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

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

CAAM 211   INTRO TO ENG COMPUTATION                 Credits 3.00  Spring 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 FORTRAN. Only one of the two courses
Caam 210, 211 may be taken for credit.
Prereq- Math 101
001 HZ 210 - MWF 02:00PM - 02:50PM      Zhang, Yin                Enr: 86 Max: 0

CAAM 322   INTRO TO REAL ANAYSIS II                 Credits 3.00  Spring 02
Continuation of Caam 321.  Linear maps and matrices, matrix norms, convergence
of sequences, continuity and differentiability of functions on Rn, the
derivative as a linear map, normed linear spaces, completeness, the contraction
mapping principle, inverse and implicit function theorems, fundamental theorems
on ODEs, compactness, multivariate integration.
Prereq- Caam 321.
001 HB 423 - TTH 10:50AM - 12:05PM      Borcea, Liliana           Enr: 16 Max: 0

CAAM 335   MATRIX ANALYSIS                          Credits 3.00  Spring 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 DH 1070 - MWF 09:00AM - 09:50AM     Embree, Mark              Enr: 54 Max: 0

CAAM 336   DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00  Spring 02
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 1046 - MWF 01:00PM - 01:50PM     Arino, Ovid               Enr: 41 Max: 0

CAAM 353   COMPUTATIONAL NUMERICAL  ANALYSIS        Credits 3.00  Spring 02
An introductory course in numerical analysis with computer applications.
Prereq- Math 211.
001 DH 1064 - TTH 09:25AM - 10:40AM     Heinkenschloss, Matthias  Enr: 53 Max: 0

CAAM 378   INTRO TO OPERATIONS RESEARCH             Credits 3.00  Spring 02
An alternative to Caam 376 for students with a year of calculus.  Some
knowledge of linear algebra and of probability is desirable.
001 DH 1042 - MWF 02:00PM - 02:50PM     Dean, Nathaniel           Enr: 5 Max: 0

CAAM 415   MATHEMATICAL NEUROSCIENCE                Credits 3.00  Spring 02
Modeling of and computation by single neurons. Establish proficiency in the use
of NEURON, a widely-used neurosimulation package, and so provide motivation and
deliver a practical skill. From there, poke under NEURON's hood and derive the
fundamental equations of neurodynamics and construct simple analytical and
numerical procedures for their solution. Also offered as NEUR 415.
Prereq- MATH 211 or CAAM 335.
001 KH 101 - TTH 09:25AM - 10:40AM      Cox, Steven J.            Enr: 4 Max: NA

CAAM 420   COMPUTATIONAL SCIENCE I                  Credits 3.00  Spring 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 1042 - MWF 11:00AM - 11:50AM     Symes, William W.         Enr: 31 Max: 0

CAAM 421   COMPUTATIONAL SCIENCE II                 Credits 3.00  Spring 02
Vector, shared-memory and message-passing parallel computer architectures.
Numerical linear algebra for these architectures. Memory hierarchy issues,
analysis and enhancement of performance, and use of programming tools and
environments.  Application interfaces including OpenMP and MPI. Parallel
numerical algorithms and scientific visualization.
Prereq-Permission of instructor
001 DH 1075 - TTH 04:00PM - 05:20PM     Sorensen, Danny C.        Enr: 11 Max: 0

CAAM 437   PARTIAL DIFFERENTIAL EQUATIONS II        Credits 3.00  Spring 02
Continuation of Caam 436.  Newtonian heat flow, the Gaussian kernel, Fourier
transform in L2, analysis of smoothing property, Maxwell's equations, weak
solutions, distributions, propagation of discontinuity in 1D, Green's function
in 3D, Fourier analysis, additional topics at discretion of instructor.
Prereq- Caam 436.
001 KH 107 - TTH 01:00PM - 02:20PM      Kloucek, Petr             Enr: 1 Max: 0

CAAM 452   COMP METHODS FOR DIFFERENT EQUATION      Credits 4.00  Spring 02
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.
Prereq- Caam 335 and 336 or permission of instructor.
001 SH 562 - TTH 09:25AM - 10:40AM      Kloucek, Petr             Enr: 5 Max: 0

CAAM 453   NUMERICAL ANALYSIS AND ORDINARY DIFF EQU Credits 3.00  Spring 02
Numerical analysis of iterative methods for linear systems, approximation and
interpolation, and numerical solution of ordinary differential equations.
Prereq- Math 211.
001 DH 1042 - MWF 09:00AM - 09:50AM     Zhang, Yin                Enr: 12 Max: 0

CAAM 454   OPTIMIZATION PROBLEMS IN COMPUTATIONAL E Credits 3.00  Spring 02
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, basis reduction
methods, and examples from computational engineering and science.  A complement
to CAAM 460.
Prereq- Proficiency in Fortran or C, and understanding of numerical linear
algebra and calculus.
001 DH 1042 - TTH 02:30PM - 03:50PM     Heinkenschloss, Matthias  Enr: 21 Max: 0

CAAM 475   INTEGER & COMB. OPTIMIZATION             Credits 3.00  Spring 02
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.
Also offered as ECON 475.
Prereq- Caam 471.
001 DH 1042 - TTH 04:00PM - 05:20PM     McZeal, Cassandra Moore   Enr: 7 Max: 0

CAAM 491   INDEPENDENT STUDY                        Credits   Spring 02
No description.
001 TBA                                 TBA                       Enr: 1 Max: 0

CAAM 551   ADV NUMERICAL LINEAR ALGEBRA             Credits 3.00  Spring 02
Iterative and/or direct methods for large scale problems.
001 DH 1075 - TTH 10:50AM - 12:05PM     Sorensen, Danny C.        Enr: 9 Max: 0

CAAM 554   NUM NONLINEAR PROGRAMMING                Credits 3.00  Spring 02
Analysis of modern numerical methods for constrained problems, including
variable metric methods, successive quadratic programming, and trust region
methods.
001 KH 105 - TTH 09:25AM - 10:40AM      Tapia, Richard A.         Enr: 6 Max: 0

CAAM 570   ADVANCED TOPICS IN GRAPH THEORY          Credits 3.00  Spring 02
Provides an overview of the main research topics in Graph Theory. Each student
will report regularly on some selected area, each student will complete an
extensive survey of their own area, and there will be progress reports on their
research in that area. To further enhance speaking and writing skills,
representatives of the Cain Project will act as speaking and writing coaches,
videotape the formal presentations and give constructive feedback on oral
presentations and written reports.
Prereq- CAAM 470
001 KH 105 - TTH 10:50AM - 12:05PM      Dean, Nathaniel           Enr: 4 Max: 0

CAAM 591   INDEPENDENT STUDY                        Credits 3.00  Spring 02
No description
001 TBA - TBA                           Staff                     Enr: 2 Max: 0

CAAM 800   THESIS                                   Credits   Spring 02
No description.
001 TBA - TBA                           Staff                     Enr: 24 Max: 0