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 Spring 2019 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 Spring 2019 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 Spring 2019 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 2019 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 2019 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 Spring 2019 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.

The class is not offered for the Spring 2019 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 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Soo, Terry
TuTh 02:30-03:45 PM SNOW 156 - LAWRENCE
3 65246
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 2019 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 2019 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 2019 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 2019 semester.

MATH 766 Mathematical Analysis II
A continuation of MATH 765. Prerequisite: MATH 765. LEC.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Chen, Geng
MW 11:00-12:15 PM SNOW 564 - LAWRENCE
3 62127
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 2019 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 2019 semester.

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.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Miedlar, Agnieszka
TuTh 01:00-02:15 PM SNOW 456 - LAWRENCE
3 67099
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.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Van Vleck, Erik
TuTh 11:00-12:15 PM SNOW 456 - LAWRENCE
3 73894
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.

The class is not offered for the Spring 2019 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 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Witt, Emily
TuTh 09:30-10:45 AM SNOW 301 - LAWRENCE
3 64159
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 2019 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 2019
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-3 62128
RSH Chen, Geng
APPT- KULC APPT - LAWRENCE
1-3 73907
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-3 66915
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-3 62129
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-3 65911
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-3 62130
RSH Gay, A.
APPT- KULC APPT - LAWRENCE
1-3 62131
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-3 72307
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-3 62132
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-3 70188
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-3 68232
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-3 66509
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-3 62133
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-3 62134
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-3 62135
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-3 73909
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-3 73908
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-3 62136
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-3 65269
RSH Miedlar, Agnieszka
APPT- KULC APPT - LAWRENCE
1-3 73910
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-3 65248
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-3 65995
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-3 62137
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-3 62138
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-3 62139
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-3 68233
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-3 62140
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-3 70215
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-3 65310
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-3 65089
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-3 65996
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-3 62141
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-3 68234
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-3 64021
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-3 71140
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-3 66543
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 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Stefanov, Atanas
TuTh 11:00-12:15 PM SNOW 454 - LAWRENCE
3 62142
MATH 801 Complex Analysis II
Continuation of MATH 800. Prerequisite: MATH 800. LEC.

The class is not offered for the Spring 2019 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 2019 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 2019 semester.

MATH 811 Real Analysis and Measure Theory II
Continuation of MATH 810. Prerequisite: MATH 810. LEC.

The class is not offered for the Spring 2019 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 Spring 2019 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 Spring 2019 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 Spring 2019 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 2019 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 2019 semester.

MATH 831 Abstract Algebra
Continuation of MATH 830. Prerequisite: MATH 830. LEC.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Dao, Hailong
MWF 01:00-01:50 PM SNOW 156 - LAWRENCE
3 75767
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 2019 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.

The class is not offered for the Spring 2019 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.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Mantzavinos, Dionysios
TuTh 09:30-10:45 AM SNOW 454 - LAWRENCE
3 75768
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 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Talata, Zsolt
TuTh 09:30-10:45 AM SNOW 456 - LAWRENCE
3 66924
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.

The class is not offered for the Spring 2019 semester.

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 Spring 2019 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 2019 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 2019 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.

The class is not offered for the Spring 2019 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.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Tu, Xuemin
MW 11:00-12:15 PM SNOW 456 - LAWRENCE
3 75769
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.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Shao, Shuanglin
TuTh 01:00-02:15 PM SNOW 256 - LAWRENCE
3 75772
MATH 896 Master's Research Component
RSH.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-6 62143
RSH Chen, Geng
APPT- KULC APPT - LAWRENCE
1-6 73917
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-6 66916
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-6 62144
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-6 65912
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-6 62145
RSH Gay, A.
APPT- KULC APPT - LAWRENCE
1-6 62146
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-6 72308
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-6 62147
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-6 70189
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-6 68236
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-6 66510
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-6 62148
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-6 62149
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-6 62150
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-6 73918
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-6 62151
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-6 73919
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-6 65270
RSH Miedlar, Agnieszka
APPT- KULC APPT - LAWRENCE
1-6 73920
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-6 65249
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-6 65997
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-6 62152
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-6 62153
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-6 62154
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-6 68237
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-6 62155
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-6 70216
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-6 65311
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-6 67652
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-6 65998
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-6 62156
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-6 68238
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-6 64022
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-6 71141
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-6 66544
MATH 899 Master's Thesis
THE.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
THE Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 69025
THE Chen, Geng
APPT- KULC APPT - LAWRENCE
1-10 73921
THE Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 66917
THE Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 62157
THE Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 65913
THE Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 62158
THE Gay, A.
APPT- KULC APPT - LAWRENCE
1-10 62159
THE Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-10 72309
THE Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 62160
THE Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-10 70190
THE Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 68239
THE Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 66511
THE Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 62161
THE Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 62162
THE Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 62163
THE Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 73922
THE Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 62164
THE Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 73923
THE Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 65271
THE Miedlar, Agnieszka
APPT- KULC APPT - LAWRENCE
1-10 73924
THE Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 65250
THE Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 65999
THE Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 62165
THE Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 62166
THE Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 62167
THE Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 68240
THE Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 62168
THE Soo, Terry
APPT- KULC APPT - LAWRENCE
1-10 70217
THE Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 65312
THE Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 67653
THE Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 66000
THE Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 62169
THE Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 68241
THE Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 64023
THE Witt, Emily
APPT- KULC APPT - LAWRENCE
1-10 71142
THE Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 65030
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 Spring 2019 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 Spring 2019 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 2019 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 Spring 2019 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 Spring 2019 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 Spring 2019 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 Spring 2019 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 Spring 2019 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 Spring 2019 semester.

MATH 961 Functional Analysis
Continuation of MATH 960. LEC.

The class is not offered for the Spring 2019 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 2019 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 Spring 2019 semester.

MATH 990 Seminar: _____
LEC.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Witt, Emily
TuTh 02:30-03:20 PM SNOW 306 - LAWRENCE
1-10 62170
LEC Stefanov, Atanas
W 03:00-03:50 PM SNOW 306 - LAWRENCE
1-10 62171
LEC Duncan, Tyrone
Tu 04:00-04:50 PM SNOW 408 - LAWRENCE
1-10 65034
LEC Van Vleck, Erik
F 02:00-02:50 PM SNOW 306 - LAWRENCE
1-10 69026
LEC Martin, Jeremy
F 04:00-04:50 PM SNOW 408 - LAWRENCE
1-10 65445
LEC Miedlar, Agnieszka
W 02:00-02:50 PM SNOW 306 - LAWRENCE
1-10 65055
LEC Kachi, Yasuyuki
F 02:00-02:50 PM SNOW 408 - LAWRENCE
1-10 62172
LEC Nualart, David
W 04:00-04:50 PM SNOW 306 - LAWRENCE
1-10 65033
LEC Sheu, Albert
M 02:00-02:50 PM SNOW 306 - LAWRENCE
W 02:00-02:50 PM SNOW 408 - LAWRENCE
1-10 68909
LEC Pasik-Duncan, Bozenna
M 04:00-04:50 PM SNOW 306 - LAWRENCE
1-10 62173
MATH 993 Readings in Mathematics
RSH.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
RSH Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 62174
RSH Chen, Geng
APPT- KULC APPT - LAWRENCE
1-10 73925
RSH Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 66918
RSH Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 62175
RSH Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 65914
RSH Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 62176
RSH Hernandez, Daniel
APPT- KULC APPT - LAWRENCE
1-10 72310
RSH Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 62177
RSH Jiang, Yunfeng
APPT- KULC APPT - LAWRENCE
1-10 70191
RSH Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 68242
RSH Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 66512
RSH Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 62178
RSH Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 62179
RSH Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 62180
RSH Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 73926
RSH Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 62181
RSH Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 73928
RSH Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 65273
RSH Miedlar, Agnieszka
APPT- KULC APPT - LAWRENCE
1-10 73927
RSH Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 65251
RSH Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 66001
RSH Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 62182
RSH Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 62183
RSH Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 63960
RSH Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 68243
RSH Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 62184
RSH Soo, Terry
APPT- KULC APPT - LAWRENCE
1-10 70218
RSH Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 65313
RSH Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 65090
RSH Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 66002
RSH Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 62185
RSH Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 68244
RSH Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 64024
RSH Witt, Emily
APPT- KULC APPT - LAWRENCE
1-10 71143
RSH Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 66545
MATH 996 Special Topics: _____
Advanced courses on special topics; given as need arises. Prerequisite: Variable. LEC.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
LEC Liu, Zhipeng
TuTh 01:00-02:15 PM SNOW 564 - LAWRENCE
3 72305
LEC Martin, Jeremy
MWF 10:00-10:50 AM SNOW 302 - LAWRENCE
3 75774
MATH 999 Doctoral Dissertation
THE.
Spring 2019
Type Time/Place and Instructor Credit Hours Class #
THE Bayer, Margaret
APPT- KULC APPT - LAWRENCE
1-10 62186
THE Dao, Hailong
APPT- KULC APPT - LAWRENCE
1-10 66919
THE Duncan, Tyrone
APPT- KULC APPT - LAWRENCE
1-10 62187
THE Feng, Jin
APPT- KULC APPT - LAWRENCE
1-10 65915
THE Gavosto, Estela
APPT- KULC APPT - LAWRENCE
1-10 62188
THE Huang, Weizhang
APPT- KULC APPT - LAWRENCE
1-10 62189
THE Johnson, Mathew
APPT- KULC APPT - LAWRENCE
1-10 68245
THE Kachi, Yasuyuki
APPT- KULC APPT - LAWRENCE
1-10 66513
THE Katz, Daniel
APPT- KULC APPT - LAWRENCE
1-10 62190
THE Lang, Jeffrey
APPT- KULC APPT - LAWRENCE
1-10 62191
THE Liu, Weishi
APPT- KULC APPT - LAWRENCE
1-10 68316
THE Liu, Zhipeng
APPT- KULC APPT - LAWRENCE
1-10 73931
THE Mandal, Satyagopal
APPT- KULC APPT - LAWRENCE
1-10 62192
THE Mantzavinos, Dionysios
APPT- KULC APPT - LAWRENCE
1-10 73932
THE Martin, Jeremy
APPT- KULC APPT - LAWRENCE
1-10 65272
THE Nualart, David
APPT- KULC APPT - LAWRENCE
1-10 65252
THE Oh, Myunghyun
APPT- KULC APPT - LAWRENCE
1-10 66003
THE Pasik-Duncan, Bozenna
APPT- KULC APPT - LAWRENCE
1-10 62193
THE Porter, Jack
APPT- KULC APPT - LAWRENCE
1-10 62194
THE Purnaprajna, Bangere
APPT- KULC APPT - LAWRENCE
1-10 69027
THE Shao, Shuanglin
APPT- KULC APPT - LAWRENCE
1-10 68246
THE Sheu, Albert
APPT- KULC APPT - LAWRENCE
1-10 62195
THE Soo, Terry
APPT- KULC APPT - LAWRENCE
1-10 75304
THE Stanislavova, Milena
APPT- KULC APPT - LAWRENCE
1-10 65314
THE Stefanov, Atanas
APPT- KULC APPT - LAWRENCE
1-10 67654
THE Talata, Zsolt
APPT- KULC APPT - LAWRENCE
1-10 66004
THE Torres, Rodolfo
APPT- KULC APPT - LAWRENCE
1-10 62196
THE Tu, Xuemin
APPT- KULC APPT - LAWRENCE
1-10 68247
THE Van Vleck, Erik
APPT- KULC APPT - LAWRENCE
1-10 64025
THE Xu, Hongguo
APPT- KULC APPT - LAWRENCE
1-10 66546


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