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 junior-senior 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 Fall 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, pre-and/or post-stratified samples, and multistage sampling. Estimates of totals, means, ratios and proportions with methods of estimating variances of such estimates. Prerequisite: A post-calculus probability or statistics course. LEC.

The class is not offered for the Fall 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, rank-sum tests, and rank correlation. Prerequisite: MATH 628 or permission of instructor. LEC.

The class is not offered for the Fall 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 Fall 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 Fall 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.

The class is not offered for the Fall 2018 semester.

MATH 727 Probability Theory
A mathematical introduction to premeasure-theoretic 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Liu, Zhipeng
TuTh 02:30-03:45 PM SNOW 302 - LAWRENCE
3 15031
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.

The class is not offered for the Fall 2018 semester.

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 Fall 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 Fall 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 Fall 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Mantzavinos, Dionysios
TuTh 11:00-12:15 PM SNOW 454 - LAWRENCE
3 12208
MATH 766 Mathematical Analysis II
A continuation of MATH 765. Prerequisite: MATH 765. LEC.

The class is not offered for the Fall 2018 semester.

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 Fall 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Miedlar, Agnieszka
TuTh 09:30-10:45 AM SNOW 301 - LAWRENCE
3 12209
MATH 782 Numerical Analysis II
Direct and interactive 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: EECS 781 or MATH 781. LEC.

The class is not offered for the Fall 2018 semester.

MATH 783 Applied Numerical Methods for Partial Differential Equations
Finite difference methods applied to particular initial-value 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 boundary-value 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.

The class is not offered for the Fall 2018 semester.

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, Cayley-Hamilton, spectral radius, dual space, quotient space. Prerequisite: MATH 590. LEC.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Katz, Daniel
MWF 10:00-10:50 AM SNOW 302 - LAWRENCE
3 14371
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.

The class is not offered for the Fall 2018 semester.

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 Fall 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-3 12211
RSH Chen, Geng
12:00-12:00 PM KULC APPT - LAWRENCE
1-3 23801
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-3 17576
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-3 12212
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-3 15930
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-3 12213
RSH Gay, A.
APPT- KULC APPT - LAWRENCE
1-3 12214
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-3 22444
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-3 12215
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-3 12225
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-3 12216
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-3 15740
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-3 12217
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-3 12218
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-3 12210
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-3 25067
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-3 12220
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-3 25068
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-3 15264
RSH Miedlar, Agnieszka
12:00-12:00 PM KULC APPT - LAWRENCE
1-3 23802
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-3 15303
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-3 16063
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-3 12221
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-3 12222
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-3 12223
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-3 17577
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-3 12224
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-3 12219
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-3 14053
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-3 14054
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-3 16064
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-3 12226
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-3 18101
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-3 14047
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-3 22445
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-3 12227
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.

The class is not offered for the Fall 2018 semester.

MATH 801 Complex Analysis II
Continuation of MATH 800. Prerequisite: MATH 800. LEC.

The class is not offered for the Fall 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 Fall 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Shao, Shuanglin
MWF 02:00-02:50 PM SNOW 564 - LAWRENCE
3 14162
MATH 811 Real Analysis and Measure Theory II
Continuation of MATH 810. Prerequisite: MATH 810. LEC.

The class is not offered for the Fall 2018 semester.

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 Fall 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.

The class is not offered for the Fall 2018 semester.

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 Fall 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Martin, Jeremy
MWF 01:00-01:50 PM SNOW 456 - LAWRENCE
3 27817
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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Kachi, Yasuyuki
MW 03:00-04:15 PM SNOW 564 - LAWRENCE
3 23690
MATH 831 Abstract Algebra
Continuation of MATH 830. Prerequisite: MATH 830. LEC.

The class is not offered for the Fall 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 Fall 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 (Hartman-Grobman 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Chen, Geng
MW 12:30-01:45 PM SNOW 564 - LAWRENCE
3 27818
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 Fall 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.

The class is not offered for the Fall 2018 semester.

MATH 866 Stochastic Processes II
This is a second course in stochastic processes, focused on stochastic calculus with respect to a large class of semi-martingales 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Nualart, David
TuTh 11:00-12:15 PM SNOW 564 - LAWRENCE
3 27819
MATH 870 The Analysis of Variance
The general linear hypothesis with fixed effects; the Gauss-Markov 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 Fall 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 Fall 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 Fall 2018 semester.

MATH 881 Advanced Numerical Linear Algebra
Advanced topics in numerical linear algebra including pseudo-spectra, 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.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Tu, Xuemin
MW 11:00-12:15 PM SNOW 456 - LAWRENCE
3 19186
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 Fall 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 Calderón-Zygmund 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 Fall 2018 semester.

MATH 896 Master's Research Component
RSH.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-6 12229
RSH Chen, Geng
12:00-12:00 PM KULC APPT - LAWRENCE
1-6 23803
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-6 17578
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-6 12230
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-6 15931
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-6 12232
RSH Gay, A.
APPT- KULC APPT - LAWRENCE
1-6 12233
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-6 22446
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-6 12234
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-6 12231
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-6 12235
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-6 15741
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-6 12236
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-6 12237
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-6 12228
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-6 25069
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-6 12239
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-6 25070
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-6 15265
RSH Miedlar, Agnieszka
12:00-12:00 PM KULC APPT - LAWRENCE
1-6 23804
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-6 15304
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-6 16065
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-6 12240
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-6 12241
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-6 12242
RSH Schaad, Beat
APPT- KULC APPT - LAWRENCE
1-6 21852
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-6 17579
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-6 12243
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-6 12238
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-6 15449
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-6 18102
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-6 16066
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-6 12244
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-6 18103
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-6 14842
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-6 22447
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-6 12245
MATH 899 Master's Thesis
THE.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
THE Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 12247
THE Miedlar, Agnieszka
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23805
THE Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 17580
THE Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 12248
THE Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 15932
THE Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 12250
THE Gay, A.
APPT- KULC APPT - LAWRENCE
1-10 12251
THE Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-10 22448
THE Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 12252
THE Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-10 12249
THE Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 12253
THE Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 15742
THE Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 12254
THE Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 12255
THE Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 12246
THE Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 25071
THE Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 12257
THE Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 25072
THE Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 15266
THE Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 15305
THE Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 16067
THE Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 12258
THE Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 12259
THE Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 12260
THE Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 17581
THE Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 12261
THE Soo, Terry
APPT- KULC APPT - LAWRENCE
1-10 12256
THE Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 14055
THE Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 14056
THE Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 16068
THE Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 12262
THE Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 18104
THE Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 14048
THE Witt, Emily
APPT- KULC APPT - LAWRENCE
1-10 22449
THE Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 12263
MATH 905 Several Complex Variables
Holomorphic functions in several complex variables, Cauchy's integral for poly-discs, multivariable Taylor series, maximum modulus theorem. Further topics may include: removable singularities, extension theorems, Cauchy-Riemann 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 Fall 2018 semester.

MATH 910 Algebraic Curves
Algebraic sets, varieties, plane curves, morphisms and rational maps, resolution of singularities, Reimann-Roch theorem. Prerequisite: MATH 790 and MATH 791. LEC.

The class is not offered for the Fall 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 Fall 2018 semester.

MATH 920 Lie Groups and Lie Algebras
General properties of Lie groups, closed subgroups, one-parameter subgroups, homogeneous spaces, Lie bracket, Lie algebras, exponential map, structure of semi-simple Lie algebras, invariant forms, Maurer-Cartan equation, covering groups, spinor groups. Prerequisite: MATH 766 and MATH 790 and MATH 791. LEC.

The class is not offered for the Fall 2018 semester.

MATH 930 Topics in General Topology
Paracompact spaces, uniform spaces, topology of continua, Peano spaces, Hahn-Mazurkiewicz theorem, dimension theory, and theory of retracts. Prerequisite: MATH 820. LEC.

The class is not offered for the Fall 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.

The class is not offered for the Fall 2018 semester.

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 Fall 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 second-order 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 long-time 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.

The class is not offered for the Fall 2018 semester.

MATH 960 Functional Analysis
Topological vector spaces, Banach spaces, basic principles of functional analysis. Weak and weak-topologies, 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 Fall 2018 semester.

MATH 961 Functional Analysis
Continuation of MATH 960. LEC.

The class is not offered for the Fall 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 Fall 2018 semester.

MATH 970 Analytic K-Theory
K0 for rings, spectral theory in Banach algebras, K1 for Banach algebras, Bott periodicity and six-term cyclic exact sequence. Prerequisite: MATH 790 and MATH 791 and MATH 960. LEC.

The class is not offered for the Fall 2018 semester.

MATH 990 Seminar: _____
LEC.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Witt, Emily
TuTh 02:30-03:45 PM SNOW 306 - LAWRENCE
1-10 12264
LEC Kachi, Yasuyuki
F 02:00-02:50 PM SNOW 408 - LAWRENCE
1-10 19187
LEC Torres, Rodolfo
W 03:00-03:50 PM SNOW 306 - LAWRENCE
1-10 12265
LEC Van Vleck, Erik
F 02:00-02:50 PM SNOW 306 - LAWRENCE
1-10 12269
LEC Duncan, Tyrone
Tu 04:00-04:50 PM SNOW 408 - LAWRENCE
1-10 12266
LEC Martin, Jeremy
F 04:00-04:50 PM SNOW 408 - LAWRENCE
1-10 15230
LEC Huang, Weizhang
W 02:00-02:50 PM SNOW 306 - LAWRENCE
1-10 12267
LEC Hu, Yaozhong
W 04:00-04:50 PM SNOW 306 - LAWRENCE
1-10 14035
LEC Sheu, Albert
M 02:00-02:50 PM SNOW 306 - LAWRENCE
W 02:00-02:50 PM SNOW 408 - LAWRENCE
1-10 18724
LEC Pasik-Duncan, Bozenna
M 04:00-04:50 PM SNOW 306 - LAWRENCE
1-10 12268
MATH 993 Readings in Mathematics
RSH.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 12271
RSH Chen, Geng
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23806
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 17583
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 12272
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 15933
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 12274
RSH Gay, A.
APPT- KULC APPT - LAWRENCE
1-10 12275
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-10 22450
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 12276
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-10 12273
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 12277
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 15743
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 12278
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 12279
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 12270
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 25073
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 12281
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 25074
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 15267
RSH Miedlar, Agnieszka
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23807
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 15306
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 16069
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 12282
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 12283
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 12284
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 17584
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 12285
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-10 12280
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 15450
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 16353
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 16070
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 12286
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 18105
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 15307
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-10 22451
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 12287
MATH 996 Special Topics: _____
Advanced courses on special topics; given as need arises. Prerequisite: Variable. LEC.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
LEC Jiang, Yunfeng
MW 11:00-12:15 PM SNOW 564 - LAWRENCE
3 19188
MATH 999 Doctoral Dissertation
THE.
Fall 2018
Type Time/Place and Instructor Credit Hours Class #
THE Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 12288
THE Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 17585
THE Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 12289
THE Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 15934
THE Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 12290
THE Hernandez, Daniel
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23808
THE Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 14955
THE Jiang, Yunfeng
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23809
THE Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 12291
THE Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 15744
THE Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 12292
THE Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 12293
THE Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 14956
THE Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 25075
THE Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 12294
THE Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 25076
THE Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 15310
THE Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 15308
THE Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 16071
THE Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 12295
THE Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 12296
THE Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 14957
THE Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 17586
THE Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 12297
THE Soo, Terry
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23810
THE Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 14057
THE Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 14058
THE Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 16072
THE Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 12299
THE Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 12298
THE Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 14049
THE Witt, Emily
12:00-12:00 PM KULC APPT - LAWRENCE
1-10 23811
THE Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 14958


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