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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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