MATHEMATICS / 111 EMA 6262L-Polymer Mechanical Properties Laboratory (2) Prereq: EMA 3066. Coreq: EMA 6262. 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 micro- structural 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 liter- ature on oxidation and corrosion. EMA 6446-Electronic Processes in Crystalline Ceramics (3) Prereq: EMA 4444 or consent of instructor.,The defect solid state and its relation to electrical properties of ceramic mate- rials. Ionic conductivity in ceramics. Solid electrolytes. Theo- ry of electron transport in metallic, semiconducting, and in- sulating ceramics. EMA 6448-Ceramic Processing (3) Introductioa to the sci- ence of ceramic processing, with emphasis on theoretical fundamentals. Examples of state-of-the-art industrial pro- cesses discussed. EMA 6461-Advanced Polymer Physics (3) Prereq: EMA 3066. Use of broad variety of spectroscopic and other scatter- ing phenomena in polymer research. EMA 6507C-Scanning Electron Microscopy and Electron Probe Microanalysis (3) Prereq: EMA 4524. Fundamentals of scanning electron microscopy and electron probe micro- analysis., Laboratory. EMA 6508-Quantitative Microscopy (3) Fundamental rela- tionships of quantitative microscopy and their application to microstructural characterization; designing and testing models for microstructural evolution. EMA 6516-Advanced X-Ray Diffraction (4) Prereq: EMA 4524.. Kinematic x-ray diffraction theory and applications to materials analysis. EMA 6518L-Transmission Electron Microscopy (3) Prereq: EMA 4524. Kinematical and dynamical theory of contrast in thin crystals. Laboratory studies, defect structure, applica- tions to electron diffraction. Laboratory included. EMA 6519L-Specialized Research Techniques in Materials Science (1-2; max: 10) Utilizing primarily STEM, TEM, SEM, EMP, FIM, and optical metallography. EMA 6580-Science of Biomaterials I (3) Undergraduate chemistry essential. Introduction to variables that control compatibility and performance of biomaterials, including physical and chemical properties, corrosion, fatigue, and in- terfacial histochemical changes. EMA 6581-Science of Biomaterials II (3) Undergraduate chemistry essential. Anatomical variables, stresses, materials selection, and selected literature readings. EMA 6625-Advanced Metals Processing (3) Prereq: EMA 4625. Introductory course in metals processing. Advanced treatment of solidification phenomena during metals pro- cessing. Topics to include nucleation, kinetics, solidification structure, segregation and effects of processing variables on structure and properties. EMA 6666-Polymer Processing (2-3) Prereq: EMA 3066. Coreq: EMA 6666L. Major processing methods for polymers and polymeric composites as related to the theological be- havior of these systems. Synthesis of polymers via industrial processes. EMA 6666L-Polymer Processing Laboratory (2) Prereq: EMA 3066. Coreq: EMA 6666. Use of polymer processing equip- ment; industrial methods for synthesizing polymers. EMA 6905-Individual Work in Materials Science and Engi- neering (1-4; max: 8) EMA 6910-Supervised Research (1-5; max: 5) S/U. EMA 6936-Seminar in Materials Science and Engineering (1) Required of all students in Materials Science and Engi- neering. Course continued for two seminars. H. EMA 6937-Seminar in Metallurgy and Ceramic Science (1-2) EMA 6938-Special Topics in Materials Science and Engi- neering (1-4; max: 6) EMA 6940-Supervised Teaching (1-5; max: 5) S/U. EMA 6971-Research for Master's Thesis (1-15) S/U. EMA 7008-Product Liability: Effective Use of Engineering Experts (2) Available for credit toward graduation in the Col- lege of Law. Basic engineering concept underlying product failure and safety, causal relationships, proof of negligence and standards of care. No engineering background required. EMA 7979-Advanced Research (1-9) Research for doctoral students before admission to candidacy. Designed for stu- dents with a master's degree in the field of study or for stu- dents who have been accepted for a doctoral program. Not open to 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 1984-85 Chairman: A. R. Bednarek. Associate Chairmen: B. Ed- wards; Z. R. Pop-Stojanovic. Graduate Coordinator: N. White. Graduate Research Professor: R. E. Kalman. Professors: A. R. Bednarek; B. L. Brechner; J. K. Brooks; L. Cesari; S. Chen; N. Dinculeanu; D. Drake; J. E. Kees- ling; I. Lasiecka; J. Martinez; C. W. Nelson; V. M. Popov; Z. R. Pop-Stojanovic; M. Rao; M. L. Teply; R. Triggiani, A. K. Varma. Associate Professors: P. Bacon; L. S. Block; T. T. Bowman; D. A. Cenzer; B. H. Edwards; J. A. Larson; P. J. McKenna; T. O. Moore; G. X. Ritter; S. A. Saxon; K. N. Sigmon; T. Walsh; N. L. White; D. C. Wilson. Assistant Professors: D. Hart; R. L. Long; R. Smith; A. Vince. The Department of Mathematics offers the degrees of Doctor of Philosophy, Master of Science and Mas- ter 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 mathe- matics at both the master's and doctoral levels. The faculty directs studies and research in algebra, number theory, analysis, geometry, topology, logic, differential equations, dynamical systems, control theory, probability theory, mathematical systems the- ory, numerical analysis, approximation theory, com- binatorial analysis, graph theory, computer applica- tions, and biomathematics. 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, in- cluding a full yeas of calculus and three semesters of appropriate work beyond the calculus. Students lack- ing part of the requirements will be required to make up the deficiency early in their graduate work. Prerequisites to individual courses should be de- termined before registration by consultation with the instructor 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 5226, 5227, MAS 5331 and 5332 are required for all advanced degree programs in mathematics. The requirements for the master's degree include 32 semester hours of course work and a com- prehensive written examination. A thesis is not re- quired. There are two master's specializations avail- able, one in pure mathematics and one in applied mathematics. A student normally takes two years to complete either program. I