Rice Course Schedule, Spring 2001
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 01
* 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      Huff, Robert              Enr: 23 Max: NA

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Spring 01
* 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 309 - MWF 09:00AM - 09:50AM      Pauls, Scott D.           Enr: 25 Max: NA
002 HB 427 - MWF 11:00AM - 11:50AM      Huang, Zheng              Enr: 13 Max: NA
003 HZ 212 - MWF 11:00AM - 11:50AM      Masters, Joseph           Enr: 79 Max: NA

MATH 112   CALCULUS AND ITS APPLICATIONS            Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
See Math 111.
001 GRB 212W - MWF 09:00AM - 09:50AM    Chang, Stanley            Enr: 33 Max: NA

MATH 211   ORDINARY DIFFERENTIAL EQUATIONS AND LINE Credits 3.00  Spring 01
* 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 08:00AM - 08:50AM      Polking, John C.          Enr: 42 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Spring 01
* 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 SH 301 - MWF 09:00AM - 09:50AM      Slimowitz, Jennifer       Enr: 30 Max: NA
002 HZ AMP - MWF 11:00AM - 11:50AM      Hoffoss, Diane            Enr: 28 Max: NA
003 HZ 210 - TTH 09:25AM - 10:40AM      Gao, Zhiyong              Enr: 142 Max: NA

MATH 222   HONORS CALCULUS IV                       Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
See Math 221.
001 HB 227 - MWF 11:00AM - 11:50AM      Jones, Frank              Enr: 9 Max: NA

MATH 322   INTRODUCTION TO ANALYSIS II              Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
See Math 321.  Includes proofs of the basic results for
multivariable calculus
(MATH 321 provides proofs for single-variable calculus).
001 HB 227 - MWF 03:00PM - 03:50PM      Pauls, Scott D.           Enr: 8 Max: NA

MATH 356   ABSTRACT ALGEBRA                         Credits 3.00  Spring 01
* 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 BL 131 - MWF 02:00PM - 02:50PM      Masters, Joseph           Enr: 16 Max: NA

MATH 366   GEOMETRY                                 Credits 3.00  Spring 01
* 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 427 - MWF 03:00PM - 03:50PM      Chang, Stanley            Enr: 14 Max: NA

MATH 382   COMPLEX ANALYSIS                         Credits 3.00  Spring 01
* 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 427 - MWF 08:00AM - 08:50AM      Jones, Frank              Enr: 17 Max: NA

MATH 390   UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Spring 01
* 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: 5 Max: NA

MATH 402   DIFFERENTIAL GEOMETRY                    Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
Introduction to Riemannian geometry.  Content varies from year to year.
Prereq- Math 401 and either Math 443 or permission of the instructor.
001 HB 427 - TTH 10:50AM - 12:05PM      Gao, Zhiyong              Enr: 7 Max: NA

MATH 426   TOPICS IN REAL ANALYSIS                  Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
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 09:25AM - 10:40AM      Veech, William A.         Enr: 5 Max: NA

MATH 427   COMPLEX ANALYSIS                         Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
Study of the Cauchy-Riemann equation, power series, Cauchy's integral formula,
residue calculus, and conformal
mappings.
001 HB 423 - MWF 10:00AM - 10:50AM      Evans, Richard            Enr: 9 Max: NA

MATH 443   GENERAL TOPOLOGY                         Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
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 423 - MWF 02:00PM - 02:50PM      Boshernitzan, Michael     Enr: 3 Max: NA

MATH 445   ALGEBRAIC TOPOLOGY                       Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
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: 12 Max: NA

MATH 464   ALGEBRA II                               Credits 3.00  Spring 01
* DISTRIBUTION COURSE: GROUP III
See Math 463.
001 HB 453 - MWF 11:00AM - 11:50AM      Boshernitzan, Michael     Enr: 6 Max: NA

MATH 465   TOPICS IN ALGEBRA                        Credits 3.00  Spring 01
Content varies from year to year.
Pre-req- Math 356 or Math 463 or permission of the instructor.
001 HB 423 - MWF 09:00AM - 09:50AM      Semmes, Stephen           Enr: 8 Max: NA

MATH 490   SUPERVISED READING                       Credits 3.00  Spring 01
No description.
001 TBA - TBA
TBA - TBA                Staff                     Enr: 9 Max: NA
002 TBA - TBA                           Staff                     Enr: 2 Max: NA
003 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 490   SUPERVISED READING                       Credits 3.00  Spring 01
No description.
001 TBA - TBA                           Staff                     Enr: 0 Max: NA
002 TBA - TBA                           Staff                     Enr: 0 Max: NA
003 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 502   TOPICS IN DIFFERENTIAL GEOMETRY          Credits 3.00  Spring 01
The Atiyah-Singer theorem, secondary invariants, and related topics.
001 HB 427 - TTH 01:00PM - 02:15PM      Forman, Robin             Enr: 5 Max: NA

MATH 527   ERGODIC THEORY AND TOPOLOGICAL DYNAMICS  Credits 3.00  Spring 01
No description
001 HB 427 - TTH 09:25AM - 10:40AM      Staff                     Enr: 0 Max: NA

MATH 542   TOPICS IN ADVANCED TOPOLOGY              Credits 3.00  Spring 01
No description
001 HB 427 - MWF 02:00AM - 02:50PM      Cochran, Tim D.           Enr: 8 Max: NA

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Spring 01
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 423 - T 02:30PM - 03:50PM        Masters, Joseph           Enr: 19 Max: NA

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Spring 01
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       Evans, Richard            Enr: 11 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits   Spring 01
No description.
001 TBA - TBA                           Staff                     Enr: 14 Max: NA