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Rice Course Schedule, Spring 1999
Computational and Applied Math (CAAM)

Rice Course Schedule as of 03/26/1999. 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 CAAM courses.


CAAM   211 INTRO TO ENG COMPUTATION                 Credits 3.00  Spring 99
           * DISTRIBUTION COURSE: GROUP III
Introduction to engineering and scientific computation:  Engineering
workstations, programming software systems, and numerical methods.
Laboratory to illustrate the application of computational and
visualization methods to problem analysis.  Matlab serves as the primary
computational and display tool with supplementary programs written in
FORTRAN. Only one of the two courses Caam 210, 211 may be taken for
credit.
Prereq- Math 101, Phys 101
001 MWF     02:00PM-02:50PM BL*131   Zhang, Yin                     *CURRENT ENR: 100

CAAM   322 INTRO TO REAL ANAYSIS II                 Credits 3.00  Spring 99
Continuation of Caam 321.  Linear maps and matrices, matrix norms,
convergence of sequences, continuity and differentiability of functions
on Rn, the derivative as a linear map, normed linear spaces,
completeness, the contraction mapping principle, inverse and implicit
function theorems, fundamental theorems on ODEs, compactness,
multivariate integration.
Prereq- Caam 321.
001 TTH     10:50AM-12:05PM DH*1064  Heinkenschloss, Matthias       *CURRENT ENR: 10

CAAM   335 MATRIX ANALYSIS                          Credits 3.00  Spring 99
Equilibria and the solution of linear and linear least squares problems.
Dynamical systems and the eigenvalue problem with the Jordan form and
Laplace transform via complex integration.
Prereq- Math 212 and Caam 210 or 211.
001 MWF     09:00AM-09:50AM DH*1042  Cox, Steven                    *CURRENT ENR: 37

CAAM   336 DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00  Spring 99
Green's functions, exponential and series solutions, and numerical
methods for initial and boundary value problems of mathematical physics.
Dynamics of mass-spring systems and circuits, equilibria of solids,
fluids and electromagnetic fields, heat flow and wave motion.  Emphasis
on scientific and engineering motivation and consequences and on modern
computational methods.
Prereq- Math 212 and Caam 210 or 211.
001 MWF     01:00PM-01:50PM PL*AMP   Gockenbach, Mark               *CURRENT ENR: 85

CAAM   353 COMPUTATN'L NUMERICAL ANALYSIS           Credits 3.00  Spring 99
An introductory course in numerical analysis with computer applications.
Prereq- Math 211.
001 MWF     11:00AM-11:50AM DH*1064  TBA                            *CURRENT ENR: 54

CAAM   378 INTRO TO OPERATIONS RESEARCH             Credits 3.00  Spring 99
An alternative to Caam 376 for students with a year of calculus.  Some
knowledge of linear algebra and of probability is desirable.
001 MWF     02:00PM-02:50PM DH*1042  Dean, Nathaniel                *CURRENT ENR: 14

CAAM   381 INTRO TO APPLIED PROBABILITY             Credits 3.00  Spring 99
Concepts, interpretations, elementary techniques, and applications of
modern probability theory,
Prereq- Math 102.
001 TTH     09:25AM-10:40AM DH*1075  TBA                            *CURRENT ENR: 6

CAAM   420 INTRO COMPUTATIONAL SCIENCE              Credits 3.00  Spring 99
Basic principles of computational science, including vector and parallel
computer architectures, parallel numerical algorithms, scientific
visualization, analysis and enhancement of performance, and use of
programming tools and environments.  Programming assignments will
involve hands-on experience with supercomputers and parallel computers.
Prereq- Comp 210 and Caam 353.
001 MWF     11:00AM-11:50AM DH*1042  Moore, Douglas                 *CURRENT ENR: 7

CAAM   437 PARTIAL DIFFERENTIAL  EQUATIONS II       Credits 3.00  Spring 99
Continuation of Caam 436.  Newtonian heat flow, the Gaussian kernel,
Fourier transform in L2, analysis of smoothing property, Maxwell's
equations, weak solutions, distributions, propagation of discontinuity
in 1D, Green's function in 3D, Fourier analysis, additional topics at
discretion of instructor.
Prereq- Caam 436.
001 TTH     01:30PM-02:50PM          Kloucek, Petr                  *CURRENT ENR: 1

CAAM   452 COMP METHODS FOR DIFF. EQUA.             Credits 4.00  Spring 99
Finite difference, variational, and collocation methods for
approximating numerically the solutions of ordinary and partial
differential equations.  Computer implementation to verify convergence
to the solution.
Prereq- Caam 335 and 336 or permission of instructor.
001 TTH     09:25AM-10:40AM PL*117   Kloucek, Petr                  *CURRENT ENR: 8

CAAM   454 OPTIMIZATION PROBLEMS IN COMPUTATIONAL E Credits 3.00  Spring 99
An introduction to the formulation of optimization problems, with
practical applications.  Topics include appropriate algorithms for
systems of nonlinear equations, parameter identification for
differential equations, basic reduction methods, and examples from
computational engineering and science.  A complement to CAAM 460.
Prerequisites:  Proficiency in Fortran or C, and understanding of
numerical linear algebra and calculus.
001 TTH     02:30PM-03:50PM DH*1075  Heinkenschloss, Matthias       *CURRENT ENR: 17

CAAM   475 INTEGER & COMB. OPTIMIZATION             Credits 3.00  Spring 99
Modeling and solving optimization problems with discrete components,
graphs and networks; network flow problems; minimum spanning trees;
basic polyhedral theory; the knapsack problem; the plant location
problem; the set packing problem; computational complexity; branch and
bound; cutting planes; Lagrangian relaxation and Bender's decomposition.
Prereq- Caam 471.
Also offered as Econ 475.
001 MWF     10:00AM-10:50AM DH*1042  Cook, William                  *CURRENT ENR: 10

CAAM   491 INDEPENDENT STUDY                        Credits 3.00  Spring 99
001 TBA     TBA                      TBA                            *CURRENT ENR: 3

CAAM   502 UNIX FOR SCIENTIFIC & ENGINEERING APPLIC Credits 1.00  Spring 99
Continuation of Caam 501.
001 W       12:00PM-12:50PM DH*1042  Pearlman, Michael              *CURRENT ENR: 9

CAAM   513 CONSULTING                               Credits 3.00  Spring 99
Learn about various research topics in applied mathematics.  Lectures in
consulting, presentation skills and various topics, as needed for the
consulting projects.
Prereq- Permission of instructor.
001 TBA     TBA                      Borcea, Liliana                *CURRENT ENR: 4

CAAM   522 PROGRAMMING FOR COMPUTATIONAL MATHEMATIC Credits 3.00  Spring 99
Programming techniques, style, data structures, and algorithms for
efficient computational mathematics.
Prereq- Caam 210 or Caam 211; Caam 501 or permission of instructor.
001 TTH     04:00PM-05:15PM DH*1042  Applegate, David               *CURRENT ENR: 7

CAAM   540 APPLIED FUNCTIONAL ANALYSIS              Credits 3.00  Spring 99
Hilbert spaces, Banach spaces, spectral theory, and weak topologies with
applications to signal processing, control, and partial differential
equations.
Prereq- Math 425 of permission of instructor.
001 TTH     10:50AM-12:05PM DH*1075  Cox, Steven                    *CURRENT ENR: 18

CAAM   551 ADV NUMERICAL LINEAR ALGEBRA             Credits 3.00  Spring 99
Iterative and/or direct methods for large scale problems.
001 TTH     10:50AM-12:05PM          TBA                            *CURRENT ENR: 0

CAAM   554 NUM NONLINEAR PROGRAMMING                Credits 3.00  Spring 99
Analysis of modern numerical methods for constrained problems, including
variable metric methods, successive quadratic programming, and trust
region methods.
001 TTH     09:25AM-10:40AM DH*1064  0028674                        *CURRENT ENR: 3

CAAM   564 ENGI APPROACH TO OPTIMAL CONTROL         Credits 3.00  Spring 99
Optimal control theory and calculus of variations.  Minimization of
functionals depending on variable subject to differential constraints,
nondifferential constraints, initial constraints, and final constraints.
Analytical and computational methods.  Engineering applications.
Also offered as Mech 564.
001 TTH     04:00PM-05:20PM RL*231   Miele, Angelo                  *CURRENT ENR: 0

CAAM   571 ADV INTEGER&COMBINAT.OPTIMIZAT           Credits 3.00  Spring 99
Material will vary from year to year.  Emphasis will be on methods for
solving optimization problems with discrete components.  Possible topics
include:  polyhedral structure of fundamental problem classes; matrix
properties of integral polyhedra; cardinality and weighted matching;
matroids and polymatroids; submodular functions; the ellipsoid algorithm
and its consequences; integer lattices; advanced integer programming
techniques.
Prereq- Caam 475.
001 TTH     10:50AM-12:05PM HB*22    Dean, Nathaniel                *CURRENT ENR: 4

CAAM   575 TOPICS IN INTEGER PROGRAMMING            Credits 3.00  Spring 99
Seminar on selected topics in integer programming.  Topics will vary
from year to year.  May be repeated for credit.
001 W       02:00PM-05:00PM DH*1046  Applegate, David               *CURRENT ENR: 8

CAAM   582 MATHEMATICAL PROBABILITY II              Credits 3.00  Spring 99
Continuation of Caam 581.
001 MWF     10:00AM-10:50AM DH*1046  TBA                            *CURRENT ENR: 0

CAAM   584 DETECTION & ESTIMATION THEORY            Credits 3.00  Spring 99
Maximum likelihood and Bayesian vector parameter estimation.  Minimum
mean square error estimation.  Time series analysis.  Algorithms based
on state variable and ARMA models for signal estimation, model
identification, and spectral estimation.
Prereq- Caam 381 (Caam 583 recommended).
001 TBA     TBA                      TBA                            *CURRENT ENR: 0

CAAM   591 INDEPENDENT STUDY                        Credits 1.00  Spring 99
001 TBA     TBA                      TBA                            *CURRENT ENR: 9

CAAM   592 TOPICS IN APPLIED MATH                   Credits 3.00  Spring 99
001 MW      04:00PM-05:30PM DH*1075  Gockenbach, Mark               *CURRENT ENR: 7

CAAM   652 TOPICS IN NUM PART DIFF EQUAT            Credits 3.00  Spring 99
Content varies from year to year.
001                                  TBA                            *CURRENT ENR: 0

CAAM   654 TOPICS IN OPTIMIZATION                   Credits 3.00  Spring 99
Content varies from year to year.
001 WF      03:00PM-03:50PM DH*1042  0028674                        *CURRENT ENR: 8

CAAM   800 THESIS                                   Credits 0.00  Spring 99
001 TBA     TBA                      TBA                            *CURRENT ENR: 11



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