Rice Course Schedule, Fall 2003
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 03
* DISTRIBUTION COURSE: GROUP III
Introduction to engineering and scientific computation: Engineering
workstations, programming concepts via Matlab, software systems, and numerical
methods.  Laboratory to illustrate the application of computational and
visualization methods to problem analysis. Matlab
serves asthe primary
computational and display tool.  Optional supplemental instruction is presented
in both C and f95.
Prereq- Math 101
001 BL 131 - MWF 01:00PM - 01:50PM      Cox, Steven J.            Enr: 100 Max: 0

CAAM 335   MATRIX ANALYSIS                          Credits 3.00  Fall 03
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.  Prerequisites: MATH 212 and CAAM 210 or
211.
Prereq- Math 212 and Caam 210 or 211.
001 SH 301 - MWF 01:00PM - 01:50PM      Kloucek, Petr             Enr: 65 Max: 0
002 DH 1042 - MWF 11:00AM - 11:50AM     Wightman, Jennifer Lee    Enr: 24 Max: NA

CAAM 336   DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00  Fall 03
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.  Prerequisites: MATH 212 and CAAM 210 or
211.
Prereq- Math 212 and Caam 210 or 211.
001 DH 1064 - MWF 01:00PM - 01:50PM     Hintermueller, Michael    Enr: 21 Max: NA

CAAM 378   INTRODUCTION TO OPERATIONS RESEARCH AND  Credits 3.00  Fall 03
Formulation and solution of mathematical models in management, economics,
engineering and science applications in which one seeks to minimize or maximize
an objective function subject to constraints, including models in linear,
nonlinear and integer programming; basic solution methods for these
optimization models; problem-solving using a modeling language and optimization
software.  Prerequisites: MATH 212, and any one of the following: CAAM 335,
MATH 211 or MATH 335.
001 DH 1046 - MWF 02:00PM - 02:50PM     Zhang, Yin                Enr: 8 Max: NA

CAAM 401   ANALYSIS I                               Credits 3.00  Fall 03
Real numbers completeness, sequences and convergence, compactness, continuity,
the derivative, the Riemann integral, fundamental theorem of calculus. Vectors
spaces, dimension, linear maps, inner products and norms.  Prerequisite: MATH
211 and 212 or permission of instructor.
Prereq- MATH 211 and 212 or permission of instructor.
001 RH 205 - TTH 10:50AM - 12:05PM      Symes, William W.         Enr: 13 Max: 0

CAAM 420   COMPUTATIONAL SCIENCE I                  Credits 3.00  Fall 03
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.
Prerequisites: CAAM 210 or 211; CAAM 335 or 353, or permission of instructor.
Pre-req- CAAM 210 or 211, CAAM 335 or 353, or consent of instructor.
001 DH 1046 - MWF 11:00AM - 11:50AM     Fagan, Michael            Enr: 17 Max: 0

CAAM 436   PDEs OF MATHEMATICAL PHYSICS             Credits 3.00  Fall 03
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.  Prerequisites: CAAM 336 or permission of instructor.
Prereq- CAAM 336 or permission of the instructor.
001 KH 105 - TTH 09:25AM - 10:40AM      Hintermueller, Michael    Enr: 8 Max: 0

CAAM 453   NUMERICAL ANALYSIS I                     Credits 3.00  Fall 03
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.  Prerequisites: CAAM 335 or permission of the instructor Computer
programming in Matlab is required.
Prereq- CAAM 335 or permission of the instructor. Computer programming in
Matlab is required.
001 DH 1042 - MWF 09:00AM - 09:50AM     Embree, Mark              Enr: 39 Max: 0

CAAM 460   OPTIMIZATION THEORY                      Credits 3.00  Fall 03
Derivation and application of necessity conditions and sufficiency conditions
for constrained optimization problems.  Prerequisites: MATH 212 and CAAM 335 or
MATH 355.
Prereq- Math 212, and Caam 335 or Math 355.
001 DH 1042 - MWF 02:00PM - 02:50PM     Tapia, Richard A.         Enr: 23 Max: 0

CAAM 464   NUMERICAL OPTIMIZATION                   Credits 3.00  Fall 03
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.  Prerequisite: CAAM 454 or permission of instructor.  CAAM 460
recommended (may be taken concurrently).
Prereq- CAAM 454 or permission og the instructor. CAAM 460 recommended (may be
taken concurrently)
001 KH 105 - TTH 02:30PM - 03:50PM      Zhang, Yin                Enr: 5 Max: 40

CAAM 469   DYNAMICAL SYSTEMS LAB                    Credits 1.00  Fall 03
Modeling, simulation and visualization of dynamical systems in MATLAB.
Prereq- MATH 211
001 TBA - TTH 04:00PM - 05:00PM         Peercy, Bradford          Enr: 5 Max: NA

CAAM 490   INDEPENDENT STUDY                        Credits   Fall 03
No description.
001 TBA - TBA                           Staff                     Enr: 3 Max: 0

CAAM 499   MATHEMATICAL SCIENCES VIGRE SEMINAR      Credits   Fall 03
This course prepares a student for research in the mathematical sciences on a
specific topic. Each section is dedicated to a different topic. Current topics
include bioinformatics, biomathematics and computational finance. The topics
change each semester. Also offered as STAT 499 amd MATH 499.
001 TBA - TBA                           Staff                     Enr: 12 Max: NA

CAAM 500   GRADUATE RESEARCH SEMINAR                Credits 1.00  Fall 03
Presentations of ongoing projects by CAAM students and faculty.
001 DH 1064 - W 12:00PM - 01:00PM       Staff                     Enr: 20 Max: 0

CAAM 551   NUMERICAL LINEAR ALGEBRA                 Credits 3.00  Fall 03
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.  Prerequisites: CAAM 454 or permission of the
instructor.  Computer programming in Matlab and one or more of C, F77, C++, F90
is required.
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: 9 Max: 0

CAAM 581   MATHEMATICAL PROBABILITY I               Credits 3.00  Fall 03
Measure-theoretic foundations of probability for students who need access to
advanced mathematical literature in probability and random processes.
Prereq- Caam 381.
001 BROW 145 - MWF 10:00AM - 10:50AM    Olofsson, Peter           Enr: 0 Max: NA

CAAM 583   INTRODUCTION TO RANDOM PROCESSES AND APP Credits 3.00  Fall 03
Review of basic probability and the formulation, analysis, representation, and
application of some random standard random processes.  Include sequences of
random variables, random vectors and estimation, basic concepts of random
processes, random processes in linear systems, expansions of random processes,
wiener filtering, spectral representation of random processes, and white-noise
integrals.  Prerequisite: STAT 381 (STAT 581 recommended).  Also offered as
ELEC 533 and STAT 583.
Prereq- Caam 381 (Caam 581 recommended).
001 AL A126 - MWF 11:00AM - 11:50AM     Riedi, Rudolf H.          Enr: 0 Max: NA

CAAM 590   INDEPENDENT STUDY                        Credits   Fall 03
No description.
001 TBA - TBA                           Staff                     Enr: 11 Max: 0

CAAM 652   TOPS IN NUMERICAL DE                     Credits 3.00  Fall 03
Content varies from year to year.
001 TBA - T 03:00PM - 04:30PM           Staff                     Enr: 2 Max: NA

CAAM 654   TOPICS IN OPTIMIZATION                   Credits 3.00  Fall 03
Content varies from year to year.
Course may be repeated for credit.
001 DH 1046 - WF 03:00PM - 05:00PM      Tapia, Richard A.         Enr: 4 Max: 0

CAAM 685   MESO-SCALE NUMERICS SEMINAR              Credits 3.00  Fall 03
Introduction to practice/continuum coupling numerical techniques.
Prereq- Permission of instructor.
001 SH 560 - TTH 01:00PM - 02:15PM      Kloucek, Petr             Enr: 0 Max: 0

CAAM 699   MATHEMATICAL SCIENCES VIGRE SEMINAR      Credits   Fall 03
This course prepares a student for research in the mathematical sciences on a
specific topic. Each section is dedicated to a different topic. Current topics
include bioinformatics, biomathematics and computational finance. The topics
change each semester. Also offered as STAT 699 amd MATH 699.
001 TBA - TBA                           Staff                     Enr: 0 Max: NA

CAAM 800   THESIS                                   Credits   Fall 03
No description.
001 TBA - TBA                           Staff                     Enr: 13 Max: 0