MECHANICAL ENGINEERING / 107


Algorithms, Turing machines, undecidability and independence.
Examples and applications in algebra, analysis, geometry, and
topology.
MHF 6306-Mathematical Logic I (3) Languages, models, and
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, Tychonoff theorem.
MTG 5317-Introduction to Topology II (3) Prereq: MTG 5316.
MTG 6256-Differential Geometry 1 (3) Prereq: MAS 5156 or
equivalent. First part of a two-term sequence. Classical differen-
tial 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
Algebraic Geometry I (3)
MTG 6267-Introduction to Commutative Algebra and
Algebraic Geometry II (3) Prereq: MTG 6266.
MTG 6276-Theory of Convexity I (3) Affine sets, convex sets
and cones, convex functions, closures of convex functions, con-
tinuity of convex functions, separation theorems, directional
derivatives and subgradients, ordinary convex programs and
Lagrange multipliers. Fenchel's duality theorem, saddle-
functions.
MTG 6277-Theory of Convexity II (3) Prereq: MTG 6276.
MTG 6346-Topology 1 (3) Prereq: MTG 5317. A basic introduc-
tion to advanced topology. Topics covered include general
topology, algebraic topology, homotopy theory and topology
of manifolds.
MTG 6347-Topology II (3) Prereq: MTG 6346.
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 1982-83
Chairman: R. B. Gaither. Graduate Coordinator: R. K.
Irey. Distinguished Service Professor: E. A. Farber. Pro-
fessors: J. Duffy; R. B. Gaither; R. K. Irey; C. K. Hsieh;
I. Mahig; C.C. Oliver; V. P. Roan; G. N. Sandor; D.
Tesar; G. L. Zachariah. Associate Professors: R. A. Gater;
H. A. Ingley, III; G. K. Matthew; G. Piotrowski. Assistant
Professors: E. C. Hansen; G. J. Miller; C. L. Proctor.
 Programs are available leading to the degrees of Master
of Science, Master of Engineering, Engineer, and Doc-
tor of Philosophy. General areas within which students
may specialize are biomechanical systems, energy con-
version systems, mechanical systems, and thermal
systems.
 Within the specializations noted above are unique
opportunities to complete theoretical and experimental
research investigations in a wide variety of subspecialities
including acoustics, automatic controls, biomechanics,
combustion, cryogenics, energy conversion, environ-
mental control, fluid dynamics, gas dynamics, heat
transfer, kinematic synthesis, machine dynamics, propul-
sion, solar energy, thermodynamics, and vibrations.
EML 5104-Classical Thermodynamics (2) Review of the first,
second, and third laws. Applications to open and closed systems.
Property evalitation using equations of state.
EML 5105-Statistical Thermodynamics (2) Equilibrium distribu-
tions in Bose, Fermi, and Boltzmann systems. Property evalua-
tion from microscopic molecular models. Transport properties.
EML 5131-Combustion 1 (3) Prereq: EML 5105 or consent of
instructor. Fundamentals of combustion, reaction kinetics, com-
bustion and detonation phenomena.


EML 5152-Intermediate Heat Transfer (3) Analytical solution
of conduction, convection and radiation problems. Both exact
and approximate solution techniques are stressed. Mass transfer
in multicomponent fluids is also covered.
EML 5223-Design Synthesis in Vibrations (3) Vibration analysis
of continuous and multidegree of freedom lumped parameter
systems. Computer design projects are developed to allow stu-
dent to acquire some design experience.
EML 5224-Engineering Acoustics and Noise Control (3)
Fundamentals of acoustics; instrumentation for acoustic and
vibration measurements; field and laboratory practice; applica-
tions to noise control.
EML 5273-Advanced Dynamics of Machinery (3) Prereq: EML
3260 or consent of instructor. Analytic and numeric formula-
tions of geometrically complex machines. Single and multiple
degree of freedom systems. Robotic applications.
EML 5311-Control System Theory (3) Analysis of mechanical
system stability and control. Use of Laplace transform. Factor
theorems, Routhe and Hurwitz criteria, Niquist, Bode and Root
Locus methods are used in design. Introduction to state.
variables,.controllability, and abbreviability.
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.
In-depth studies of the design of machine systems, including
gearing and transmission, and other mechanical, electronic,
hydraulic, pneumatic and thermal components and subsystems;
automatic sequencing of machine functions; machine-compo-
nent manufacture; design documentation for machine produc-
tion quality control.
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) Intermediate
course in theory and analysis of gas turbine engines and major
components.
EML 5525-Mechanics of the Human Locomotor System (2)
Prereq: EGM 3420, 3520. Study of the human musculoskeletal
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 5526-Biomechanics of Surgical Implants (3) Prereq: EML
3010 and EGM 3520. Engineering analyses of surgical devices
and practices used for the treatment of disorders of the
musculoskeletal system. Mechanical properties of biomaterials,
forces and motions in the body, and principles of treatment of
bone fractures.
EML 5527-Similitude in Mechanical Engineering Design (3)
Principles of similitude for model sign, analysis, and design
analogies. Similitude as a basis for design optimization.
EML 5605-Advanced Refrigeration,(3) Prereq: EML 4522.
EML 5714-Gas Dynamics of Internal Flow Systems (3) Inter-
mediate level course emphasizing one-dimensional compressi-
ble flow.
EML 6103-Advanced Thermodynamics (3) Thermodynamics
of nonsimple systems. Multicomponent and multiphase thermo-
dynamic analysis.
EML 6108-Advanced Statistical Mechanics and Kinetic Theory
(3) Prereq: EML 5105. Highly degenerate Bose and Fermi
systems. Statistical mechanics of dependent particles. The
:Boltzmann transport equation.
EML 6132-Combustion II (3) Prereq: EML 5131. Advanced
analysis of combustion systems; diagnostic techniques, and
numerical procedures for modeling experimental and practical
systems.
EML 6154-Conduction Heat Transfer (2) Prereq: MAP 3302,
EML 4140. Studies of heat conduction in homogeneous,
heterogeneous, isotropic, anisotropic, stationary, moving bodies
in Cartesian, cylindrical and spherical systems.
EML 6155-Convective Heat Transfer I (3) Prereq: EML 6716
or equivalent. Application of the equations of motion to forced
and free convection with laminar flow. Solution techniques to
include simplification to ordinary differential equations,
boundary layer approximations, similarity transformations, and