Graduate Catalog  20052007
Intercollegial Programs
Computational and Applied Mathematics
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CAM
Computational and Applied Mathematics
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Master of Science in Computational and Applied Mathematics
Doctor of Philosophy
Facilities for Graduate Work
Support facilities for work in computational and applied mathematics include the Kuehne Physics Mathematics Astronomy Library, the McKinney Engineering Library, and the Mallet Chemistry Library. Extensive computing facilities are available, including a scientific visualization laboratory driven by a 24processor SGI Onyx2 highperformance computer and switched 100/1,000 mbps Ethernet networks supporting more than 150 generalpurpose Linux, SGI, IBM, and Macintosh workstations. Other computational resources include a 64processor IBM Regatta system, a 40processor IBM 1A64 Itanium system, a 64processor 1A32 system, a 16processor Cray SV1 Parallel Vector highperformance computer, 16 and 64node Beowulf clusters, and a 4processor SGI Origin 2000 terascale data archive server. Shared and distributed parallel computers maintained by the Department of Computer Sciences are also available, as are workstations in several academic departments in the College of Engineering and the College of Natural Sciences. Faculty members and graduate students also have access to the resources of Information Technology Services described in
chapter 1.
Areas of Study
Graduate study in computational and applied mathematics comprises three areas: applicable mathematics, numerical analysis and scientific computations, and mathematical modeling and applications. Within these broad areas, the student may take courses and conduct research in numerical analysis and scientific computing, applicable mathematics, computational mechanics and physics, parallel computing and computer architecture, and mathematical modeling, and in supporting areas in engineering and science that involve mathematical modeling of physical phenomena and engineering systems.
Graduate Studies Committee
The following faculty members served on the Graduate Studies Committee in the spring semester 20042005.
Orly Alter
Aristotle Arapostathis
Todd Arbogast
Ivo M. Babuska
Chandrajit L. Bajaj
Ross Baldick
Kenneth S. Ball
Eric B. Becker
William Beckner
Roger T. Bonnecaze
Alan C. Bovik
James C. Browne
Michael D. Bryant
Steven L. Bryant
Luis A. Caffarelli
Graham F. Carey
E. Ward Cheney
Alan K. Cline
James W. Daniel
Clint Dawson
Rafael de la Llave
Leszek F. Demkowicz
Inderjit S. Dhillon
Charles N. Friedman
Donald S. Fussell

Irene Martinez Gamba
Vijay K. Garg
John E. Gilbert
Oscar Gonzalez
Robin Gutell
John J. Hasenbein
Linda J. Hayes
Robert W. Heath Jr.
David M. Hillis
Rui Huang
Thomas J. R. Hughes
Loukas F. Kallivokas
Timothy H. Keitt
Hans Koch
Calvin Lin
John E. Luecke
Dmitrii E. Makarov
Edward M. Marcotte
Michael P. Marder
William Mark
Richard A. Matzner
Daene C. McKinney
Mark E. Mear
Lauren A. Meyers
Tessie J. Moon

Philip J. Morrison
J. Tinsley Oden
Dewayne E. Perry
Gregory J. Rodin
Ehud I. Ronn
Peter J. Rossky
Kamy Sepehrnoori
Paul R. Shapiro
Panagiotis E. Souganidis
Jack B. Swift
Harry L. Swinney
John L. Tassoulas
Stathis Tompaidis
Carlos TorresVerdin
Jack S. Turner
Karen K. Uhlenbeck
Robert van de Geijn
Philip L. Varghese
Mikhail M. Vishik
Tandy Warnow
Mary F. Wheeler
Robert E. Wyatt
Jack X. Xin
Thaleia Zariphopoulou

Admission Requirements
Students entering the program are expected to have undergraduate degrees in engineering, computer sciences, mathematics, or a natural science such as physics or chemistry.
Degree Requirements
Each student develops a program of study that includes a substantial component in each of three areas of concentration: applicable mathematics, numerical analysis and scientific computation, and mathematical modeling for applications in a science or engineering discipline. The program must be reviewed and approved by the Graduate Studies Committee. Lists of courses in the three concentrations are available from the graduate adviser.
Master of Science in Computational and Applied Mathematics. This program requires completion of thirty semester hours of approved coursework, including a thesis; thirtythree semester hours of approved coursework, including a report; or thirtysix hours of approved coursework. At least twentyfour hours must be chosen from courses in the three concentration areas, with at least six hours from each area. These twentyfour hours of approved coursework must be taken on the lettergrade basis.
Doctor of Philosophy. Before admission to candidacy for the degree, each student develops a program of study that draws courses from each of the three areas of concentration; the program must be approved by the Graduate Studies Subcommittee. The student must also pass an examination in each area. In addition to meeting the area requirements, the student must prepare a written dissertation proposal. Oral presentation of the proposal and an oral examination are required.
A dissertation is required of every candidate, followed by a final oral examination covering the dissertation and the general field of the dissertation.
Campus address: Applied Computational and Engineering Science Building (ACE) 4.102A, phone (512) 4717386, fax (512) 4718694; campus mail code: C0200
Mailing address: The University of Texas at Austin, Graduate Program in Computational and Applied Mathematics, 1 University Station C0200, Austin TX 78712
Email: camgrad@ices.utexas.edu
URL: http://www.ices.utexas.edu/cam/
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Graduate Catalog 
20052007

Computational and Applied Mathematics
program  courses

