Rice Course Schedule, Fall 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  Fall 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 BL 123 - MWF 09:00AM - 09:50AM      Chatterjee, Pralay        Enr: 34 Max: 0
002 HZ AMP - MWF 11:00AM - 11:50AM      Jones, Frank              Enr: 103 Max: NA

MATH 102   SINGLE VARIABLE CALCULUS II              Credits 3.00  Fall 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.
Section 3 is limited to 25 students.
001 KH 100 - MWF 09:00AM - 09:50AM      Gao, Zhiyong              Enr: 130 Max: 0
002 HB 427 - MWF 09:00AM - 09:50AM      Wu, Yue                   Enr: 0 Max: 25
003 SS 106 - MWF 11:00AM - 11:50AM      Kim, Taehee               Enr: 60 Max: NA

MATH 111   FUNDAMENTAL THEOREM OF CALCULUS          Credits 3.00  Fall 03
* DISTRIBUTION COURSE: GROUP III
No description.
001 SH 207B - MWF 09:00AM - 09:50AM     Kim, Taehee               Enr: 32 Max: 0

MATH 211   ORDINARY DIFFERENTIAL EQUATIONS AND LINE Credits 3.00  Fall 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. Section 003 is Limited to 25 students.
Prereq- Math 102.
001 HUM 117 - MWF 09:00AM - 09:50AM     Song, Joung Min Jaime     Enr: 44 Max: 0
002 HZ 210 - MWF 11:00AM - 11:50AM      Polking, John C.          Enr: 83 Max: NA
003 BL 123 - MWF 11:00AM - 11:50AM      Meng, Zheng               Enr: 33 Max: NA
004 HZ 210 - TTH 09:25AM - 10:40AM      Spencer, James            Enr: 78 Max: NA

MATH 212   MULTIVARIABLE CALCULUS                   Credits 3.00  Fall 03
* 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 and 222.
001 HB 227 - MWF 08:00AM - 08:50AM      Song, Joung Min Jaime     Enr: 25 Max: 0

MATH 221   HONORS CALCULUS III                      Credits 3.00  Fall 03
* 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.
Prereq- permission of department.  A student may not receive credit for Math
222 and 212.
001 HB 227 - MWF 11:00AM - 11:50AM      Stong, Richard A.         Enr: 34 Max: 0

MATH 321   INTRODUCTION TO ANALYSIS I               Credits 3.00  Fall 03
* 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: 30 Max: 0

MATH 355   LINEAR ALGEBRA                           Credits 3.00  Fall 03
* 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      Alexander, Wendy          Enr: 69 Max: 0

MATH 368   TOPICS IN COMBINATORICS                  Credits 3.00  Fall 03
* 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: 35 Max: 0

MATH 381   INTRODUCTION TO PARTIAL DIFFERENTIAL EQU Credits 3.00  Fall 03
* 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 210 - MWF 01:00PM - 01:50PM      Hitchman, Theron          Enr: 54 Max: 0

MATH 401   DIFFERENTIAL GEOMETRY                    Credits 3.00  Fall 03
* 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 423 - TTH 10:50AM - 12:05PM      Hardt, Robert M.          Enr: 11 Max: 0

MATH 423   PARTIAL DIFFERENTIAL EQUATIONS           Credits 3.00  Fall 03
* 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      Wiandt, Tamas             Enr: 10 Max: 0

MATH 425   INTEGRATION THEORY                       Credits 3.00  Fall 03
* DISTRIBUTION COURSE: GROUP III
Lebesgue theory of measure and integration.
001 HB 427 - MWF 10:00AM - 10:50AM      Jones, Frank              Enr: 23 Max: NA

MATH 428   TOPICS IN COMPLEX ANALYSIS               Credits 3.00  Fall 03
* DISTRIBUTION COURSE: GROUP III
Special topics include Riemann mapping theorem, Runge's Theorem, elliptic
function theory, prime number theorem, Riemann surfaces, et al.
001 HB 427 - TTH 09:25AM - 10:40AM      Wolf, Michael             Enr: 7 Max: 0

MATH 444   GEOMETRIC TOPOLOGY                       Credits 3.00  Fall 03
* DISTRIBUTION COURSE: GROUP III
Introduction to algebraic methods in topology and differential topology.
Elementary homotopy theory.  Covering spaces.
001 HB 453 - MWF 09:00AM - 09:50AM      Hempel, John P.           Enr: 13 Max: 0

MATH 463   ALGEBRA I                                Credits 3.00  Fall 03
* 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 423 - MWF 11:00AM - 11:50AM      Chatterjee, Pralay        Enr: 13 Max: 0

MATH 465   TOPICS IN ALGEBRA                        Credits 3.00  Fall 03
Content varies from year to year.
Pre-req- Math 356 or Math 463 or permission of the instructor.
001 HB 453 - MWF 01:00PM - 01:50PM      Hyeon, Donghoon David     Enr: 6 Max: 0

MATH 468   POTPOURRI                                Credits 3.00  Fall 03
This course deals with miscellaneous special topics not covered in other
courses.
Prereq- Math 321 and either Math 382 or Math 427 (which may be taken
concurrently), or permission of the instructor.
001 HB 423 - MWF 01:00PM - 01:50PM      Wiandt, Tamas             Enr: 9 Max: NA
002 HB 423 - MWF 09:00AM - 09:50AM      Semmes, Stephen           Enr: 3 Max: NA

MATH 490   SUPERVISED READING                       Credits   Fall 03
No description.
001 TBA - TBA                           Staff                     Enr: 5 Max: 0
002 TBA - TBA                           Staff                     Enr: 0 Max: NA
003 TBA - TBA                           Staff                     Enr: 0 Max: NA

MATH 499   MATHEMATICAL SCIENCES VIGRE SEMINAR      Credits   Fall 03
Independent Study.
001 TBA - TBA                           Staff                     Enr: 10 Max: NA

MATH 527   ERGODIC THEORY                           Credits 3.00  Fall 03
Topic to be announced.
001 HB 453 - MWF 11:00AM - 11:50AM      Veech, William A.         Enr: 2 Max: NA

MATH 541   TOPICS IN TOPOLOGY                       Credits 3.00  Fall 03
Topic to be announced.
001 HB 423 - TTH 01:00PM - 02:20PM      Cochran, Tim D.           Enr: 11 Max: 0

MATH 590   CURRENT MATHEMATICS SEMINAR              Credits 1.00  Fall 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 - T 02:30PM - 03:50PM        Song, Joung Min Jaime     Enr: 28 Max: 0

MATH 591   GRADUATE TEACHING SEMINAR                Credits 1.00  Fall 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 227 - TH 02:30PM - 03:50PM       Masters, Joseph           Enr: 21 Max: 0

MATH 699   MATHEMATICAL SCIENCES VIGRE SEMINAR      Credits   Fall 03
Independent Study.
001 TBA - TBA                           Staff                     Enr: 3 Max: NA

MATH 800   THESIS AND RESEARCH                      Credits   Fall 03
No description.
001 TBA - TBA                           Staff                     Enr: 10 Max: 0