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Anthropology |
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ANTH 7400 - Linguistic Anthropology
An advanced introduction to the study of language from an anthropological point of view. No prior coursework in linguistics is expected, but the course is aimed at graduate students who will use what they learn in their own anthropologically-oriented research. Topics include an introduction to such basic concepts in linguistic anthropology as language in world-view, the nature of symbolic meaning, language and nationalism, universals and particulars in language, language in history and prehistory, the ethnography of speaking, the nature of everyday conversation, and the study of poetic language. The course is required for all Anthropology graduate students. It also counts toward the Theory requirement for the M.A. in Linguistics.
Credits: 3
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ANTH 7450 - Native American Languages
Surveys the classification and typological characteristics of Native American languages and the history of their study, with intensive work on one language by each student. Some linguistics background is helpful.
Credits: 3
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ANTH 7470 - Language and Culture in the Middle East
Language and Culture in the Middle East
Credits: 3
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ANTH 7480 - Language and Prehistory
This course covers the basic principles of diachronic linguistics (the study of how languages change over time) and the uses of linguistic data in the reconstruction of prehistory. Considered is the use of linguistic evidence in tracing prehistoric population movements in demonstrating contact among prehistoric groups and in the reconstruction of daily life. To the extent that the literature permits, examples and case studies will be drawn from the Mayan language area of Central America, and will include discussion of the pre-Columbian Mayan writing system and its ongoing decipherment. Fulfills the comparative-historical requirement for Linguistics graduate students.
Credits: 3
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ANTH 7541 - Topics in Sociolinguistics
Analyzes particular aspects of the social use of language. Topics vary from year to year.
Credits: 3
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ANTH 7559 - New Course in Anthropology
New course in the subject of anthropology.
Credits: 1 to 4
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ANTH 7589 - Topics in Archaeology
Topics to be announced prior to each semester, dealing with archaeology
Credits: 3
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ANTH 7590 - Topics in Social and Cultural Anthropology
Topics to be announced prior to each semester, dealing with social and cultural anthropology.
Credits: 3
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ANTH 7603 - Archaeological Aproaches to Atlantic Slavery
This course explores how archaeological and architectural evidence can be used to enhance our understanding of the slave societies that evolved in the early-modern Atlantic world. The primary focus is the Chesapeake and the British Caribbean, the later exemplified by Jamaica and Nevis. The course is structured around a series of data-analysis projects that draw on the Digital Archaeological Archive of Comparative Slavery (http://www.daacs.org).
Credits: 3
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ANTH 7610 - Hindu World-view
Explores the indigenous philosophies of Hindu South Asia, as revealed in ritual, myth and text.
Credits: 3
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ANTH 7630 - Chinese Family and Religion
Analyzes various features of traditional Chinese social organization as it existed in the late imperial period. Includes the late imperial state; Chinese family and marriage; lineages; ancestor worship; popular religion; village social structure; regional systems; and rebellion.
Credits: 3
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ANTH 7650 - Asian-American Ethnicity
Credits: 3
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ANTH 7660 - China: Empire and Nationalities
Credits: 3
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ANTH 7700 - Social Production of Health and Disease
The seminar explores health and disease in socio-cultural, political-economic, and historic contexts, with a particular focus on health disparities. The course is interdisciplinary (including anthropology, sociology, nursing and public health).
Credits: 3
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ANTH 7808 - Advanced Method and Theory in Archaeology
Seminar in current methodological and theoretical issues in archaeology. In some years the common course requirement in archaeological anthropology may be fulfilled by ANTH 7810.
Credits: 3
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ANTH 7810 - Archaeology I
Analyzes the transformation of societies based on a mobile, hunting-gathering adaptation to an agricultural economy with permanent villages and emerging political complexity. Models of the origin of agriculture and sedentism are reviewed and evaluated.
Credits: 3
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ANTH 7820 - Archaeology II
Examines the development of social ranking, operation of complex societies, and formation of the state. Case-studies from Old and New Worlds provide basis for evaluating classic and recent constructs proposed by anthropologists for the organization and collapse of chiefly society, theories on state formation, urbanism, and early empires.
Credits: 3
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ANTH 7830 - Seminar in North American Archaeology
Discusses current topics in the evolution of prehistoric cultures in North America. Emphasizes patterns in the development of organization, exchange, and subsistence.
Credits: 3
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ANTH 7840 - Quantitative Analysis in Anthropology I
This course examines the quantitative analytical techniques used in anthropology and archaeology. Topics include seriation, regression analysis, measures of diversity, and classification.
Credits: 3
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ANTH 7850 - Archaeology of the Andes
An introduction to the archaeology of Andean South America (Peru, Bolivia, and Ecuador) from the first human settlement through the Spanish conquest of the Incas. The course examines the lifeways of the first Andeans, early monumentality and urbanism, the relationship between Andean environments and cultural developments, the economic and ideological underpinnings of Andean states, and their collapse.
Credits: 3
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ANTH 7855 - Historical Archaeology
Historical archaeology is the archaeological study of the continental and transoceanic human migrations that began in the fifteenth century, their effects on native peoples, and historical trajectories of the societies that they created. This course offers an introduction to the field. It emphasizes how theoretical models, analytical methods, and archaeological data can be combined to make and evlaluate credible inferences about the past.
Credits: 0
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ANTH 7870 - Advanced Topics in African Archaeology
An intensive examination of recent and important works pertaining to African archaeology, both in theory and in practice.
Credits: 3
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ANTH 7880 - African Archaeology
Surveys transformations in Africa from four million years ago to the present, known chiefly through archeology, and focusing on Stone and Iron Age societies in the last 150,000 years.
Credits: 3
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ANTH 7890 - Current Issues in Archaeology
Advanced seminar dealing with issues of current interest in archaeology. Topics are announced prior to each semester.
Credits: 3
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ANTH 7900 - Anthropology and Colonialism
Addresses three broad issues: how colonial encounters shaped anthropology; how they continue to influence the discipline; and how an awareness of them should recast current fieldwork and theory. Draws on and critiques the burgeoning literature in post-colonial theory as it concerns the agenda of anthropology.
Credits: 3
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ANTH 8410 - Seminar in the Teaching of Anthropology
Available for graduate students who are currently engaged as teaching assistants, this seminar aims to foster the effective design and conduct of classes, particularly sections.
Credits: 3
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ANTH 8559 - New Course in Anthropology
New course in the subject of anthropology.
Credits: 1 to 4
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ANTH 8998 - Non-Topical Research, Preparation for Research
For master’s research, taken before a thesis director has been selected.
Credits: 3 to 12
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ANTH 8999 - Non-Topical Research
For master’s thesis, taken under the supervision of a thesis director.
Credits: 3 to 12
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ANTH 9010 - Directed Readings
Directed Readings
Credits: 1 to 12
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ANTH 9020 - Directed Readings
Directed Readings
Credits: 1 to 12
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ANTH 9050 - Research Practicum
Research Practicum
Credits: 1 to 12
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ANTH 9060 - Research Practicum
Research Practicum
Credits: 1 to 12
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ANTH 9559 - New Course in Anthropology
New course in the subject of anthropology.
Credits: 1 to 4
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ANTH 9998 - Non-Topical Research, Preparation for Doctoral Research
For doctoral research, taken before a dissertation director has been selected.
Credits: 3 to 12
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ANTH 9999 - Non-Topical Research
For doctoral dissertation, taken under the supervision of a dissertation director.
Credits: 3 to 12
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Applied Mathematics |
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APMA 5070 - Numerical Methods
Introduces techniques used in obtaining numerical solutions, emphasizing error estimation. Includes approximation and integration of functions, and solution of algebraic and differential equations. Prerequisite: Two years of college mathematics, including some linear algebra and differential equations, and the ability to write computer programs in any language.
Credits: 3
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APMA 6020 - Continuum Mechanics with Applications
Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as AM 6020, MAE 6020, CE 6720 Prerequisite: Instructor Permission
Credits: 3
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APMA 6130 - Mathematical Foundations of Continuum Mechanics
Describes the mathematical foundations of continuum mechanics from a unified viewpoint. Review of relevant concepts from linear algebra, vector calculus, and Cartesian tensors; kinematics of finite deformations and motions; finite strain measures; linearization; concept of stress; conservation laws of mechanics and equations of motion and equilibrium; constitutive theory; constitutive laws for nonlinear elasticity; generalized Hooke’s law for a linearly elastic solid; constitutive laws for Newtonian and non-Newtonian fluids; basic problems of continuum mechanics as boundary-value problems for partial differential equations. Cross-listed as AM 6130. Prerequisite: Linear Algebra, Vector Calculus, Elementary PDE (may be taken concurrently).
Credits: 3
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APMA 6150 - Linear Algebra
Analyzes systems of linear equations; least squares procedures for solving over determined systems; finite dimensional vector spaces; linear transformations and their representation by matrices; determinants; Jordan canonical form; unitary reduction of symmetric and Hermitian forms; eigenvalues; and invariant subspaces. Prerequisite: Three years of college mathematics or instructor permission.
Credits: 3
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APMA 6240 - Nonlinear Dynamics and Waves
Introduces phase-space methods, elementary bifurcation theory and perturbation theory, and applies them to the study of stability in the contexts of nonlinear dynamical systems and nonlinear waves, including free and forces nonlinear vibrations and wave motions. Examples are drawn from mechanics and fluid dynamics, and include transitions to periodic oscillations and chaotic oscillations. Also cross-listed as MAE 6240. Prerequisite: Undergraduate ordinary differential equations or instructor permission.
Credits: 3
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APMA 6340 - Numerical Analysis
Topics include the solution of systems of linear and nonlinear equations, calculations of matrix eigenvalues, least squares problems, and boundary value problems in ordinary and partial differential equations. Prerequisite: Two years of college mathematics, including some linear algebra, and the ability to write computer programs.
Credits: 3
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APMA 6370 - Singular Perturbation Theory
Analyses of regular perturbations; roots of polynomials; singular perturbations in ODE’s; periodic solutions of simple nonlinear differential equations; multiple-Scales method; WKBJ approximation; turning-point problems; Langer’s method of uniform approximation; asymptotic behavior of integrals; Laplace Integrals; stationary phase; and steepest descents. Examples are drawn from physical systems. Cross-listed as MAE 6370. Prerequisite: Familiarity with complex analysis.
Credits: 3
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APMA 6410 - Engineering Mathematics I
Review of ordinary differential equations. Initial value problems, boundary value problems, and various physical applications. Linear algebra, including systems of linear equations, matrices, eigenvalues, eigenvectors, diagonalization, and various applications. Scalar and vector field theory, including the divergence theorem, Green’s theorem, Stokes theorem, and various applications. Partial differential equations that govern physical phenomena in science and engineering. Solution of partial differential equations by separation of variables, superposition, Fourier series, variation of parameters, d’ Alembert’s solution. Eigenfunction expansion techniques for nonhomogeneous initial-value, boundary-value problems. Particular focus on various physical applications of the heat equation, the potential (Laplace) equation, and the wave equation in rectangular, cylindrical, and spherical coordinates. Cross-listed as MAE 6410. Prerequisite: Graduate standing.
Credits: 3
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APMA 6420 - Engineering Mathematics II
Further and deeper understanding of partial differential equations that govern physical phenomena in science and engineering. Solution of linear partial differential equations by eigenfunction expansion techniques. Green’s functions for time-independent and time-dependent boundary value problems. Fourier transform methods, and Laplace transform methods. Solution of a variety of initial-value, boundary-value problems. Various physical applications. Study of complex variable theory. Functions of a complex variable, and complex integral calculus, Taylor series, Laurent series, and the residue theorem, and various applications. Serious work and efforts in the further development of analytical skills and expertise. Cross-listed as MAE 6420. Prerequisite: Graduate standing and APMA 6410 or equivalent.
Credits: 3
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APMA 6430 - Statistics for Engineers and Scientists
Analyzes the role of statistics in science; hypothesis tests of significance; confidence intervals; design of experiments; regression; correlation analysis; analysis of variance; and introduction to statistical computing with statistical software libraries. Prerequisite: Admission to graduate studies.
Credits: 3
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APMA 6440 - Applied Partial Differential Equations
Includes first order partial differential equations (linear, quasilinear, nonlinear); classification of equations and characteristics; and well-posedness of initial and boundary value problems. Cross-listed as MAE 6440. Prerequisite: APMA 6420 or equivalent.
Credits: 3
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APMA 6548 - Special Topics in Applied Mathematics
Topics vary from year to year and are selected to fill special needs of graduate students. Prerequisite: Instructor permission.
Credits: 3
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APMA 6720 - Computational Fluid Dynamics I
Topics include the solution of flow and heat transfer problems involving steady and transient convective and diffusive transport; superposition and panel methods for inviscid flow; finite-difference methods for elliptic, parabolic, and hyperbolic partial differential equations; elementary grid generation for odd geometries; and primitive variable and vorticity-steam function algorithms for incompressible, multidimensional flows. Extensive use of personal computers/workstations including graphics. Cross-listed as MAE 6720. Prerequisite: MAE 6310 or instructor permission.
Credits: 3
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APMA 6993 - Independent Study
Detailed study of graduate-level material on an independent basis under the guidance of a faculty member.
Credits: 1 to 12
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APMA 6995 - Supervised Project Research
Formal record of student commitment to project research under the guidance of a faculty advisor. May be repeated as necessary.
Credits: 1 to 12
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APMA 7080 - Inelastic Solid Mechanics
Emphasizes the formulation of a variety of nonlinear models. Specific topics include nonlinear elasticity, creep, visco-elasticity, and elasto-plasticity. Solutions to boundary value problems of practical interest are presented in the context of these various theories in order to illustrate the differences in stress distributions caused by different types of material nonlinearities. Cross-listed as AM 7080. Prerequisite: AM 6020.
Credits: 3
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APMA 7140 - Nonlinear Elasticity Theory
Describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. Both physical and mathematical implications considered. The results are applicable to rubber-like and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross-listed as AM 7140 Nonlinear Elasticity. Prerequisite: AM 6020 Continuum Mech. (or equiv)
Credits: 3
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APMA 7340 - Numerical Solution of Partial Differential Equations
Topics include the numerical solution of elliptic equations by finite element methods; solution of time dependent problems by finite element and finite difference methods; and stability and convergence results for the methods presented. Prerequisite: One or more graduate courses in mathematics or applied mathematics.
Credits: 3
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APMA 7548 - Selected Topics in Applied Mathematics
Content varies annually; topics may include wave propagation theory, shell theory, control theory, or advanced numerical analysis. Prerequisite: Instructor permission.
Credits: 3
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APMA 7670 - Micromechanics of Heterogeneous Media
Includes averaging principles; equivalent homogeneity; effective moduli; bounding principles; self-consistent schemes; composite spheres; concentric cylinders; three phase model; repeating cell models; inelastic and nonlinear effects; thermal effects; isotropic and anisotropic media; and strength and fracture. Cross-listed as AM 7670, and CE 7770. Prerequisite: APMA 6020.
Credits: 3
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APMA 7720 - Computational Fluid Dynamics II
A continuation of APMA 6720. More advanced methods for grid generation, transformation of governing equations for odd geometries, methods for compressible flows, methods for parabolic flows, calculations using vector and parallel computers. Use of personal computers/workstations/supercomputer including graphics. Cross-listed as MAE 7720. Prerequisite: APMA 6720 or equivalent.
Credits: 3
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APMA 7993 - Independent Study
Detailed study of advanced graduate-level material on an independent basis under the guidance of a faculty member.
Credits: 1 to 12
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APMA 8548 - Advanced Topics in Applied Mathematics
Course content varies from year to year and depends on students’ interests and needs. See APMA 7548 for possible topics. Prerequisite: Instructor permission.
Credits: 3
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APMA 8897 - Graduate Teaching Instruction
For master’s students.
Credits: 1 to 12
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APMA 8995 - Supervised Project Research
Formal record of student commitment to project research for Master of Applied Mathematics degree under the guidance of a faculty advisor. Registration may be repeated as necessary.
Credits: 1 to 12
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APMA 8999 - Non-Topical Research, Master’s Thesis
Formal record of student commitment to master’s thesis research under the guidance of a faculty advisor. Registration may be repeated as necessary.
Credits: 1 to 12
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APMA 9897 - Graduate Teaching Instruction
For doctoral students.
Credits: 1 to 12
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APMA 9999 - Non-Topical Research, Doctoral Thesis
Formal record of student commitment to doctoral research under the guidance of a faculty advisor. May be repeated as necessary.
Credits: 1 to 12
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Applied Mechanics |
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AM 6010 - Advanced Mechanics of Materials
Reviews basic stress-strain concepts and constitutive relations. Studies unsymmetrical bending, shear center, and shear flow. Analyzes of curved flexural members, torsion, bending, and twisting of thin walled sections. Cross-listed as CE 6710. Prerequisite: Undergraduate mechanics and mathematics.
Credits: 3
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AM 6020 - Continuum Mechanics With Applications
Introduces continuum mechanics and mechanics of deformable solids. Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids. Cross-listed as APMA 6020, MAE 6020; Taught concurrently with CE 6720. Prerequisite: Instructor permission.
Credits: 3
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AM 6030 - Computational Solid Mechanics
Analyzes of variational and computational mechanics of solids, potential energy, complementary energy, virtual work, Reissner’s principle, Ritz and Galerkin methods; displacement, force and mixed methods of analysis; finite element analysis, including shape functions, convergence and integration; and applications in solid mechanics. Cross-listed as CE 6730.
Credits: 3
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AM 6040 - Plates and Shells
Includes the classical analysis of plates and shells of various shapes; closed-form numerical and approximate methods of solution of governing partial differential equations; and advanced topics (large deflection theory, thermal stresses, orthotropic plates). Cross listed with MAE 6040 and taught concurrently w/ CE 6740. Prerequisite: APMA 6410 and CE 6710 or 6720.
Credits: 3
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AM 6060 - Applied Boundary Element Analysis
Analyzes the fundamental concepts of Green’s functions, integral equations, and potential problems; weighted residual techniques and boundary element methods; poisson type problems, including cross-sectional analysis of beams and flow analyses; elastostatics; and other applications. Prerequisite: AM 6710 or 6030.
Credits: 3
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AM 6070 - Theory of Elasticity
Reviews concepts/stress, strain, equilibrium, compatibility; Hooke’s law;displacement & stress formulations of elasticity problems;plane stress and strain problems in rectangular coordinates;Airy’s stress function; plane stress and strain problems in polar coordinates,axisymmetric problems;torsion of prismatic bars (semi-inverse method using real functions);thermal stress;energy methods.Pre-requisites:CE 6720,AM/MAE 6020,or instructor permission
Credits: 3
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AM 6130 - Mathematical Foundations of Continuum Mechanics
Describes the mathematical foundations of continuum mechanics from a unified viewpoint. The relevant concepts from linear algebra, vector calculus, and Cartesian tensors; the kinematics of finite deformations and motions leading to the definition of finite strain measures; the process of linearization; and the concept of stress. Conservation laws of mechanics yield the equations of motion and equilibrium and description of constitutive theory leading to the constitute laws for nonlinear elasticity, from which the more familiar generalized Hooke’s law for linearly elastic solid is derived. Constitutive laws for a Newtonian and non-Newtonian fluid are also discussed. The basic problems of continuum mechanics are formulated as boundary value problems for partial differential equations. Cross-listed as APMA 6130. Prerequisite: Linear algebra, vector calculus, elementary PDE (may be taken concurrently).
Credits: 3
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AM 6200 - Energy Principles in Mechanics
Analyzes the derivation, interpretation, and application of the principles of virtual work and complementary virtual work to engineering problems; related theorems, such as the principles of the stationary value of the total potential and complementary energy, Castigliano’s Theorems, theorem of least work, and unit force and displacement theorems. Introduces generalized, extended, mixed, and hybrid principles; variational methods of approximation, Hamilton’s principle, and Lagrange’s equations of motion. Uses variational theorems to approximate solutions to problems in structural mechanics. Cross-listed as CE 6700. Prerequisite: Instructor permission.
Credits: 3
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AM 6210 - Analytical Dynamics
Topics include the kinematics of rigid body motion; Eulerian angles; Lagrangian equations of motion, inertia tensor; momental ellipsoid; rigid body equations of motion, Euler’s equation, force-free motion; polhode and herpolhode; theory of tops and gyroscopes; variational principles; Hamiltonian equations of motion, Poinsote representation. Prerequisite: Differential equations, undergraduate dynamics course.
Credits: 3
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AM 6220 - Waves
The topics covered are: plane waves; d’Alembert solution; method of characteristics; dispersive systems; wavepackets; group velocity; fully-dispersed waves; Laplace, Stokes, and steepest descents integrals; membranes, plates and plane-stress waves; evanescent waves; Kirchhoff’s solution; Fresnel’s principle; elementary diffraction; reflection and transmission at interfaces; waveguides and ducted waves; waves in elastic half-spaces; P, S, and Rayleigh waves; layered media and Love waves; slowly-varying media and WKBJ method; Time-dependent response using Fourier-Laplace transforms; some nonlinear water waves. Also cross-listed as MAE 6220. Prerequisite: MAE/AM 6020 Continuum Mechanics and Applications, or equivalent.
Credits: 3
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AM 6230 - Vibrations
Topics include free and forced vibrations of undamped and damped single-degree-of-freedom systems and undamped multi-degree-of-freedom systems; use of Lagrange’s equations; Laplace transform, matrix formulation, and other solution methods; normal mode theory; introduction to vibration of continuous systems. Cross-listed as CE 6230. Prerequisite: Instructor permission.
Credits: 3
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AM 6280 - Motion Biomechanics
Focuses on the study of forces (and their effects) which act on the musculoskeletal structures of the human body. Based on the foundations of functional anatomy and engineering mechanics (rigid body and deformable approaches); students are exposed to clinical problems in orthopaedics and rehabilitation. Cross-listed as BME 6280. Prerequisite: BME 6103 or instructor permission.
Credits: 3
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AM 6310 - Fluid Mechanics I
Analyzes of hydrostatics, including surface tension; kinematics; non-inertial reference frames; rigorous formulation of conservation equations for mass, momentum, and energy; Euler and Bernoulli equations; vorticity dynamics; two-dimensional potential flow theory, complex potentials; applications to airfoils; the Navier-Stokes equations: selected exact and approximate solutions. Cross-listed as MAE 631. Prerequisite: Instructor permission.
Credits: 3
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AM 6320 - Fluid Mechanics II
Topics include the laminar boundary layer equations, differential and integral; elementary similar and integral solutions; introduction to and modeling of turbulent flows; surface waves; quasi-one-dimensional compressible, perfect gas dynamic analysis; practical applications. Cross- listed as MAE 6320. Prerequisite: AM 6310.
Credits: 3
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AM 6650 - Mechanics of Composite Materials
Analyzes the properties and mechanics of fibrous, laminated composites; stress, strain, equilibrium, and tensor notation; micromechanics, lamina, laminates, anisotropic materials, classical lamination theory, stiffness and strength, interlaminar stresses, fabrication, and test methods; thermal stresses, analysis, design and computerized implementation. Taught concurrently with CE 6750. Prerequisite: CE 2310 or equivalent and a computer language
Credits: 3
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AM 6660 - Stress Analysis of Composites
Focuses on 3-D anisotropic constitutive theory, edge effects and interlaminar stresses, failure criteria, fracture, anisotropic elasticity, micromechanics, laminated plates, hygro-thermal effects, conduction and diffusion. Taught concurrently w/ AM 6660. Prerequisite: CE 6750 or AM 6650.
Credits: 3
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AM 6710 - Finite-Element Analysis
Introduces finite element methods for solving problems in heat transfer, fluid mechanics, solid mechanics, and electrical fields. Emphasizes the basics of one, two, and three-dimensional elements; applications to bars, electrical networks, trusses, conduction and convection heat transfer, ideal and viscous flow, electrical current flow, plane stress, plane strain, and elasticity; development of computer codes to implement finite element techniques. Cross-listed as MAE 6710. Prerequisite: Instructor permission.
Credits: 3
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AM 6750 - Theory of Structural Stability
Introduces the elastic stability of structural and mechanical systems. Topics include classical stability theory and buckling of beams, trusses, frames, arches, rings and thin plates and shells; derivation of design formulas; computational formulation and implementation. Cross-listed as CE 6775. Prerequisite: Instructor permission.
Credits: 3
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AM 6910 - Special Problems in Applied Mechanics
Detailed study of special topics in mechanics.
Credits: 3
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AM 6920 - Special Problems in Applied Mechanics
Detailed study of special topics in mechanics.
Credits: 3
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AM 6993 - Independent Study in Applied Mechanics
Detailed study of graduate course material on an independent basis under the guidance of a faculty member.
Credits: 1 to 12
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AM 6995 - Supervised Project Research in Applied Mechanics
Detailed study of graduate course material on an independent basis under the guidance of a faculty member. Pre-requisite: Instructor Permission
Credits: 1 to 12
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AM 7030 - Thermal Structures
Topics include the fundamentals of thermal structural analysis; mechanical and thermodynamic foundations; formulation of heat transfer and thermal-structural problems; heat transfer in structures; thermal stresses in rods, beams, and plates; thermally induced vibrations; thermoelastic stability; and computational methods. Prerequisite: AM 6020 or instructor permission; corequisite: AM 6070.
Credits: 3
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AM 7040 - Theory of Shells
Introduces the nonlinear, thermoelastic theory of shells. Governing equations are derived by a mixed approach in which those equations of three-dimensional continuum mechanics that are independent of material properties are used to derive the corresponding shell equations, whereas the constitutive equations of shell theory which, unavoidably, depend on experiments, are postulated. Emphasizes efficient, alternative formulations of initial/boundary value problems, suitable for asymptotic or numerical solution, and discusses variational principles. Some comparisons made with exact, three-dimensional solutions. Prerequisite: AM 6020 and 6040.
Credits: 3
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AM 7080 - Inelastic Solid Mechanics
Emphasizes the formulation of a variety of nonlinear models. Specific topics include nonlinear elasticity, creep, visco-elasticity, and elasto-plasticity. Solutions to boundary value problems of practical interest are presented in the context of these various theories in order to illustrate the differences in stress distributions caused by different types of material nonlinearities. Cross-listed as APMA 7080. Prerequisite: AM 6020.
Credits: 3
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AM 7120 - Advanced Theory of Elasticity
Topics include generalized Hooke’s law, strain-energy density, uniqueness; classes of boundary value problems (Navier’s and Beltrami-Mitchell equations); torsion (Dirlichlet and Neumann problems); flexure; complex variable formulation of torsional (Dirlichlet and Neumann problems) and two-dimensional problems; general solution methodologies based on complex variable techniques and elements of potential theory for torsional and two-dimensional problems; three-dimensional problems; wave propagation; and energy methods. Prerequisite: AM 6020 or instructor permission and AM 6070.
Credits: 3
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AM 7140 - Nonlinear Elasticity Theory
Describes the theory of finite (nonlinear) elasticity governing large deformations of highly deformable elastic solids. New features not present in the linear theory are emphasized. These include instabilities (both material and geometric), normal stress effects, non-uniqueness, bifurcations and stress singularities. A variety of illustrative boundary value problems will be discussed which exhibit some of the foregoing features. Both physical and mathematical implications considered. The results are applicable to rubber-like and biological materials and the theory serves as a prototype for more elaborate nonlinear theories of mechanics of continuous media. Cross-listed as APMA 7140. Prerequisite: AM 6020.
Credits: 3
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AM 7250 - Random Vibrations
Topics include a review of probability theory; stochastic processes, with an emphasis on continuous, continuously parametered processes; mean square calculus, Markov processes, diffusion equations, Gaussian processes, and Poisson processes; response of SDOF, MDOF, and continuous linear and nonlinear models to random excitation; upcrossings, first passage problems, fatigue and stability the considerations; Monte Carlo simulation, analysis of digital time series data, and filtered excitation models. Cross-listed as CE 7750. Prerequisite: Background in probability theory and vibration analysis.
Credits: 3
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AM 7290 - Selected Topics in Applied Mechanics
Subject matter varies from year to year depending on students’ interest and needs. Typical topics may include geophysics, astrodynamics, water waves, or nonlinear methods. Prerequisite: instructor permission.
Credits: 3
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AM 7320 - Fracture Mechanics of Engineering Materials
Develops the tools necessary for fatigue and fracture control in structural materials. Continuum fracture mechanics principles are presented. Fracture modes are discussed from the interdisciplinary perspectives of continuum mechanics and microscopic plastic deformation/fracture mechanisms. Cleavage, ductile fracture, fatigue, and environmental cracking are included, with emphasis on micromechanical modeling. Cross-listed as MSE 7320. Prerequisite: MSE 7310 or instructor permission.
Credits: 3
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AM 7670 - Micromechanics of Heterogeneous Media
Analyzes averaging principles, equivalent homogeneity, effective moduli, bounding principles, self-consistent schemes, composite spheres, concentric cylinders, three phase model, repeating cell models, inelastic and nonlinear effects, thermal effects, isotropic and anisotropic media, strength and fracture. Cross-listed as APMA 7670 and CE 7707. Prerequisite: AM 6020.
Credits: 3
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AM 7993 - I ndependent Study in Applied Mechanics
Detailed study of graduate course material on an independent basis under the guidance of a faculty member. Pre-requisite: Instructor Permission
Credits: 1 to 12
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AM 8220 - Biomechanics
Topics include the rheological properties of biological tissues and fluids, with emphasis on methods of measurement and data organization; basic principles of continuum mechanics and their application to mechanical problems of the heart, lung, and peripheral circulation; criteria for selecting either lumped or continuous models to simulate mechanical interaction of biological systems (and mechanical prostheses) and application of such models under static and dynamic loading conditions. Cross-listed as BIOM 822. Prerequisite: Instructor permission.
Credits: 3
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AM 8987 - Graduate Teaching Instruction in Applied Mechanics
For master’s students.
Credits: 1 to 12
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AM 8995 - Supervised Project Research in Applied Mechanics
Formal record of student commitment to project research for Master of Engineering degree under the guidance of a faculty advisor. May be repeated as necessary.
Credits: 1 to 12
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AM 9897 - Graduate Teaching Instruction in Applied Mechanics
For doctoral students.
Credits: 1 to 12
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