Rice Course Schedule, Spring 2000
Mathematics (MATH)

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

MATH 101   SINGLE VARIABLE CALCULUS I               Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Differentiation, extrema, Newton's method, integration, fundamental theorem of
calculus, area, volume, natural logarithm, exponential.
001 TBA - MWF 09:00AM - 09:50AM         Harvey, Shelly Lynn       Enr: 0 Max: 25

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Techniques of integration, arc length, surface area, Simpson's rule,
L'Hopital's rule.  Infinite sequences and series, tests for convergence, power
series, radius of convergence. Section 002 taught by Graduate Teaching
Assistant.Section 002 enrollment limited to 25 students.
001 TBA - MWF 09:00AM - 09:50AM         Hoffoss, Diane            Enr: 0 Max: NA
002 TBA                                 Staff                     Enr: 0 Max: 25
003 TBA - MWF 11:00AM - 11:50AM         Pauls, Scott D.           Enr: 0 Max: NA

MATH 112   CALCULUS & ITS APPLICATIONS II           Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
See Math 111.
001 TBA - MWF 09:00AM - 09:50AM         DePauw, Thierry           Enr: 0 Max: NA

MATH 211   ORD DIFFERENTIAL EQ AND LINEAR ALGEBRA   Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Separable equations, first order linear equations, nth order linear equations
with constant coefficients, Laplace transforms.  Vector spaces, dimension,
eigenvalues and eigenvectors of matrices.  Systems of linear first order
differential equations, exponential of a matrix.  Qualitative theory of
nonlinear systems. Math 211 will be taught using the computer assisted approach
using OWLNET.
Prereq- Math 102. Section 002 taught by Graduate Teaching Assistant (Fall
only). Section 002 enrollment limited to 25 students (Fall only).
001 TBA - MWF 08:00AM - 08:50AM         Slimowitz, Jennifer       Enr: 0 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Gradient, divergence, and curl.  Lagrange multipliers.  Multiple intergrals.
Spherical coordinates.  Line integrals, conservative vector fields, Green's
theorem, Stokes' theorem, Gauss' theorem.
001 TBA - MWF 09:00AM - 09:50AM         Metzler, David Scott      Enr: 0 Max: NA
002 TBA - MWF 11:00AM - 11:50AM         Jones, Frank              Enr: 0 Max: NA
003 TBA - TTH 09:25AM - 10:40AM         TBA                       Enr: 0 Max: NA
004 TBA                                 Staff                     Enr: 0 Max: NA

MATH 222   HONORS CALCULUS IV                       Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
See Math 221.
001 TBA - MWF 11:00AM - 11:50AM         Hempel, John P.           Enr: 0 Max: NA

MATH 322   INTRO TO ANALYSIS II                     Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
See Math 321.
001 TBA - MWF 03:00PM - 03:50PM         Slimowitz, Jennifer       Enr: 0 Max: NA

MATH 356   ABSTRACT ALGEBRA                         Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Groups: normal subgroups, factor groups, Abelian groups.  Rings: ideals,
Euclidean rings, and unique factorization.  Fields: algebraic extensions,
finite fields.  Students may not take this course and Math 463.
001 TBA - MWF 02:00PM - 02:50PM         Chang, Stanley            Enr: 0 Max: NA

MATH 365   NUMBER THEORY                            Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Properties of numbers depending mainly on the notion of divisbility.  Continued
fractions.Offered alternate years.
001 TBA - MWF 03:00PM - 03:50PM         Boshernitzan, Michael     Enr: 0 Max:

MATH 366   GEOMETRY                                 Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Topics chosen from Euclidean, spherical, hyperbolic, and projective geometry,
with emphasis on the similarities and differences found in various geometries.
Isometries and other transformations are studied and used throughout.  The
history of the development of geometric ideas is discussed.  This course is
strongly recommended for prospective high school teachers.
001 TBA                                 TBA                       Enr: 0 Max: NA

MATH 368   INTRODUCTION TO COMBINATORICS            Credits 3.00  Spring 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.
Prereq- Math 211.
001 TBA                                 TBA                       Enr: 0 Max:

MATH 382   COMPLEX ANALYSIS                         Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Cauchy integral theorem, Taylor series, residues, evaluation of integrals by
means of residues, conformal mapping, application to two-dimensional fluid
flow.  A student may not receive credit for this course and Math 427, or Caam
330.
001 TBA - TTH 10:50AM - 12:05PM         Polking, John C.          Enr: 0 Max: NA

MATH 390   UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Expository lectures by undergraduate students on various mathematical topics
not usually contained in other courses.  Each student is required to give one
lecture and to attend all sessions.
001 TBA - MF 12:05PM - 12:55PM          Jones, Frank              Enr: 0 Max: NA

MATH 402   DIFFERENTIAL GEOMETRY                    Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Introduction to Riemannian geometry.  Additional topics may vary from year to
year.
Prereq- Math 401 and either Math 443 or permission of the instructor.
001 TBA - MWF 10:00AM - 10:50AM         Metzler, David Scott      Enr: 0 Max: NA

MATH 424   PARTIAL DIFF EQUATIONS                   Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
See Math 423.
001 TBA                                 Staff                     Enr: 0 Max: NA

MATH 426   REAL ANALYSIS                            Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Topics vary.  Past topics include:  Fourier series, harmonic analysis,
probabilty theory, advanced topics in measure theory, ergodic theory.
001 TBA - TTH 09:25AM - 10:40AM         Hardt, Robert M.          Enr: 0 Max: NA

MATH 427   COMPLEX ANALYSIS                         Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Cauchy-Riemann equations, power series, Cauchy's integral formula, residue
calculus, conformal mappings, special topics such as the Riemann mapping
theorem, elliptic function theory.
001 TBA - TTH 10:50AM - 12:05PM         Gao, Zhiyong              Enr: 0 Max: NA

MATH 443   GENERAL TOPOLOGY                         Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Basic point set topology.  Includes set theory, well ordering.  Metrization.
001 TBA - MWF 02:00PM - 02:50PM         Boshernitzan, Michael     Enr: 0 Max: NA

MATH 445   ALGEBRAIC TOPOLOGY                       Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
Introduction to the theory of homology.  Simplicial complexes, cell complexes
and cellular homology, cohomology, maifolds, Poincare Duality.
Prereq- Math 443 and either Math 356 or Math 463 or permission of instructor.
001 TBA - MWF 01:00PM - 01:50PM         Cochran, Tim D.           Enr: 0 Max: NA

MATH 464   ALGEBRA                                  Credits 3.00  Spring 00
* DISTRIBUTION COURSE: GROUP III
See Math 463.
001 TBA - MWF 11:00AM - 11:50AM         Stong, Richard A.         Enr: 0 Max: NA

MATH 490   SUPERVISED READING                       Credits   Spring 00
No description
001 TBA                                 Staff                     Enr: 0 Max: NA
002 TBA                                 TBA                       Enr: 0 Max: NA
003 TBA                                 TBA                       Enr: 0 Max: NA

MATH 501   TOPICS IN DIFF GEOMETRY                  Credits 3.00  Spring 00
Topic to be announced.
001 TBA                                 TBA                       Enr: 0 Max:

MATH 502   DIFFERENTIAL GEOMETRY                    Credits 3.00  Spring 00
The Atiyah-Singer theorem, secondary invariants, and related topics.
001 TBA                                 TBA                       Enr: 0 Max:

MATH 523   FUNCTIONAL ANALYSIS                      Credits 3.00  Spring 00
Locally convex spaces. Banach spaces. Hilbert spaces. Special topics.
001 TBA                                 Veech, William A.         Enr: 0 Max: NA

MATH 527   TOPICS: REAL ANALYSIS                    Credits 3.00  Spring 00
No description
001 TBA                                 Staff                     Enr: 0 Max: NA

MATH 542   TOPICS IN ADVANCD TOPOLOGY               Credits 3.00  Spring 00
No description
001 TBA - MWF 02:00PM - 02:50PM         Cochran, Tim D.           Enr: 0 Max: NA

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Spring 00
Expository lectures on topics of recent research in mathematics.  These
lectures are to be delivered by mathematics graduate students and faculty.
Material for the lectures will be frequently drawn from  recent published
lectures; for example, in the Bulletin of the American Mathematical Society or
the Russian Mathematics Surveys.
Prereq- permission of the department.
001 TBA - T 02:30PM - 03:50PM           Staff                     Enr: 0 Max: NA

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Spring 00
Discussion on teaching issues and practice lectures by participants as
preparation for classroom teaching of mathematics.
Prereq- Graduate student status or permission of department.
001 TBA - TH 02:30PM - 03:50PM          Staff                     Enr: 0 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits   Spring 00
No description
001 TBA                                 Staff                     Enr: 0 Max: NA