MECHANICAL ENGINEERING /137


theories; Godel's completeness and incompleteness theorems;
formal number theory and axiomatic set theory; applications to
other areas of mathematics.
MHF 6307-Mathematical Logic II (3) Prereq: MHF 6306.
MTG 5316-Introduction to Topology I (3) Basic axioms and
concepts of point-set topology, compactness, connectedness,
separation axioms, metric spaces, metrization. Tietze extension
theorem. Urysohn lemma, Tychonofftheorem, fundamental group.
MTG 5317-Introduction to Topology II (3) Prereq: MTG 5316.
MTG 6256-Differential Geometry 1 (3) Prereq: MAS 5157 or
equivalent. First partof a two-term sequence. Classical differential
geometry of curves and surfaces, differentiable manifolds, tensor
analysis, affine connection, Riemannian geometry. Lie groups, Lie
algebras, applications to physics.
MTG 6257-Differential Geometry II (3) Prereq: MTG 6256.
MTG 6266-Introduction to Commutative Algebra and Alge-
braic Geometry I (3)
MTG 6267-Introduction to Commutative Algebra and Alge-
braic Geometry II (3) Prereq: MTG 6266.
MTG 6346-Topology I (3) Prereq:MTG 5317. A basic introduc-
tion to advanced topology. Topics covered include general topol-
ogy, algebraic topology, homotopy theory and topology of mani-
folds.
MTG 6347-Topology II (3) Prereq: MTG 6346.
MTG 6401-Ergodic Theory and Dynamical Systems I (3) Prereq:
MTG 5317, MAA 6617, or consent of instructor. Periodic points,
recurrence, nonwandering and chain recurrent sets, topological
conjugacy, minimal sets. Topological entropy, metric entropy.
Measure preserving transformations, ergodicity, mixing. Birkhoff's
ergodictheorem. Bernouil I i shifts. Anosov diffeomorphisms, struc-
tural stability, hyperbolic sets. Basic sets, symbolic dynamics,
Markov partitions. Lyapunov exponents, KAM (Kolmogorov,
Arnold, Moser) theory.
MTG 6402-Ergodic Theory and Dynamical Systems II (3)
Prereq: MTG 6401. Continuation of MTG 6401.
MTG 7396-Advanced Topics in Topology 1 (3; max: 6) Prereq:
MTG 6347. Topics change yearly.
MTG 7397-Advanced Topics in Topology II (3; max: 6)




MECHANICAL ENGINEERING
College of Engineering

 GRADUATE FACULTY 1992-93
 Chairman: W. G. Tiederman. Graduate Coordinator: C. K.
 Hsieh. Graduate Research Professors:J. Duffy; A.E.S. Green;
 J. Tlusty. Ebaugh Professor: A. A. Seireg. Professors: R. B.
 Gaither; D. Y. Goswami; C. K. Hsieh; C. C. Oliver; V. P.
 Roan. Associate Professors:C. D. Crane; R. A. Gater; H. A.
 Ingley, III; G. K. Matthew; C. L. Proctor; J. K. Schueller; K.
 S. Smith. Assistant Professors: E. C. Hansen; J. F. Klausner;
 W. E. Lear; G. J. Micklow; G. J. Miller; J. E. Peterson; C. J.
 Saltiel; J. C. Ziegert.

 Programs are available leading to the degrees of Master
 of Science, Master of Engineering, Engineer, and Doctor of
 Philosophy. General areas within which students may
 specialize are biomechanical systems, energy conversion
 systems, mechanical systems, thermal systems, manufac-
 turing, and robotics.
 Within the specializations noted above are unique op-
 portunities to complete theoretical and experimental re-
 search investigations in a wide variety of subspecialities
 including acoustics, automatic controls, biomechanics,
 combustion, cryogenics, energy conversion, environmental
 control, fluid dynamics, gas dynamics, heat transfer, kine-
 matic synthesis, machine dynamics, propulsion, solar en-
 ergy, thermodynamics, and vibrations.


EML 5104-Classical Thermodynamics (3) Review of the first,
second, and third laws. Applications to open and closed systems.
Property evaluation using equations of state.
EML 5105-Statistical Thermodynamics (3) Equilibrium distribu-
tions in Bose, Fermi, and Boltzmann systems; Property evaluation
from microscopic molecular models. Transport properties.
EML 5124-Two-Phase Flow and Boiling Heat Transfer (3)
EML 5131-Combustion I (3) Prereq: EML 5105 and consent of
instructor. Fundamentals of combustion, reaction kinetics, com-
bustion and detonation phenomena.
EML 5152-Intermediate Heat Transfer (3) Analytical solution of
conduction, convention, and radiation problems; exact and ap-
proximate solution techniques. Mass transfer in multicomponent
fluids.
EML 5223-Design Synthesis in Vibrations (3) Vibration analysis
of continuous and multidegree of freedom lumped parameter
systems. Computer design projects allow student to acquire some
design experience.
EML 5224-Engineering Acoustics and Noise Control (2) Funda-
mentals of acoustics; instrumentation for acoustic and vibration
measurements;field and laboratory practice; applicationsto noise
control.
EML 5244-Lubrication of Bearings (3) Prereq: EML 4500 and
4701. Hydrodynamic, hydrostatic, and squeeze film lubrication
fundamentals developed from basic fluid mechanics and applied
to typical machine bearings. Design considerations such as load
capacity, friction, losses, heat transfer, and bearing materials.
EML 5273-Advanced Dynamics of Machinery (3) Prereq: EML
3262 or consent of instructor. Analytic and numeric formulations
of geometrically complex machines. Single and multiple degree
of freedom systems. Robotic applications.
EML 5311-Control System Theory (3) Analysis of dynamic
mechanical engineering control systems. Introduction to classi-
cal, digital, and state space techniques. Modeling, stability, tran-
sient response, frequency response. Implementation considera-
tion.
EML 5316-Computer Control of Machine Processes (3) Prereq:
CGS 3463 or permission of instructor. Basic concepts, including
hardware and software. Modeling of machines, processes, and
their controllers.
EML 5455-Clean Combustion Technology (2) Latest develop-
ments on combustion of pulverized coal, coal water mixtures,
natural gas-coal blends, and fluidized bed combustion.
EML 5465-Energy Management for Mechanical Engineers (3)
Prereq: permission of instructor. Energy use analysis in building
envelopes, mechanical systems, and industrial processes. Energy
conservation strategies and design techniques. Alternative energy
applications.
EML 5504-Mechanical Design I (3) Prereq: EML 4500, 4522.
Problem formulation for design, design criteria, and structuring of
appropriate methodologies for developing and comparing prob-
lem solutions. Applications covering a broad specturm of me-
chanical systems.
EML 5505-Mechanical Design II (3) Prereq: EML 5504. Case
studies and design projects involving the complete design and
prototype construction of automatic machinery components and
subsystems.
 EML 5515-Gas Turbines and Jet Engines (3) Prereq: EML 4460
 orconsentof instructor. Theory and analysis of gas turbine engines
 and major components.
 EML5516-Design of Thermal Systems (3) Prereq:EML 4140 and
 4701 or equivalent. Modeling of thermal equipment; system
 simulation; optimization, search methods, thermal system design
 and optimization using dynamic, geometric, and linear program-
 ming; simulation of large systems, vector and reduced gradient
 searches.
 EML 5595-Mechanics of the Human Locomotor System (2)
 Prereq: EGM 3420, 3520. Study of the human muscolskeletal
 system from the engineer's perspective. Sensors and actuators in
 the neuromuscular system; structural elements and bearings in the
 skeletal system analysis of human activities.
 EML 5605-Advanced Refrigeration (3) Prereq: EML 4522.
 EML 5710-Fundamentals of Computational Fluid Dynamics (3)
 Prereq: EML 4141 and 4702. Fundamentals of finite-difference