Rice Course Schedule, Fall 2002
Mathematics (MATH)

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NOTE: Course web pages are available for some MATH courses.

MATH 101   SINGLE VARIABLE CALCULUS I               Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Differentiation, extrema, Newton's method, integration, fundamental theorem of
calculus, area, volume, natural logarithm, exponential.  May substitute MATH
111-112 or
take MATH 101 after completing MATH 111.
001 CL LEC - MWF 09:00AM - 09:50AM      Evans, Richard            Enr: 62 Max: 0
002 HZ 212 - MWF 11:00AM - 11:50AM      Stong, Richard A.         Enr: 89 Max: NA

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Continuation of MATH 101.  Includes further techniques of
integration, arc
length, surface area, Simpson's rule, and
L'Hopital's rule, as well as infinite
sequences and series, tests for convergence, power series, radius
of
convergence, polar coordinates, parametric equations, and
arc length.
001 SH 303 - MWF 09:00AM - 09:50AM      Wiandt, Tamas             Enr: 32 Max: 0
002 HB 427 - MWF 11:00AM - 11:50AM      Trout, Aaron Dwight       Enr: 12 Max: NA
003 BL 131 - MWF 11:00AM - 11:50AM      Gao, Zhiyong              Enr: 136 Max: NA

MATH 111   FUNDAMENTAL THEOREM OF CALCULUS          Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
No description.
001 HB 227 - MWF 09:00AM - 09:50AM      Song, Joung Min Jaime     Enr: 19 Max: NA

MATH 211   ORDINARY DIFFERENTIAL EQUATIONS AND LINE Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Study of ordinary differential equations (e.g., solutions
to separable and
linear first-order equations and to higher-order linear equations with constant
coefficients, the properties of solutions to differential equations, and
numerical solution methods) and linear algebra (e.g., vector spaces and
solutions to agebraic linear equations,
dimension, eigenvalues, and
eigenvectors of a matrix), as
well as the application of linear algebra to
first-order
systems of differential equations and the qualitative theory of
nonlinear systems and phase portraits.  Use of
the computers in Owlnet as part
of each homework assignment requried.
Prereq- Math 102.
001 SH 301 - MWF 09:00AM - 09:50AM      Polking, John C.          Enr: 38 Max: 0
002 HZ AMP - MWF 11:00AM - 11:50AM      Masters, Joseph           Enr: 114 Max: NA
003 BL 123 - MWF 11:00AM - 11:50AM      Gwosdz, Carol Ann         Enr: 19 Max: 25
004 HZ 210 - TTH 09:25AM - 10:40AM      Song, Joung Min Jaime     Enr: 73 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Study of gradient, divergence, and curl, Lagrange multipliers, multiple
intergrals, and spherical coordinates, as well as line integrals, conservative
vector fields, Green's theorem, Stokes's theorem, and Gauss's theorem.  May
substitute MATH 221-222.
001 HB 227 - MWF 08:00AM - 08:50AM      Hyeon, Donghoon David     Enr: 16 Max: 0

MATH 221   HONORS CALCULUS III                      Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
This course and Math 222 include the material of Math 212 and more.  Topology
of Rn, calculus for functions of several variables, linear and multilinear
algebra, theory of determinants, inner product spaces, exterior differential
calculus, integration on manifolds.  Existence theorems for ordinary
differential equations.
Prereq- permission of department.  A student may not receive credit for Math
222 and 212.
001 HB 227 - MWF 11:00AM - 11:50AM      Jones, Frank              Enr: 20 Max: NA

MATH 321   INTRODUCTION TO ANALYSIS I               Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
A thorough treatment of basic methods of analysis such as metric spaces,
compactness, sequences and series of functions.  Also further topics in
analysis, such as Hilbert spaces, Fourier series, Sturm- Liouville theory.
Prereq- Math 222 or permission of department.
001 HB 427 - MWF 03:00PM - 03:50PM      Semmes, Stephen           Enr: 21 Max: NA

MATH 355   LINEAR ALGEBRA                           Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Linear transformations and matrices, solution of linear equations, eigenvalues
and eigenvectors, quadratic forms, rational canonical form, Jordan canonical
form.
001 HZ 210 - MWF 02:00PM - 02:50PM      Clark, Gregory            Enr: 108 Max: NA

MATH 368   TOPICS IN COMBINATORICS                  Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Study of combinatorics and discrete mathematics.  Topics that may be covered
include graph theory, Ramsey theory, finite geometries, combinatorial
enumeration, combinatorial games.
Prereq- Math 211.
001 HB 227 - MWF 03:00PM - 03:50PM      Stong, Richard A.         Enr: 26 Max: NA

MATH 381   INTRODUCTION TO PARTIAL DIFFERENTIAL EQU Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Laplace transform:  inverse transform, applications to constant coefficient
differential equations.  Boundary value problems:  Fourier series, Bessel
functions, Legendre polynomials.
001 HZ AMP - MWF 01:00PM - 01:50PM      Evans, Richard            Enr: 73 Max: NA

MATH 390   UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Lectures by undergraduate students on mathematical topics not usually covered
in other courses.  Each student is required to give one lecture and to attend
all sessions.
001 HB 227 - MF 12:05PM - 12:55PM       Jones, Frank              Enr: 6 Max: 0

MATH 401   DIFFERENTIAL GEOMETRY                    Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Study of the differential geometry of curves and surfaces in R3.  Includes an
introduction to the concept of curvature and thorough treatment of the
Gauss-Bonnet theorem.
001 HB 427 - TTH 09:25AM - 10:40AM      Wolf, Michael             Enr: 12 Max: NA

MATH 423   PARTIAL DIFFERENTIAL EQUATIONS           Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Theory of distributions.  Wave equation, Laplace's equation, heat equation.
Fundamental solutions.  Other topics include first order hyperbolic systems,
Cauchy-Kowalewski theorem, potential theory, Dirichlet and Neumann problems,
integral equations, elliptic equations.
001 HB 427 - MWF 02:00PM - 02:50PM      Jones, Frank              Enr: 9 Max: NA

MATH 425   REAL ANALYSIS                            Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Lebesgue theory of measure and integration.
001 HB 423 - TTH 01:00PM - 02:20PM      Wiandt, Tamas             Enr: 13 Max: NA

MATH 428   TOPICS IN COMPLEX ANALYSIS               Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Special topics include Riemann mapping theorem, Runge's Theorem, elliptic
function theory, prime number theorem, Riemann surfaces.
001 HB 453 - MWF 10:00AM - 10:50AM      Hassett, Brendan          Enr: 4 Max: NA

MATH 444   GEOMETRIC TOPOLOGY                       Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Introduction to algebraic methods in topology and differential topology.
Elementary homotopy theory.  Covering spaces.
001 HB 427 - MWF 09:00AM - 09:50AM      Hempel, John P.           Enr: 10 Max: NA

MATH 463   ALGEBRA I                                Credits 3.00  Fall 02
* DISTRIBUTION COURSE: GROUP III
Groups, rings, fields, vector spaces.  Matrices, determinants, eigenvalues,
canonical forms, multilinear algebra.  Structure theorem for finitely generated
abelian groups. Galois theory.
001 HB 453 - MWF 11:00AM - 11:50AM      Hempel, John P.           Enr: 12 Max: NA

MATH 490   SUPERVISED READING                       Credits   Fall 02
No description.
001 TBA - TBA                           Staff                     Enr: 3 Max: 0
002 TBA - TBA                           Staff                     Enr: 2 Max: NA
003 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 521   ADVANCED TOPICS IN REAL ANALYSIS         Credits 3.00  Fall 02
Topic TBA.
001 GRB 212W - MWF 03:00PM - 03:50PM    Hardt, Robert M.          Enr: 7 Max: NA

MATH 527   ERGODIC THEORY AND TOPOLOGICAL DYNAMICS  Credits 3.00  Fall 02
No description
001 HB 427 - TTH 10:50AM - 12:05PM      Veech, William A.         Enr: 3 Max: NA

MATH 541   TOPICS IN TOPOLOGY                       Credits 3.00  Fall 02
No description.
001 HB 423 - MWF 01:00PM - 01:50PM      Cochran, Tim D.           Enr: 9 Max: NA

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Fall 02
Lectures on topics of recent research in mathematics    delivered by
mathematics graduate students and faculty.
Prereq: graduate student standing or permission of the department.
001 HB 427 - T 02:30PM - 03:50PM        Song, Joung Min Jaime     Enr: 25 Max: 0

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Fall 02
Discussion on teaching issues and practice lectures by participants as
preparation for classroom teaching of mathematics.
Graduate student status or permission of department.
001 HB 453 - TH 02:30PM - 03:50PM       Masters, Joseph           Enr: 14 Max: 0

MATH 800   THESIS AND RESEARCH                      Credits   Fall 02
No description.
001 TBA - TBA                           Staff                     Enr: 12 Max: 0