Rice Course Schedule, Spring 2003
Computational and Applied Math (CAAM)

See also: Building Codes | Registration Information

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

CAAM 211   INTRO TO ENG COMPUTATION                 Credits 3.00  Spring 03
* 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: 106 Max: 0

CAAM 335   MATRIX ANALYSIS                          Credits 3.00  Spring 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.
Prereq- Math 212 and Caam 210 or 211.
001 DH 1046 - MWF 09:00AM - 09:50AM     Embree, Mark              Enr: 47 Max: 0

CAAM 336   DIFFERENTIAL EQUATIONS IN SCIENCE AND EN Credits 3.00  Spring 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.
Prereq- Math 212 and Caam 210 or 211.
001 HZ 212 - MWF 01:00PM - 01:50PM      Kloucek, Petr             Enr: 53 Max: 0

CAAM 353   COMPUTATIONAL NUMERICAL  ANALYSIS        Credits 3.00  Spring 03
An introductory course in numerical analysis with computer applications.
Prereq- Math 211.
001 DH 1070 - TTH 09:25AM - 10:40AM     Krishnan, Kartik          Enr: 54 Max: 0

CAAM 402   ANALYSIS II                              Credits 3.00  Spring 03
Continuation of Analysis I. Vector spaces of functions, sequences and series,
convergence. Continuity and differentiability of functions of several
variables, the derivative as a linear map, the contraction mapping principle,
inverse and implicit function theorems, fundamental theorems on differential
equations, multivariable integration, Stoke's theorem and relatives.
Prereq- CAAM 401.
001 DH 1046 - TTH 10:50AM - 12:05PM     Borcea, Liliana           Enr: 26 Max: NA
001 DH 1046 - TTH 10:50AM - 12:05PM     Borcea, Liliana           Enr: 0 Max: NA

CAAM 415   MATHEMATICAL NEUROSCIENCE                Credits 3.00  Spring 03
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 107 - TTH 09:25AM - 10:40AM      Cox, Steven J.            Enr: 6 Max: 0

CAAM 452   NUMERICAL METHODS FOR PARTIAL DIFFERENTI Credits 4.00  Spring 03
Structure and properties of the finite element method for statistics problems
in mechanics, electromagnetism, and other field theories. Finite difference
methods for initial/boundary value problems of fluid flow, heat transfer, and
wave motion.
Prereq- CAAM 336 or permission of instructor. CAAM 436 recommended. Computer
programming in Matlab is required.
001 ML 254 - TTH 09:25AM - 10:40AM      Kloucek, Petr             Enr: 10 Max: 0

CAAM 454   NUMERICAL ANALYSIS II                    Credits 3.00  Spring 03
Iterative methods for linear systems of equations including Krylov subspace
mehtods; gradient method for unconstrained optimizaiton; Newton and Newton-like
methods for nonlinear system of equations, unconstrained optimization and
nonlinear least squares problems; techniques for improving the global
convergence of these algorithms. Theoretical and practical considerations for
these algoritms will be discussed.
Prereq-CAAM 453 or permission of the instructor. Computer programming in Matlab
is required.
001 DH 1046 - TTH 02:30PM - 03:50PM     Zhang, Yin                Enr: 14 Max: 0

CAAM 475   INTEGER & COMB. OPTIMIZATION             Credits 3.00  Spring 03
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 KH 107 - TTH 04:00PM - 05:20PM      Staff                     Enr: 8 Max: 0

CAAM 491   INDEPENDENT STUDY                        Credits   Spring 03
No description.
001 TBA - TBA                           Staff                     Enr: 4 Max: 0

CAAM 500   GRADUATE RESEARCH SEMINAR                Credits 1.00  Spring 03
Presentations of ongoing projects by CAAM students and faculty.
001 TBA - TBA                           Staff                     Enr: 6 Max: NA

CAAM 520   COMPUTATIONAL SCIENCE II                 Credits 3.00  Spring 03
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. Applications interfaces including OpenMP and MPI, Parallel
numerical algorithms and scientific visualization.
Prereq- CAAM 420
001 SH 460 - TTH 01:00PM - 02:20PM      Staff                     Enr: 8 Max: NA

CAAM 591   INDEPENDENT STUDY                        Credits   Spring 03
No description
001 TBA - TBA                           Staff                     Enr: 5 Max: 0

CAAM 641   TOPICS IN INVERSE PROBLEMS               Credits 3.00  Spring 03
Theoretical, computational and practical issues for inverse problems in science
and engineering. Selected topics will vary depending on instructor and student
interests.
Prereq- Permission of instructor.
001 HB 423 - TTH 02:25PM - 03:40PM      Staff                     Enr: 7 Max: NA

CAAM 651   TOPICS IN NUMERICAL LINEAR ALGEBRA       Credits 3.00  Spring 03
Selected topics will vary depending on instructor and student interests.
Derivation and analysis of Krylov and subspace iteration methods for large
eigenvalue problems (Lanczos, Arnoldi, Jacobi-Davidon algorithms);
preconditioning for linear systems and eigenvalue problems (incomplete LU,
domain decomposition, multigrid); convergence analysis including potential
theory and pseudospectra. Applications: regularization of dicrete inverse
problems; dimensions reduction for large dynamical contol systems; applications
involving nonnormal matrices.
Prereq- CAAM 551 or consent of instructor.
001 KH 101 - TTH 01:00PM - 02:15PM      Embree, Mark              Enr: 14 Max: NA

CAAM 654   TOPICS IN OPTIMIZATION                   Credits 3.00  Spring 03
Content varies from year to year.
Course may be repeated for credit.
001 DH 1075 - MW 04:00AM - 05:20AM      El-Bakry, Amr             Enr: 8 Max: NA

CAAM 800   THESIS                                   Credits   Spring 03
No description.
001 TBA - TBA                           Staff                     Enr: 16 Max: NA