122 / FIELDS OF INSTRUCTION EMA 6148-Structure and Properties of Glasses II (3) Chemical, electrical, magnetic, and mechanical properties of glasses. EMA 6165-Polymer Physics (3) Prereq: EMA 3066. Solid-state properties of amorphous and semi-crystalline polymers. EMA 6166- Polymer Composites (3) Physical and mechanical properties of polymers and polymer composites as related to preparation and microstructure. EMA 6226-Advanced Mechanical Metallurgy 1 (3) Prereq: EMA 4223. Dislocation theory, microstructural effects in mechanical properties, strenghtening mechanisms, fracture, and other cur- rent topics. EMA 6227-Advanced Mechanical Metallurgy II (3) Contination of EMA 6226. EMA 6265-Mechanical Properties of Polymers (3) Prereq: EMA 3066. Linear and nonlinear viscoelastic behavior of polymers with emphasis on molecular and microstructure aspects. EMA 6265L-Polymer Mechanical Properties Laboratory (2) Prereq: EMA 3066. Coreq: EMA 6265. Mechanical property testing in linear and nonlinear viscoelastic regimes of polymeric materials. EMA 6266-Polymer Rheology (3) Prereq: EMA 3066. Flow of polymer melts as influenced by molecular and microstructural variables. EMA 6316-Metallurgical Thermodynamics (3) Prereq: EMA 4314. Thermodynamics of metallurgical systems; surfaces in solids, irreversible processes. EMA 6326-Advanced Topics in Corrosion (2) Prereq: EMA 4324. Theories and mechanisms of corrosion. Current literature on oxidation and corrosion. EMA 6446-Electronic Processes in Crystalline Ceramics (3) Prereq: EMA 4145 or consent of instructor. The defect solid state and its relation to electrical properties of ceramic materials. Ionic conductivity in ceramics. Solid electrolytes. Theory of electron transport in metallic, semiconducting, and insulating ceramics. EMA 6448-Ceramic Processing (3) Introduction tothe science of ceramic processing, with emphasis on theoretical fundamentals. Examples of state-of-the-art industrial processes discussed. EMA 6461-Advanced Polymer Physics (3) Prereq: EMA 3066. Use of broad variety of spectroscopic and other scattering phenomena in polymer research. EMA 6507C-Scanning Electron Microscopy and Electron Probe Microanalysis (3) Prereq: EMA 3513. Fundamentals of scanning electron microscopy and electron probe microanalysis. Labora- tory. EMA 6516-Advanced X-Ray Diffraction (4) Prereq: EMA 3513. Kinematic x-ray diffraction theory and application to materials analysis. EMA 651 8L-Transmission Electron Microscopy (3) Prereq: EMA 3513. Kinematical and dynamical theory of contrast in thin crystals. Laboratory studies, defect structure, applications to electron diffraction. Laboratory included. EMA 6519L-Specialized Research Techniques in Materials Sci- ence (1-2; max: 10) Utilizing primarily STEM, TEM, SEM, EMP, FIM, and optical metallography. EMA 6580-Science of Biomaterials 1 (3) Prereq: undergraduate chemistry. Introduction to variables that control compatibility and performance of biomaterials, including physical and chemi- cal properties, corrosion, fatigue, and interfacial histo-chemical changes. EMA 6581-Science of Biomaterials II (3) Prereq: undergraduate chemistry. Anatomical variables, stresses, materials selection, and selected literature readings. EMA 6625-Advanced Metals Processing (3) Prereq: EMA 4125. 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. Coreq: EMA 6667L. Major processing methods for polymers and polymeric composites as related to the rheological behavior of these systems. Synthesis of polymers via industrial processes. EMA 6667L-Polymer Processing Laboratory (2) Prereq: EMA 3066. Coreq: EMA 6667. Use of polymer processing equipment; industrial methods for synthesizing polymers. EMA 6801-Mathematical Methods in Materials Science (3) Review of mathematical methods with emphasis upon applica- tions in materials science and engineering. EMA 6905-Individual Work in Materials Science and Engineer- ing (1-4; max: 8) EMA 6910-Supervised Research (1-5; max: 5) S/U. EMA 6936-Seminar in Materials Science and Engineering (1; max: 14) Offered in fall and spring. Required of all students. S/U. EMA 6937-Seminar in Metallurgy and Ceramic Science (1-2; max: 18) S/U. EMA 6938-Special Topics in Materials Science and Engineering (1-4; max: 6) EMA 6940-Supervised Teaching (1-5; max: 5) S/U. MATHEMATICS College of Liberal Arts and Sciences GRADUATE FACULTY 1989-90 Chairman: D. A. Drake. Associate Chairman: C. W. Nelson. Graduate Coordinator: L. S. Block. Graduate Research Professor:R. E. Kalman. Professors: K. Alladi; A. R. Bednarek; L. S. Block; B. L. Brechner; J. K. Brooks; D. A. Cenzer; N. Dinculeanu; P. E. Ehrlich; G. G. Emch; M. Fried; J. Glover; W. W. Hager; J. E. Keesling; J. A. Larson; J. Martinez; C. W. Nelson; V. M. Popov; Z. R. Pop- Stojanovic; M. Rao; A. K. Varma; D. C. Wilson. Associate Professors: P. Bacon; B. H. Edwards; T. 0. Moore; S. A. Saxon; L. C. Shen; K. N. Sigmon; R. Smith; C. W. Stark; A. Vince; T. Walsh; N. J. White. Assistant Professor: H. Voelklein. 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. 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 research in algebra, number theory, analysis, geometry, topology, logic, differential equa- tions, dynamical systems, control theory, probability theory, mathematical systems theory, numerical analysis, approximation theory, combinatorial analysis, graph theory, computer applications, biomathematics, and mathematical physics. In addition to the requirements of the Graduate School, the minimum prerequisite for admission to the program of graduate studies in mathematics is the completion, with an average grade of B or better, of at least 24 credits of undergraduate mathematics, including a full year of cal- culus and three semesters of appropriate work beyond the calculus. The most appropriate courses for this purpose are advanced calculus, abstract algebra, and linear alge- bra. Students lacking part of the requirements will be required to make up the deficiency early in their graduate work. Perrequisites to individual courses should be deter- mined before registration by consultation with the instruc- tor concerned. Some of the courses listed are offered only as needed. ,Since times of offering courses are estimated a year in advance, certain changes may be made if needs are known by the department. The courses MAA 5228, 5229, MAS 5311 and 5312 are required for all advanced degree programs in mathemat- ics. The requirements for the master's degree include 32 semester hours of course work and a comprehensive written examination. A thesis is not required. There are two master's specializations available, one in pure mathe- matics and one in applied mathematics. A student nor- mally takes two years to complete either program. The requirements for a doctoral degree include 36 hours of 6000-level course work in mathematics. No hours of teaching, colloquium, dissertation, or individual work will count toward this requirement. The doctoral student must pass a written and oral