Rice Course Schedule, Fall 2002
Computational and Applied Math (CAAM)

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NOTE: Course web pages are available for some CAAM courses.

CAAM 210   INTRO TO ENG COMPUTATION                 Credits 3.00  Fall 02
* 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 C. Only one of the courses Caam 210, 211
may be taken for credit.
Prereq- Math 101
001 BL 131 - MWF 01:00PM - 01:50PM      Cox, Steven J.            Enr: 65 Max: 0

CAAM 335   MATRIX ANALYSIS                          Credits 3.00  Fall 02
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 SH 301 - MWF 01:00PM - 01:50PM      Kloucek, Petr             Enr: 84 Max: 0

CAAM 376   INTRO TO MANAGEMENT SCIENCE              Credits 3.00  Fall 02
An introduction to operations research techniques that are useful in managerial
decision making.  The emphasis in the course is on formulating models,
evaluating their strengths and weaknesses, and interpreting their solutions.
Applications are taken from finance, production planning, transportation,
inventory control, and other management areas.
Prereq- a statistics course.
001 DH 1070 - MWF 08:00AM - 08:50AM     Dean, Nathaniel           Enr: 63 Max: 0

CAAM 378   INTRODUCTION TO OPERATIONS RESEARCH AND  Credits 3.00  Fall 02
Mathematical models from management, economics, engineering and
science in
which one seeks to minimize or maximize an objective
function subject to
constraints, including models in linear,
nonlinear and integer programming;
some basic solution methods
for these optimization models; problem-solving
using a modeling
language and optimization software.
Prereq- Math 211
001 HB 227 - MWF 02:00PM - 02:50PM      Krishnan, Kartik          Enr: 6 Max: NA

CAAM 401   ANALYSIS I                               Credits 3.00  Fall 02
Real numbers completeness, sequences and convergence, continuity, the
derivative, the Riemann integral, fundamental theorem of calculus. Vectors
spaces, dimension, linear maps, inner products and norms.
Prereq- MATH 211 and 212 or permission of instructor.
001 TBA - TTH 10:50AM - 12:05PM         Borcea, Liliana           Enr: 16 Max: NA

CAAM 420   COMPUTATIONAL SCIENCE I                  Credits 3.00  Fall 02
Scientific programming using high level languages, including C, Fortran, and
C++. Emphasis on use of numerical libraries. Basic techniques of project
planning, source management, documentation, program construction, i/o,
visualization. Object-oriented design for numerical computation.
Pre-req- CAAM 210 or 211, CAAM 335 or 353, or consent of instructor.
001 DH 1075 - MWF 11:00AM - 11:50AM     Fagan, Michael            Enr: 23 Max: NA

CAAM 436   PDEs OF MATHEMATICAL PHYSICS             Credits 3.00  Fall 02
Derivation and properties of solutions of the partial differential equations of
continuum physics. Basic concepts of continuum mechanics, ideal fluids,
Navier-Stokes equations, linear elasticity, acoustics, basic principles of
thermodynamics, Newtonian heat flow, porous flow, Maxwell's equations,
electrical circuits.
Prereq- CAAM 336 or permission of the instructor.
001 DH 1042 - TTH 09:25AM - 10:40AM     Borcea, Liliana           Enr: 13 Max: 0

CAAM 453   NUMERICAL ANALYSIS I                     Credits 3.00  Fall 02
Construction and analysis of numerical algorithms for root
finding,
interpolation and approximation of functions, quadrature, and the
solution
of differential equations; fundamentals of computer arithmetic;
solution of
linear systems, least squares problems, and eigenvalue problems via
matrix
factorizations; the singular value decomposition
(SVD) and basic
sensitivity analysis.
Prereq- CAAM 335 or permission of the instructor. Computer programming in
Matlab is required.
001 DH 1046 - MWF 09:00AM - 09:50AM     Embree, Mark              Enr: 22 Max: NA

CAAM 460   OPTIMIZATION THEORY                      Credits 3.00  Fall 02
Derivation and application of necessity conditions and sufficiency conditions
for constrained optimization problems.
Prereq- Math 212, and Caam 335 or Math 355.
001 DH 1042 - MWF 02:00PM - 02:50PM     Tapia, Richard A.         Enr: 21 Max: 0

CAAM 464   NUMERICAL OPTIMIZATION                   Credits 3.00  Fall 02
Numerical algorithms for constrained optimization problems in engineering and
sciences, including simplex and interior-point methods for linear programming,
penalty, barrier, augmented Lagrangian and SQP methods for nonlinear
programming.
Prereq- CAAM 454 or permission og the instructor. CAAM 460 recommended (may be
taken concurrently)
001 DH 1042 - TTH 02:30PM - 03:50PM     Zhang, Yin                Enr: 7 Max: NA

CAAM 470   INTRODUCTION TO GRAPH THEORY             Credits 3.00  Fall 02
Study of the structure and properties of graphs, together with a variety of
applications.  Includes paths, cycles, trees, connectivity, matchings,
colorings, planarity, directed graphs, and algorithms.
001 DH 1046 - MWF 01:00PM - 01:50PM     Dean, Nathaniel           Enr: 9 Max: 0

CAAM 490   INDEPENDENT STUDY                        Credits   Fall 02
No description.
001 TBA - TBA                           Staff                     Enr: 5 Max: 0

CAAM 500   GRADUATE RESEARCH SEMINAR                Credits 1.00  Fall 02
Presentations of ongoing projects by CAAM students and faculty.
001 TBA - W 12:00PM - 01:00PM           Staff                     Enr: 11 Max: NA

CAAM 551   ADV NUMERICAL LINEAR ALGEBRA             Credits 3.00  Fall 02
Direct methods for large, sparse linear system; regularization of
ill-conditioned lest squares problems; backward error analysis of basic
algorithms for linear equations and least squares, condition estimation.
Preconditioned iterative methods for linear systems (CG, GMRES, BiCGstab, QMR);
matrix theory including spectral decompositions, Schur form, eigenvalue
perturbations, and the geometry of subspaces. Eigenvalue algorithms,
Sylvester's equation, the implicity shifted QR algorithm, computation of the
SVD, generalized eigenvalue problems. Introduction to large scale eigen value
algoritms and multigrid.
Prereq- CAAM 454 or permission of the instructor. Computer programming in
Matlab and one or more of C, F77, C++, F90 is required.
001 DH 1075 - MWF 10:00AM - 10:50AM     Sorensen, Danny C.        Enr: 5 Max: NA

CAAM 590   INDEPENDENT STUDY                        Credits   Fall 02
No description.
001 TBA - TBA                           Staff                     Enr: 1 Max: 0

CAAM 640   OPTIMIZATION WITH SIMULATION CONSTRAINTS Credits 3.00  Fall 02
Nonlinear programming techniques for the case of the primary constraints are
varying fidelity simulations of complex systems. Nonlinear programming
approaches studied will include very large-scale trust-region sequential
quadratic programming techniques.
Prereq- Permission of instructor.
001 DH 1042 - TTH 04:00PM - 05:20PM     Heinkenschloss, Matthias  Enr: 3 Max: NA

CAAM 664   TOPICS IN NONLINEAR PROGRAMMING          Credits 3.00  Fall 02
NO DESCRIPTION
001 DH 1042 - WF 03:00PM - 05:00PM      Krishnan, Kartik          Enr: 4 Max: NA

CAAM 685   MESO-SCALE NUMERICS SEMINAR              Credits 3.00  Fall 02
Introduction to practice/continuum coupling numerical techniques.
Prereq- Permission of instructor.
001 TBA - TTH 01:00PM - 02:15PM         Kloucek, Petr             Enr: 0 Max: NA

CAAM 800   THESIS                                   Credits   Fall 02
No description.
001 TBA                                 TBA                       Enr: 18 Max: 0