Rice Course Schedule, Fall 2000
Mathematics (MATH)

See also: Building Codes | Registration Information

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

MATH 101   SINGLE VARIABLE CALCULUS I               Credits 3.00  Fall 00
* 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 HB 227 - MWF 09:00AM - 09:50AM      Stong, Richard A.         Enr: 2 Max: NA
002 HZ 212 - MWF 11:00AM - 11:50AM      Hoffoss, Diane            Enr: 2 Max: NA

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Fall 00
* 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 CL LEC - MWF 09:00AM - 09:50AM      Pauls, Scott D.           Enr: 0 Max: NA
002 HB 427 - MWF 09:00AM - 09:50AM      Staff                     Enr: 1 Max: NA
003 HZ 210 - MWF 11:00AM - 11:50AM      Gao, Zhiyong              Enr: 23 Max: NA

MATH 111   FUNDAMENTAL THEOREM OF CALCULUS          Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
No description.
001 GRB 212W - MWF 09:00AM - 09:50AM    Masters, Joseph           Enr: 7 Max: NA

MATH 211   ORDINARY DIFFERENTIAL EQUATIONS AND LINE Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Study of ordinary differential equations (e.g., solutions
to separable and
inear 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 BL 131 - MWF 09:00AM - 09:50AM      Chang, Stanley            Enr: 60 Max: NA
002 SS 337 - MWF 11:00AM - 11:50AM      Staff                     Enr: 12 Max: 25
003 SH 301 - MWF 11:00AM - 11:50AM      Evans, Richard            Enr: 68 Max: NA
004 HZ 210 - TTH 09:25AM - 10:40AM      Polking, John C.          Enr: 23 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Fall 00
* 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      Slimowitz, Jennifer       Enr: 4 Max: NA

MATH 221   HONORS CALCULUS III                      Credits 3.00  Fall 00
* 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
differentail equations.
Prereq- permission of department.  A student may not receive credit for Math
222 and 212.
001 HB 227 - MWF 11:00AM - 11:50AM      Wolf, Michael             Enr: 2 Max: NA

MATH 321   INTRODUCTION TO ANALYSIS I               Credits 3.00  Fall 00
* 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 227 - MWF 03:00PM - 03:50PM      Semmes, Stephen           Enr: 25 Max: NA

MATH 355   LINEAR ALGEBRA                           Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Linear transformations and matrices, solution of linear equations, eigenvalues
and eigenvectors, quadratic forms, rational canonical form, Jordan canonical
form.
001 BL 131 - MWF 02:00PM - 02:50PM      Slimowitz, Jennifer       Enr: 79 Max: NA

MATH 368   INTRODUCTION TO COMBINATORICS            Credits 3.00  Fall 00
* 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.
Math 211.
001 HB 427 - MWF 03:00PM - 03:50PM      Stong, Richard A.         Enr: 12 Max: NA

MATH 381   INTRODUCTION TO PARTIAL DIFFERENTIAL EQU Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Laplace transform:  inverse transform, applications to constant coefficient
differential equations.  Boundary value problems:  Fourier series, Bessel
functions, Legendre polynomials.
001 HB 227 - MWF 01:00PM - 01:50PM      Evans, Richard            Enr: 27 Max: NA

MATH 390   UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Fall 00
* 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       Semmes, Stephen           Enr: 6 Max: NA

MATH 401   DIFFERENTIAL GEOMETRY                    Credits 3.00  Fall 00
* 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 01:00PM - 02:20PM      Hardt, Robert M.          Enr: 10 Max: NA

MATH 423   PARTIAL DIFFERENTIAL EQUATIONS           Credits 3.00  Fall 00
* 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 423 - MWF 09:00AM - 09:50AM      Wolf, Michael             Enr: 2 Max: NA

MATH 425   INTEGRATION THEORY                       Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Lebesgue theory of measure and integration.
001 HB 423 - MWF 10:00AM - 10:50AM      Veech, William A.         Enr: 7 Max: NA

MATH 428   TOPICS IN COMPLEX ANALYSIS               Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Special topics include Riemann mapping theorem, Runge's Theorem, elliptic
function theory, prime number theorem, Riemann surfaces.
001 HB 423 - TTH 09:25AM - 10:40AM      Harvey, Reese             Enr: 2 Max: NA

MATH 444   GEOMETRIC TOPOLOGY                       Credits 3.00  Fall 00
* DISTRIBUTION COURSE: GROUP III
Introduction to algebraic methods in topology and differential topology.
Elementary homotopy theory.  Covering spaces.
001 HB 423 - MWF 02:00PM - 02:50PM      Hoffoss, Diane            Enr: 9 Max: NA

MATH 463   ALGEBRA I                                Credits 3.00  Fall 00
* 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: 7 Max: NA

MATH 490   SUPERVISED READING                       Credits   Fall 00
No description.
001 TBA - TBA                           Staff                     Enr: 12 Max: NA

MATH 501   TOPICS IN DIFFERENTIAL GEOMETRY          Credits 3.00  Fall 00
Topic to be announced.
001 TBA - TBA                           Staff                     Enr: 1 Max: NA

MATH 521   ADVANCED TOPICS IN REAL ANALYSIS         Credits 3.00  Fall 00
Topic TBA.
001 HB 22 - MWF 01:00PM - 01:50PM       Staff                     Enr: 0 Max: NA

MATH 522   TOPICS IN ANALYSIS                       Credits 3.00  Fall 00
Seminar in real analysis.  May include singular integral operators, maximal
functions, Hardy spaces, Lipschitz spaces, and Sobolev spaces.
Graduate student standing or permission of instructor.
001 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 541   TOPICS IN TOPOLOGY                       Credits 3.00  Fall 00
No description.
001 HB 427 - TTH 10:50AM - 12:05PM      Hempel, John P.           Enr: 8 Max: NA

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Fall 00
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 22 - T 02:30PM - 03:50PM         Staff                     Enr: 13 Max: NA

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Fall 00
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 423 - TH 02:30PM - 03:50PM       Staff                     Enr: 8 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits 3.00  Fall 00
No description.
001 TBA - TBA                           Staff                     Enr: 9 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits   Fall 00
No description.
001 TBA - TBA                           Staff                     Enr:  Max: NA