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Rice Course Schedule, Spring 1997
Computational and Applied Math (CAAM)

Rice Course Schedule as of 01/24/1997. 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 97
           * 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 CE*1070  Akin, Ed

CAAM   310 LINEAR ALGEBRA                           Credits 3.00  Spring 97
           * DISTRIBUTION COURSE: GROUP III
Concepts and results of linear algebra useful in a variety of fields of
application.
001 MWF     09:00AM-09:50AM CE*1042  Zhang, Yin

CAAM   321 INTRO TO MATHEMATICAL ANALYSIS           Credits 3.00  Spring 97
A careful treatment of fundamental topics of anaysis, including vector
spaces, differentiation and (Riemaun) integration; the implicit function
theorem; compactness and completeness; inner product spaces; and
differential equations.
Prereq- Math 211,212 (or honors alternative).
001 TTH     10:50AM-12:05PM CE*1042  Symes, William

CAAM   336 FOUNDATIONS OF APPLIED MATH II           Credits 3.00  Spring 97
Continuation of Caam 335.
001 MWF     01:00PM-01:50PM CE*1064  Symes, William

CAAM   353 COMPUTATN'L NUMERICAL ANALYSIS           Credits 3.00  Spring 97
An introductory course in numerical analysis with computer applications.
Prereq- Math 211.
001 MWF     11:00AM-11:50AM CE*1064  Parks, Teresa

CAAM   378 INTRO TO OPERATIONS RESEARCH             Credits 3.00  Spring 97
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 CE*1042  Cheng, Eddie

CAAM   381 APPLIED PROBABILITY                      Credits 3.00  Spring 97
Concepts, interpretations, elementary techniques, and applications of
modern probability theory,
Prereq- Math 102.
Also offered as Elec 331 and Stat 381.
001 TTH     09:25AM-10:40AM CE*1075  Pfeiffer, Paul

CAAM   420 INTRO COMPUTATIONAL SCIENCE              Credits 3.00  Spring 97
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 CE*1042  Moore, Douglas

CAAM   432 TENSOR ANALYSIS                          Credits 3.00  Spring 97
Review of linear algebra.  Tensor algebra.  Tensor analysis on Euclidean
spaces.  Applications to particle mechanics, continuum mechanics, and
electromagnetic theory.
Prereq-  Linear algebra.
001                                  TBA

CAAM   435 ORDINARY DIFFERENTIAL EQUATION           Credits 3.00  Spring 97
The existence and continous dependence of solutions.  The theories of
Floquet (periodic coefficients), Sturm, Liouville, Titchmarsh, and Weyl
(boundary value problems), Liapunov (stability), Hartman and Grobman
(stability via linearization), and Poincare and Bendixson (periodic
solutions).
Prereq- Math 211, 321.
001 TTH     09:25AM-10:40AM HB*427   Polking, John

CAAM   452 COMP METHODS FOR DIFF. EQUA.             Credits 4.00  Spring 97
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.
001 MWF     09:00AM-09:50AM CE*1046  Kloucek, Petr

CAAM   454 OPTIMIZATION PROBLEMS IN COMPUTATIONAL E Credits 3.00  Spring 97
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 CE*1070  Heinkenschloss, Matthias

CAAM   475 INTEGER & COMB. OPTIMIZATION             Credits 3.00  Spring 97
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 CE*1042  Bixby, Robert

CAAM   491 INDEPENDENT STUDY                        Credits 3.00  Spring 97
001 TBA     TBA                      TBA

CAAM   502 UNIX FOR SCIENTIFIC & ENGINEERING APPLIC Credits 1.00  Spring 97
Continuation of Caam 501.
001 W       12:00PM-12:50PM CE*1042  Pearlman, Michael

CAAM   522 PROGRAMMING FOR COMPUTATIONAL MATHEMATIC Credits 3.00  Spring 97
Programming techniques, style, data structures, and algorithms for
efficient computational mathematics.
Prereq- Caam 210 or Caam 211; Caam 501 or permission of instructor.
001 MWF     01:00PM-01:50PM CE*1070  Applegate, David

CAAM   554 NUM NONLINEAR PROGRAMMING                Credits 3.00  Spring 97
Analysis of modern numerical methods for constrianed problems, including
variable metric methods, successive quadratic programming, and trust
region methods.
001 TTH     09:25AM-10:40AM HB*423   Tapia, Richard

CAAM   564 OPTIMAL CONTROL                          Credits 3.00  Spring 97
Optimal control theory and calculus of variations.  Minimization of
functionals depending on variable subject to differential constraints.
Numerical methods; first-order methods and second-order methods.
Also offered as Mech 564.
001 TTH     04:00PM-05:20PM RL*231   Miele, Angelo

CAAM   571 ADV INTEGER&COMBINAT.OPTIMIZAT           Credits 3.00  Spring 97
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; cardinaltiy 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    Martin, Alexander

CAAM   575 TOPICS IN INTEGER PROGRAMMING            Credits 3.00  Spring 97
Seminar on selected topics in interger programming.  Topics will vary
from year to year.  May be repeated for credit.
001 W       02:00PM-05:00PM TBA      Cook, William

CAAM   582 MATHEMATICAL PROBABILITY II              Credits 3.00  Spring 97
Continuation of Caam 581.
Also offered as Stat 582.
001 MWF     10:00AM-10:50AM CE*1046  Pfeiffer, Paul

CAAM   584 DETECTION & ESTIMATION THEORY            Credits 3.00  Spring 97
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

CAAM   591 INDEPENDENT STUDY                        Credits 1.00  Spring 97
001 TBA     TBA                      TBA

CAAM   592 TOPICS IN APPLIED MATH                   Credits 3.00  Spring 97
001 TBA     TBA                      TBA

CAAM   652 TOPICS IN NUM PART DIFF EQUAT            Credits 3.00  Spring 97
Content varies from year to year.
001                                  TBA

CAAM   800 THESIS                                   Credits 0.00  Spring 97
001 TBA     TBA                      TBA



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-- Course schedule information provided by reg@rice.edu. Web version administered by riceinfo@rice.edu. Updated: Fri Jan 24 14:07:00 1997

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