Science (1-2; max: 10) Prereq: EMA 6507C or equivalent.
Utilizing primarily STEM, TEM, SEM, EMP, FIM, and optical
metallography.
EMA 6580: Science of Biomaterials I (3) Prereq: Undergraduate
chemistry. Introduction to variables that control compatibil-
ity and performance of biomaterials, including physical and
chemical properties, corrosion, fatigue, and interfacial histo-
chemical changes.
EMA 6581C: Polymeric Biomaterials (4) Prereq: undergraduate
chemistry and EMA 3066. Biomedical implant and device appli-
cations of synthetic and natural polymers. Biocompatibility and
interfacial properties of polymers in physiological environment,
especially concerning short-term devices (catheters) and long-
term implants (intraocular lenses, vascular and mammary
prostheses, etc.).
EMA 6589: Mechanical Behavior of Biomaterials (3) Prereq:
EMA 4223 or equivalent. Basis for elastic and viscoelastic
response of biological materials to stress and strain. Foundation
for composite behavior of organic-organic and organic-inorganic
materials. Description of modeling biological structures to
achieve mechanical optimization.
EMA 6616: Advanced Electronic Materials Processing (3)
Prereq: EMA 4614 or equivalent. Materials requirements for
high speed devices and processing modules needed for their
fabrication. Examples of current industrial processes.
EMA 6625: Advanced Metals Processing (3) Prereq: EMA 4125
or equivalent. Advanced treatment of solidification phenomena
during metals processing. Topics to include nucleation, kinetics,
solidification structure, segregation, and effects of processing
variables on structure and properties.
EMA 6667: Polymer Processing (2-3; max: 3) Prereq: EMA
3066 or equivalent. Major processing methods for polymers and
polymeric composites as related to the theological behavior of
these systems. Synthesis of polymers via industrial processes.
EMA 6715: Fracture of Brittle Materials (3) Prereq: EMA
4223, EGM 3520, or equivalent. Latest concepts in deformation,
fracture, and toughening of brittle materials. Application of
fracture mechanics and fractals to failure of brittle materials.
Development of an approach to failure analysis for brittle
materials.
EMA 6804: Computational Materials Science Engineering (3)
Prereq: Consent of instructor. Tools to apply power of computers
to material-related problems: numerical differentiation and
integration, statistical mechanics, Monte Carlo simulations,
materials theory, molecular dynamics simulations, application of
learned methodologies to research problems.
EMA 6805: Mathematical Methods in Materials Science I (2)
Review of mathematical methods with emphasis upon applica-
tions in materials science and engineering.
EMA 6806: Mathematical Methods in Materials Science II (2)
Prereq: EMA 6805 or equivalent. Applications of advanced differ-
ential equations, transform methods, and computational analysis.
EMA 6808: Error Analysis and Optimization Methodologies
in Materials Research (3) Prereq: ESI 4905, EIN 6912, STA
6166 and 6167, or by consent of instructor. Statistical approach to
materials research, basic and relevant statistical concepts, error
analysis, factorial matrices, reducing variance, nested designs
and sampling plans, mixture designs, optimization techniques,
response surface method, and Taguchi method.
EMA 6905: Individual Work in Materials Science and
Engineering (1-4; max: 8)
EMA 6910: Supervised Research (1-5; max: 5) S/U.


 MATHEMATICS
 181
EMA 6936: Seminar in Materials Science and Engineering (1;
max: 14) Offered in fall and spring. Required of all students.
S/U.
EMA 6938: Special Topics in Materials Science and
Engineering (1-4; max: 6)
EMA 6971: Research for Master's Thesis (1-15) S/U.
EMA 7979: Advanced Research (1-12) Research for doctoral
students before admission to candidacy. Designed for students
with a master's degree in the field of study or for students who
have been accepted for a doctoral program. Not appropriate for
students who have been admitted to candidacy. S/U.
EMA 7980: Research for Doctoral Dissertation (1-15) S/U.


Mathematics

College of Liberal Arts and Sciences

 Graduate Faculty 2006-2007
Chair: K. Alladi. Graduate Coordinator: P. L. Robinson.
Undergraduate Coordinator: D. J. Groisser. Graduate
Research Professor: J. G. Thompson. Professors: K. Alladi;
L. S. Block; J. K. Brooks; D. A. Cenzer; Y. Chen; D. A.
Drake; A. Dranishnikov; B. H. Edwards; P. E. Ehrlich; G.
G. Emch; F. G. Garvan; J. Glover; W. W. Hager; C. Y. Ho;
J. E. Keesling; J. A. Larson; B. A. Mair; J. Martinez; S. A.
McCullough; W. J. Mitchell; M. Rao; P. L. Robinson; L.
C. Shen; P. K. Sin; S. J. Summers; P.H. Tiep; A. Turull; A.
Vince; H. Voelklein; N. L. White; D. C. Wilson. Associate
Professors: A. Berkovich; M. Bona; P.L. Boyland; R. M.
Crew; D. J. Groisser; K. P. Keating; J. L. F. King; T. 0. Moore;
S. Moskow; T. Olson; S. Pilyugin; Y. Rudyak; R. Smith; T.
Walsh; J. Zapletal. Assistant Professors: P. DeLeenheer;
J. Gopalakrishnan; M. Jury; M. Kutuzova; N. Levin; M.
Martcheva; L. Yan.

 The Department of Mathematics offers the degrees of Doctor
of Philosophy, Master of Science and Master of Arts, and the
Master of Arts in Teaching and Master of Science in Teaching,
each with a major in mathematics. Complete descriptions of the
minimum requirements for these degrees are provided in the
General Information section of this catalog.
 Interdisciplinary programs: The Department offers a
comajor program in conjunction with the Statistics Department
leading to the Doctor of Philosophy degree in mathematics
and statistics. The Department is also a partner in the inter-
disciplinary concentration in quantitative finance, along with
the Statistics, Industrial and Systems Engineering, and Finance,
Insurance, and Real Estate Departments.
 Combined program: The Department has an accelerated
bachelor's/master's program designed for superior undergradu-
ate students who have the ability to pursue such a plan of study
leading to the Master of Science or Master of Arts degree. The
main feature of the program is that up to 12 semester hours of
approved graduate level mathematics courses may be used as
dual credit for both the undergraduate and the graduate degree.
All other requirements for both the bachelor's degree and the
master's degree must be met. For admission requirements for this
program, see the undergraduate coordinator.
 There are opportunities for concentrated study in a number
of specific areas of pure and applied mathematics at both the
master's and doctoral levels. The faculty directs studies and