Rice Course Schedule, Fall 2001
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 01
* 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, Phys 101.
001 BL 131 - MWF 01:00PM - 01:50PM      Cox, Steven J.            Enr: 84 Max: 0

CAAM 321   INTRO TO REAL ANALYSIS                   Credits 3.00  Fall 01
Analysis of functions of a real variable.  Real numbers, completeness,
sequences and convergence, compactness, continuity, the derivative, the Riemann
integral, fundamental theorem of calculus, sequences and series of functions,
uniform convergence.  First of a two-semester sequence.
Prereq- Math 211 and 212
001 DH 1042 - TTH 10:50AM - 12:05PM     Borcea, Liliana           Enr: 18 Max: 0

CAAM 335   MATRIX ANALYSIS                          Credits 3.00  Fall 01
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 DH 1064 - MWF 01:00PM - 01:50PM     Kloucek, Petr             Enr: 37 Max: 0

CAAM 336   DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00  Fall 01
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.
Prereq- Math 212 and Caam 210 or 211.
001 DH 1042 - MWF 11:00AM - 11:50AM     Heinkenschloss, Matthias  Enr: 27 Max: 0

CAAM 376   INTRO TO MANAGEMENT SCIENCE              Credits 3.00  Fall 01
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     Redl, Timothy Anton       Enr: 63 Max: 0

CAAM 436   PARTIAL DIFF EQUATIONS I                 Credits 3.00  Fall 01
Derivation and solution of partial differential equations of continuum physics.
 Basic concepts of continuum mechanics, ideal fluids, Navier-Stokes equations,
linear elasticity, acoustics.  Poisson problem, Green's function, variational
formulation, Sobolev spaces, Rayleigh-Ritz principle, existence of weak
solutions, justification of the finite element method.  First of a two-semester
sequence.
Prereq- Caam 321 and 322 or permission of the instructor.
001 DH 1042 - TTH 09:25AM - 10:40AM     Borcea, Liliana           Enr: 16 Max: 0

CAAM 441   SEISMOLOGY I                             Credits 3.00  Fall 01
Principles of elastic wave initiation, propagation, and reflection in ideal
media and real rocks, with application to exploration for hydrocarbons. Also
offered as GEOL 461.
Prereq- MATH 211 AND PHYS 101/102. Recommended prerequisites: MATH 212(may be
taken concurrently), GEOL 441/442, and CAAM 336.
001 TBA - TBA                           Levander, Alan            Enr: 0 Max: NA
                                        Symes, William W.

CAAM 451   NUMERICAL LINEAR ALGEBRA                 Credits 3.00  Fall 01
Detailed study of numerical methods for the basic problems of linear algebra.
Includes derivation, analysis, and computer implementation of algorithms for
the solution of linear systems, least squares problems, eigenvalue problems,
floating point arithmetic, rounding error analysis, matrix and vector norms,
and sensitivity analysis.
Prereq- Caam 335 or Math 355.
001 DH 1075 - MWF 10:00AM - 10:50AM     Sorensen, Danny C.        Enr: 20 Max: 0

CAAM 460   MATHEMATICAL OPTIMIZATION AND LANGRANGE  Credits 3.00  Fall 01
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: 30 Max: 0

CAAM 470   INTRODUCTION TO GRAPH THEORY             Credits 3.00  Fall 01
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: 11 Max: 0

CAAM 471   LINEAR PROGRAMMING                       Credits 3.00  Fall 01
Formulation of managerial and technical problems; simplex and revised simplex
methods; duality theory, optimality conditions and sensitivity analysis;
interior-point methods; selected applications and advanced techniques.
Also
offered as Econ 471.
001 DH 1046 - MWF 09:00AM - 09:50AM     Zhang, Yin                Enr: 13 Max: NA

CAAM 485   MESO-SCALE NUMERICS SEMINAR              Credits 1.00  Fall 01
Introduction to particle/continuum coupling numerical techinques.
001 DH 1042 - TH 04:00PM - 05:30PM      Kloucek, Petr             Enr: 2 Max: 0

CAAM 490   INDEPENDENT STUDY                        Credits   Fall 01
No description.
001 TBA - TBA                           Staff                     Enr: 1 Max: 0

CAAM 590   INDEPENDENT STUDY                        Credits   Fall 01
No description.
001 TBA - TBA                           Staff                     Enr: 4 Max: 0

CAAM 601   RESEARCH ETHICS SEMINAR                  Credits 2.00  Fall 01
This case-based course will focus on incidents and issues commonly encountered
in the preparation, conduct, and reporting of scientific research.  Topics
covered include: peer review, conducting research, authorship, research fraud,
and conflicts of interest (bioethics issues will not be covered in this
course.)
Also offered as Comp 601.
001 TBA - TBA                           Staff                     Enr: 0 Max: NA

CAAM 624   SPECIAL TOPICS- SURROGATE MEHTODS IN ENG Credits   Fall 01
The goal of these lectures is to acquaint the audience with a class of nasty
optimization problems involving nonconvex nonlinear extended-valued functions.
Such functions arise often in multidisciplinary optimization (MDO). The context
for applying our algorithms determines the form of the algorithms, and to
present this context requires a bit more than just a short list of assumptions.
Briefly though, the objective function and constraints depend not only on the
optimization variables, but also on some ancillary variables such as the
soulutions of some coupled systems of stand-alone solvers for partial
differential equations, table look-ups, and other nonsmooth simulation codes.
Prereq- Permission of instructor is required.
001 TBA - TBA                           Dennis, John E.           Enr: 13 Max: NA

CAAM 654   TOPICS IN OPTIMIZATION                   Credits 3.00  Fall 01
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 800   THESIS                                   Credits   Fall 01
No description.
001 TBA - TBA                           Staff                     Enr: 20 Max: 0