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Cross-listing of new course numbers
MAE 6020 - CONTINUUM MECHANICS WITH APPLICATIONS
Introduction to continuum mechanics and mechanics of deformable solids. Topics include Vectors and cartesian tensors, stress, strain, deformation, equations of motion, constitutive laws, introduction to elasticity, thermal elasticity, viscoelasticity, plasticity, and fluids.
MAE 6100 - THERMOMECHANICS
Review of classical thermodynamics; introduction to kinetic theory; quantum mechanical analysis of atomic and molecular structure; statistical mechanical evaluation of thermodynamic properties; chemical thermodynamics and equilibria. (Prerequisite: Graduate standing)
MAE 6110 - HEAT AND MASS TRANSPORT PHENOMENA
Fundamentals of conduction and convection heat transfer. Steady, unsteady and multidimensional heat conduction. Phase change problems with moving boundaries. Derivation and application of conservation equations for heat convection in laminar and turbulent flows. Applications to free and confined flows. Heat convection at high speeds. Natural convection, condensation and evaporation. (Prerequisite: Undergraduate fluid mechanics or instructor permission)
MAE 6210 - ANALYTICAL DYNAMICS
The topics covered are: Newtonian mechanics: Newton's laws, energy, work, conservation principles; Reference frames: transformations, Euler angles, kinematics; Rotational motion: rigid bodies, inertia tensors; constraints and generalized coordinates; other equations of motion: Kane's equations, Lagrange's equations, Gibbs-Appell equations; Variational principles. (Prerequisite: Undergraduate physics, ordinary differential equations)
MAE 6230 - VIBRATIONS
Topics include free and forced vibrations of undamped and damped single- and multi-degree-of-freedom systems; modal analyses; continuous systems; matrix formulations; finite element equations; direct integration methods; and eigenvalue solution methods. (Prerequisite: Instructor permission)
MAE 6250 - MULTI-BODY MECHANICAL SYSTEMS
Analytical and computational treatment for modeling and simulation of three-dimensional multibody mechanical systems. Provide a systematic and consistent basis for analyzing the interactions between motion constraints, kinematics, static, dynamic, and control behavior of multibody mechanical systems. Applications to machinery, robotic devices and mobile robots, biomechanical models for gait analysis and human motions, and motion control. Matrix modeling procedures with symbolic and numerical computational tools will be utilized for demonstrating the methods developed in this course. Focus on the current research and computational tools and examine a broad spectrum of physical systems where multibody behavior is fundamental to their design and control. (Prerequisite: Engineering degree and familiarity with a programming language.)
MAE 6310 - FLUID MECHANICS I
The topics covered are: dimensional analysis; physical properties of fluids; kinematic descriptions of flow; streamlines, path lines, and streak lines; stream functions and vorticity; hydrostatics and thermodynamics; Euler and Bernoulli equations; irrotational potential flow; exact solutions to the Navier-Stokes equation; effects of viscosity - high and low Reynolds numbers; waves in incompressible flow; hydrodynamic stability. (Prerequisite: Continuum Mechanics and Engineering Mathematics)
MAE 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, and Stokes theorem, and various applications. Partial differential equations that govern physical phenomena in science and engineering. Solution of partial differential equations by separation by variables, superposition, Fourier series, variation of parameter, d'Alembert's solution. Eigenfunction expansion techniques for non-homogeneous initial-value, boundary-value problems. Particular focus on various physical applications of the heat equation, the potential (Laplace) equation, and the wave equations in rectangular, cylindrical, and spherical coordinates. (Prerequisite: Graduate standing)
MAE 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. (Prerequisite: Graduate standing and APMA 641 or equivalent)
MAE 6430 - STATISTICS FOR ENGINEERS AND SCIENTISTS
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 or instructor permission)
MAE 6610 - LINEAR AUTOMATIC CONTROL SYSTEMS
Studies the dynamics of linear, closed-loop systems; mechanical, electrical, hydraulic, and other servo systems. Analysis of transfer functions; stability theory. Considers compensation methods. (Prerequisite: Instructor permission)
MAE 6620 - MECHANICAL DESIGN ANALYSIS
Topics include the design analysis of machine elements subject to complex loads and environments; emphasis on modern materials and computer analysis; theory of elasticity, energy methods; failure theories, fracture, fatigue, creep; contact, residual, and thermal stresses; experimental stress analysis; and corrosion. (Prerequisite: Undergraduate mechanical design or instructor permission)
MAE 6710 - FINITE ELEMENT ANALYSIS
The topics covered are: review of vectors, matrices, and numerical solution techniques; discrete systems; variational formulation and approximation for continuous systems; linear finite element method in solid mechanics; formulation of isoparametric finite elements; finite element method for field problems, heat transfer, and fluid dynamics. (Prerequisite: MAE 602, Continuum Mechanics, or equivalent)
MAE 6720 - COMPUTATIONAL FLUID DYNAMICS I
Includes 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 geometrics, primitive variable and vorticity-steam function algorithms for incompressible, multidimensional flows. Extensive use of personal computers/workstations including interactive graphics. (Prerequisite: Fluid Mechanics I or instructor permission)
MAE 6592 - SPECIAL TOPICS: CREATIVITY AND NEW PRODUCT DEVELOPMENT
Course objectives: To develop the skills for successfully creating and developing a new product through a hands-on approach to creativity and the development process. To provide an overview of the basic process for new product development in a competitive marketplace by simulating the process in class. Expected result: Filing of Disclosure Document or Provisional Patent with the U.S. Patent and Trademark Office on an idea developed in the class. Format: Students will work in teams to design a new product, assess its feasibility and market potential, build a prototype, develop a business plan and submit a provisional patent application.
MAE 6592 - SPECIAL TOPICS: ENERGY SYSTEMS ANALYSIS
This course will build upon the foundation of physics and thermodynamics courses and develop further understanding of the conversion of energy into desired forms by technology, with emphasis on energy-related issues in American society and an appreciation of the economics of these systems. The course will include thermodynamics of reactive and non-reactive, multicomponent systems; energy cycles; thermodynamic analysis of energy conversion systems; energy courses and utilization, traditional and non-traditional combustion fuels, and alternative energy forms.
10/8/09
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