Rice Course Schedule, Spring 2003
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  Spring 03
* 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 GRB 211W - MWF 09:00AM - 09:50AM    Staff                     Enr: 36 Max: NA

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Spring 03
* 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 305 - MWF 09:00AM - 09:50AM      Masters, Joseph           Enr: 37 Max: NA
003 BL 131 - MWF 11:00AM - 11:50AM      Masters, Joseph           Enr: 91 Max: NA

MATH 112   CALCULUS AND ITS APPLICATIONS            Credits 3.00  Spring 03
* DISTRIBUTION COURSE: GROUP III
See Math 111.
001 HB 423 - MWF 09:00AM - 09:50AM      Clark, Gregory            Enr: 10 Max: 0

MATH 211   ORDINARY DIFFERENTIAL EQUATIONS AND LINE Credits 3.00  Spring 03
* 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 HZ 210 - TTH 10:50AM - 12:05PM      Wiandt, Tamas             Enr: 74 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Spring 03
* 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 KH 100 - MWF 09:00AM - 09:50AM      Gao, Zhiyong              Enr: 205 Max: NA
002 BL 123 - MWF 11:00AM - 11:50AM      Hyeon, Donghoon David     Enr: 33 Max: NA
003 HB 227 - TTH 09:25AM - 10:40AM      Evans, Richard            Enr: 16 Max: NA

MATH 222   HONORS CALCULUS IV                       Credits 3.00  Spring 03
* DISTRIBUTION COURSE: GROUP III
See Math 221.
001 DH 1075 - MWF 11:00AM - 11:50AM     Gao, Zhiyong              Enr: 18 Max: 0

MATH 322   INTRODUCTION TO ANALYSIS II              Credits 3.00  Spring 03
See Math 321.  Includes proofs of the basic results for
multivariable calculus
(MATH 321 provides proofs for single-variable calculus).
001 HB 427 - MWF 03:00PM - 03:50PM      Semmes, Stephen           Enr: 8 Max: 0

MATH 356   ABSTRACT ALGEBRA                         Credits 3.00  Spring 03
* 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 HB 227 - MWF 02:00PM - 02:50PM      Hyeon, Donghoon David     Enr: 12 Max: 0

MATH 366   GEOMETRY                                 Credits 3.00  Spring 03
* 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 HB 227 - MWF 03:00PM - 03:50PM      Hassett, Brendan          Enr: 32 Max: 0

MATH 382   COMPLEX ANALYSIS                         Credits 3.00  Spring 03
* DISTRIBUTION COURSE: GROUP III
Study of the Cauchy integral theorem, Taylor series, residues, as well as the
evaluation of integrals by means of residues, conformal mapping, and
application to two-dimensional fluid flow.  May not receive credit for this
course and Math 427.
001 HB 227 - MWF 01:00PM - 01:50PM      Song, Joung Min Jaime     Enr: 26 Max: 0

MATH 390   UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Spring 03
* 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 423 - MF 12:05PM - 12:50PM       Jones, Frank              Enr: 7 Max: NA

MATH 402   DIFFERENTIAL GEOMETRY                    Credits 3.00  Spring 03
Introduction to Riemannian geometry.  Content varies from year to year.
Prereq- Math 401 and either Math 443 or permission of the instructor.
001 HB 423 - TTH 09:25AM - 10:40AM      Wolf, Michael             Enr: 3 Max: 0

MATH 424   PARTIAL DIFFERENTIAL EQUATIONS           Credits 3.00  Spring 03
See Math 423.
001 HB 423 - MWF 02:00PM - 02:50PM      Jones, Frank              Enr: 8 Max: 0

MATH 426   TOPICS IN REAL ANALYSIS                  Credits 3.00  Spring 03
Content varies from year to year.  May include Fourier series, harmonic
analysis, probabilty theory, advanced topics in measure theory, ergodic theory,
and elliptic
integrals.
001 HB 423 - TTH 01:00PM - 02:20PM      Veech, William A.         Enr: 2 Max: 0

MATH 427   COMPLEX ANALYSIS                         Credits 3.00  Spring 03
Study of the Cauchy-Riemann equation, power series, Cauchy's integral formula,
residue calculus, and conformal
mappings.
001 HB 427 - MWF 10:00AM - 10:50AM      Boshernitzan, Michael     Enr: 9 Max: 0

MATH 443   GENERAL TOPOLOGY                         Credits 3.00  Spring 03
Study of basic point set topology.  Includes a treatment of cardinality and
well ordering, as well as metrization.
Prereq: MATH 321 or permission of instructor recommended.
001 HB 427 - MWF 02:00PM - 02:50PM      Clark, Gregory            Enr: 8 Max: 0

MATH 445   ALGEBRAIC TOPOLOGY                       Credits 3.00  Spring 03
Introduction to the theory of homology.  Includes simplicial complexes, cell
complexes and cellular homology and cohomology, as well as manifolds, and
Poincare Duality.
Prereq- Math 444 and either Math 356 or Math 463 or permission of instructor.
001 HB 427 - MWF 01:00PM - 01:50PM      Cochran, Tim D.           Enr: 10 Max: 0

MATH 464   ALGEBRA II                               Credits 3.00  Spring 03
See Math 463.
001 HB 423 - MWF 11:00AM - 11:50AM      Boshernitzan, Michael     Enr: 8 Max: 0

MATH 465   TOPICS IN ALGEBRA                        Credits 3.00  Spring 03
Content varies from year to year.
Pre-req- Math 356 or Math 463 or permission of the instructor.
001 HB 427 - MWF 09:00AM - 09:50AM      Hassett, Brendan          Enr: 5 Max: 0

MATH 468   POTPOURRI                                Credits 3.00  Spring 03
This course will consider power series, real analytic functions, and some
related matters.
Prereq- Math 321 and either Math 382 or Math 427 (which may be taken
concurrently), or permission of the instructor.
001 TBA - TTH 01:00PM - 02:20PM         Semmes, Stephen           Enr: 3 Max: NA

MATH 490   SUPERVISED READING                       Credits   Spring 03
No description.
001 TBA - TBA                           Staff                     Enr: 6 Max: NA
002 TBA - TBA                           Staff                     Enr: 1 Max: NA
003 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 502   TOPICS IN DIFFERENTIAL GEOMETRY          Credits 3.00  Spring 03
The Atiyah-Singer theorem, secondary invariants, and related topics.
001 HB 427 - TTH 10:50AM - 12:05PM      Forman, Robin             Enr: 20 Max: 0

MATH 522   TOPICS IN  REAL ANALYSIS                 Credits 3.00  Spring 03
Geometric Measure Theory treats measure-theoretic properties of geometrically
defined sets of various dimensions. Some of the critical notions are  Hausdorff
measure, rectifiable sets, and rectifiable currents.  The k dimensional
Hausdorff (outer) measure  H k(A) gives, for every nonnegative number  k ,  a
precise notion of the k  dimensional size of  A .  Rectifiable sets and
currents arise as limits of k dimensional manifolds. these occur in the
solution of the Plateau Problem of finding a  k  dimensional surface of least
k dimensional area having a given boundary.
Graduate student standing or permission of instructor.
001 TBA - MWF 12:00PM - 12:50PM         Staff                     Enr: 7 Max: NA

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Spring 03
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 227 - TTH 02:30PM - 03:45PM      Staff                     Enr: 25 Max: NA

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Spring 03
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 427 - T 02:30PM - 03:30PM        Staff                     Enr: 15 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits   Spring 03
No description.
001 TBA - TBA                           Staff                     Enr: 13 Max: NA