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Rice Course Schedule, Fall 1999
Mathematics (MATH)

Rice Course Schedule as of 10/21/1999. This schedule is maintained by the Office of the Registrar (reg@rice.edu).

Additional information about Rice courses is available on the Rice Academic Information page. NOTE: Course web pages are available for some MATH courses.


MATH   101 SINGLE VARIABLE CALCULUS I               Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
           *** Hour exams 8 AM TTH ***
Differentiation, extrema, Newton's method, integration, fundamental
theorem of calculus, area, volume, natural logarithm, exponential.
001 MWF     09:00AM-09:50AM HB*227   Pauls, Scott                   *CURRENT ENR: 4
002 MWF     11:00AM-11:50AM PL*212   Stong, Richard                 *CURRENT ENR: 4

MATH   102 SINGLE VARIABLE CALCULUS II              Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
           *** Hour exams 8 AM TTH ***
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 MWF     09:00AM-09:50AM CL*LEC   TBA                            *CURRENT ENR: 0
003 MWF     11:00AM-11:50AM PL*210   Gao, Zhiyong                   *CURRENT ENR: 11

MATH   111 FUNDAMENTAL THEOREM OF CALCULUS          Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
           *** Hour exams 8 AM TTH ***
001 MWF     09:00AM-09:50AM GRB*212W Wells, Raymond                 *CURRENT ENR: 15

MATH   211 ORDINARY DIFFERENTIAL  EQUATIONS AND LIN Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
           *** Hour exams 8 AM TTH ***
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 MWF     09:00AM-09:50AM BL*131   Slimowitz, Jennifer            *CURRENT ENR: 31
002 MWF     11:00AM-11:50AM SS*337   Crowley, Katherine             *CURRENT ENR: 25
003 MWF     11:00AM-11:50AM SH*301   Metzler, David                 *CURRENT ENR: 120
004 TTH     09:25AM-10:40AM PL*210   Polking, John                  *CURRENT ENR: 24

MATH   212 MULTIVARIABLE CALCULUS                   Credits 3.00  Fall 99
           * 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 MWF     08:00AM-08:50AM HB*227   TBA                            *CURRENT ENR: 15

MATH   221 HONORS CALCULUS III                      Credits 3.00  Fall 99
           * 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 MWF     11:00AM-11:50AM HB*227   Wolf, Michael                  *CURRENT ENR: 3

MATH   321 INTRODUCTION TO ANALYSIS I               Credits 3.00  Fall 99
           * 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 MWF     03:00PM-03:50PM HB*227   Semmes, Stephen                *CURRENT ENR: 21

MATH   355 LINEAR ALGEBRA                           Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
Linear transformations and matrices, solution of linear equations,
eigenvalues and eigenvectors, quadratic forms, rational canonical form,
Jordan canonical form.
001 MWF     02:00PM-02:50PM BL*131   TBA                            *CURRENT ENR: 81

MATH   368 INTRODUCTION TO COMBINATORICS            Credits 3.00  Fall 99
           * 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 MWF     03:00PM-03:50PM HB*423   Forman, Robin                  *CURRENT ENR: 10

MATH   381 INTRODUCTION TO PARTIAL  DIFFERENTIAL EQ Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
Laplace transform:  inverse transform, applications to constant
coefficient differential equations.  Boundary value problems:  Fourier
series, Bessel functions, Legendre polynomials. A student may not
receive credit for this course and Caam 340.
001 MWF     01:00PM-01:50PM HB*227   Pauls, Scott                   *CURRENT ENR: 40

MATH   390 UNDERGRADUATE COLLOQUIUM                 Credits 1.00  Fall 99
           * 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 MF      12:05PM-12:55PM HB*227   Jones, Frank                   *CURRENT ENR: 3

MATH   401 DIFFERENTIAL GEOMETRY                    Credits 3.00  Fall 99
           * 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 TTH     01:00PM-02:20PM HB*427   Harvey, Reese                  *CURRENT ENR: 18

MATH   423 PARTIAL DIFFERENTIAL EQUATIONS           Credits 3.00  Fall 99
           * 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 MWF     02:00PM-02:50PM HB*423   Jones, Frank                   *CURRENT ENR: 14

MATH   425 INTEGRATION THEORY                       Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
Lebesgue theory of measure and integration.
001 MWF     10:00AM-10:50AM HB*453   Wolf, Michael                  *CURRENT ENR: 13

MATH   428 COMPLEX ANALYSIS                         Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
Special topics include Riemann mapping theorem, Runge's Theorem,
elliptic function theory, prime number theorem, Riemann surfaces.
001 TTH     09:25AM-10:40AM HB*423   Veech, William                 *CURRENT ENR: 0

MATH   444 GEOMETRIC TOPOLOGY                       Credits 3.00  Fall 99
           * DISTRIBUTION COURSE: GROUP III
Introduction to algebraic methods in topology and differential topology.
Elementary homotopy theory.  Covering spaces.
001 MWF     09:00AM-09:50AM HB*423   Forman, Robin                  *CURRENT ENR: 6

MATH   463 ALGEBRA I                                Credits 3.00  Fall 99
           * 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 MWF     11:00AM-11:50AM HB*453   Hempel, John                   *CURRENT ENR: 9

MATH   490 SUPERVISED READING                       Credits 1.00  Fall 99
001 TBA     TBA                      TBA                            *CURRENT ENR: 5
002 TBA     TBA                      TBA                            *CURRENT ENR: 1
003 TBA     TBA                      TBA                            *CURRENT ENR: 1

MATH   521 ADVANCED TOPIS IN REAL ANALYSIS          Credits 3.00  Fall 99
Seminar in real analysis. May include singular integral operators,
maximal functions, Hardy spaces, Lipschitz spaces, and Soblev spaces.
Prereq- graduate student standing or permission of instructor.
001 TTH     01:00PM-02:20PM HB*22    Hardt, Robert                  *CURRENT ENR: 7

MATH   541 TOPICS IN TOPOLOGY                       Credits 3.00  Fall 99
For students who have completed a first course in algebraic topology.
Tools basic to study of 3-manifolds and/by their fundamental groups,
also topics of current research interest.
001 TTH     10:50AM-12:05PM HB*427   Hempel, John                   *CURRENT ENR: 6

MATH   590 CURRENT MATHEMATICS SEMINAR              Credits 1.00  Fall 99
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 T       02:30PM-03:50PM HB*427   TBA                            *CURRENT ENR: 14

MATH   591 GRADUATE TEACHING SEMINAR                Credits 1.00  Fall 99
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 TH      02:30PM-03:50PM HB*227   TBA                            *CURRENT ENR: 12

MATH   800 THESIS AND RESEARCH                      Credits 1.00  Fall 99
001 TBA     TBA                      TBA                            *CURRENT ENR: 6



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