, group C*algebras, crossed products C*algebras, extensions of C*algebras and the BDF theory. Prerequisite: MATH 811 or MATH 960, or consent of instructor. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 970 Analytic KTheory

K0 for rings, spectral theory in Banach algebras, K1 for Banach algebras, Bott periodicity and sixterm cyclic exact sequence. Prerequisite: MATH 790 and MATH 791 and MATH 960. LEC.
The class is not offered for the Spring 2018 semester.
 MATH 990 Seminar: _____

LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Witt, Emily
Montano Martinez, Jonathan
TuTh 02:3003:20 PM SNOW 306  LAWRENCE
110 52342 LEC Stefanov, Atanas
W 03:0003:50 PM SNOW 306  LAWRENCE
110 52343 LEC Duncan, Tyrone
Tu 04:0004:50 PM SNOW 408  LAWRENCE
110 55448 LEC Van Vleck, Erik
F 02:0002:50 PM SNOW 306  LAWRENCE
110 59878 LEC Martin, Jeremy
F 03:0003:50 PM SNOW 408  LAWRENCE
110 55942 LEC Miedlar, Agnieszka
W 02:0002:50 PM SNOW 306  LAWRENCE
110 55471 LEC Kachi, Yasuyuki
F 02:0002:50 PM SNOW 408  LAWRENCE
110 52344 LEC Nualart, David
W 04:0004:50 PM SNOW 306  LAWRENCE
110 55447 LEC Sheu, Albert
M 02:0002:50 PM SNOW 306  LAWRENCE
W 02:0002:50 PM SNOW 408  LAWRENCE
110 59742 LEC PasikDuncan, Bozenna
M 04:0004:50 PM SNOW 306  LAWRENCE
110 52345  MATH 993 Readings in Mathematics

RSH.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # RSH Bayer, Margaret
APPT KULC APPT  LAWRENCE
110 52346 RSH Chen, Geng
APPT KULC APPT  LAWRENCE
110 68029 RSH Dao, Hailong
APPT KULC APPT  LAWRENCE
110 57543 RSH Duncan, Tyrone
APPT KULC APPT  LAWRENCE
110 52347 RSH Feng, Jin
APPT KULC APPT  LAWRENCE
110 56458 RSH Gavosto, Estela
APPT KULC APPT  LAWRENCE
110 52348 RSH Hernandez, Daniel
APPT KULC APPT  LAWRENCE
110 63818 RSH Huang, Weizhang
APPT KULC APPT  LAWRENCE
110 52350 RSH Jiang, Yunfeng
APPT KULC APPT  LAWRENCE
110 61217 RSH Johnson, Mathew
APPT KULC APPT  LAWRENCE
110 59001 RSH Kachi, Yasuyuki
APPT KULC APPT  LAWRENCE
110 57092 RSH Katz, Daniel
APPT KULC APPT  LAWRENCE
110 52351 RSH Lang, Jeffrey
APPT KULC APPT  LAWRENCE
110 52352 RSH Liu, Weishi
APPT KULC APPT  LAWRENCE
110 52353 RSH Liu, Zhipeng
APPT KULC APPT  LAWRENCE
110 68030 RSH Mandal, Satyagopal
APPT KULC APPT  LAWRENCE
110 52354 RSH Mantzavinos, Dionysios
APPT KULC APPT  LAWRENCE
110 68032 RSH Martin, Jeremy
APPT KULC APPT  LAWRENCE
110 55710 RSH Miedlar, Agnieszka
APPT KULC APPT  LAWRENCE
110 68031 RSH Nualart, David
APPT KULC APPT  LAWRENCE
110 55687 RSH Oh, Myunghyun
APPT KULC APPT  LAWRENCE
110 56548 RSH PasikDuncan, Bozenna
APPT KULC APPT  LAWRENCE
110 52355 RSH Porter, Jack
APPT KULC APPT  LAWRENCE
110 52356 RSH Purnaprajna, Bangere
APPT KULC APPT  LAWRENCE
110 54279 RSH Shao, Shuanglin
APPT KULC APPT  LAWRENCE
110 59002 RSH Sheu, Albert
APPT KULC APPT  LAWRENCE
110 52357 RSH Soo, Terry
APPT KULC APPT  LAWRENCE
110 61250 RSH Stanislavova, Milena
APPT KULC APPT  LAWRENCE
110 55763 RSH Stefanov, Atanas
APPT KULC APPT  LAWRENCE
110 55506 RSH Talata, Zsolt
APPT KULC APPT  LAWRENCE
110 56549 RSH Torres, Rodolfo
APPT KULC APPT  LAWRENCE
110 52358 RSH Tu, Xuemin
APPT KULC APPT  LAWRENCE
110 59003 RSH Van Vleck, Erik
APPT KULC APPT  LAWRENCE
110 54344 RSH Witt, Emily
APPT KULC APPT  LAWRENCE
110 62342 RSH Xu, Hongguo
APPT KULC APPT  LAWRENCE
110 57129  MATH 996 Special Topics: _____

Advanced courses on special topics; given as need arises. Prerequisite: Variable. LEC.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # LEC Nualart, David
TuTh 09:3010:45 AM SNOW 564  LAWRENCE
3 63813  MATH 999 Doctoral Dissertation

THE.
Spring 2018 Type Time/Place and Instructor Credit Hours Class # THE Bayer, Margaret
APPT KULC APPT  LAWRENCE
110 52359 THE Dao, Hailong
APPT KULC APPT  LAWRENCE
110 57544 THE Duncan, Tyrone
APPT KULC APPT  LAWRENCE
110 52360 THE Feng, Jin
APPT KULC APPT  LAWRENCE
110 56459 THE Gavosto, Estela
APPT KULC APPT  LAWRENCE
110 52361 THE Huang, Weizhang
APPT KULC APPT  LAWRENCE
110 52362 THE Johnson, Mathew
APPT KULC APPT  LAWRENCE
110 59004 THE Kachi, Yasuyuki
APPT KULC APPT  LAWRENCE
110 57093 THE Katz, Daniel
APPT KULC APPT  LAWRENCE
110 52363 THE Lang, Jeffrey
APPT KULC APPT  LAWRENCE
110 52364 THE Liu, Weishi
APPT KULC APPT  LAWRENCE
110 59081 THE Liu, Zhipeng
APPT KULC APPT  LAWRENCE
110 68036 THE Mandal, Satyagopal
APPT KULC APPT  LAWRENCE
110 52365 THE Mantzavinos, Dionysios
APPT KULC APPT  LAWRENCE
110 68037 THE Martin, Jeremy
APPT KULC APPT  LAWRENCE
110 55709 THE Nualart, David
APPT KULC APPT  LAWRENCE
110 55688 THE Oh, Myunghyun
APPT KULC APPT  LAWRENCE
110 56550 THE PasikDuncan, Bozenna
APPT KULC APPT  LAWRENCE
110 52366 THE Porter, Jack
APPT KULC APPT  LAWRENCE
110 52367 THE Purnaprajna, Bangere
APPT KULC APPT  LAWRENCE
110 59879 THE Shao, Shuanglin
APPT KULC APPT  LAWRENCE
110 59005 THE Sheu, Albert
APPT KULC APPT  LAWRENCE
110 52368 THE Stanislavova, Milena
APPT KULC APPT  LAWRENCE
110 55764 THE Stefanov, Atanas
APPT KULC APPT  LAWRENCE
110 58352 THE Talata, Zsolt
APPT KULC APPT  LAWRENCE
110 56551 THE Torres, Rodolfo
APPT KULC APPT  LAWRENCE
110 52369 THE Tu, Xuemin
APPT KULC APPT  LAWRENCE
110 59006 THE Van Vleck, Erik
APPT KULC APPT  LAWRENCE
110 54345 THE Xu, Hongguo
APPT KULC APPT  LAWRENCE
110 57130