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Engineering & Technology
Open Courseware and Resources (general)- Engineering: discipline of acquiring and applying scientific and technical knowledge to the design, analysis, and/or construction of works for practical purposes
- Technology: a broad concept that deals with a species' usage and knowledge of tools and crafts and how it affects a species' ability to control and adapt to its environment
overview of medical devices, FDA regulatory issues, biocompatibility and sterilization technology, biomechanical properties (isotropy/anisotropy, stiffness, bending stresses, contact stresses, multiaxial loading, plasticity, fatigue, fracture, wear, corrosion, design issues), Orthopedics, Dental, Cardiovascular, and Soft Tissue Reconstruction
explores basic principles of chemistry & application to engineering systems, relationship between electronic structure chemical bonding & atomic order, characterization of atomic arrangements in crystalline & amorphous solids, organic chemistry, solution chemistry, acid-base equilibria, electrochemistry, biochemistry, chemical kinetics, diffusion, phase diagrams, Examples: quizzes, Study Materials, Related Resources, Readings
numerical methods, initial-value problems, network flows and optimization: Readings, Projects, Study Materials
probability & statistics with emphasis on applications, events & probability, Bayes' theorem, random variables & vectors, distributions, Bernoulli trials & Poisson point processes, full-distribution uncertainty propagation, second-moment representation, propagation, conditional analysis, random sampling, estimation, hypothesis testing, linear regression
root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, numerical quadrature and numerical solution to ordinary differential equations
recognizing & solving convex optimization problems in engineering: Convex sets, functions, optimization problems, Basics of convex analysis, Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, Optimality conditions, duality theory, theorems of alternative, applications, Interior-point methods, signal processing, control, digital & analog circuit design, computational geometry, statistics, mech engineering
applied linear algebra & dynamical systems, applications to circuits, signal processing, communications, control systems: Least-squares aproximations of over-determined equations, least-norm solutions of underdetermined equations, Symmetric matrices, matrix norm & SVD, Eigenvalues & eigenvectors, Matrix exponential, stability, asymptotic behavior, Multi-input & output, impulse & step matrices, convolution & transfer matrix, Control, reachability, state transfer, least-norm inputs, Observability & least-squares state estimation: support notes, MATLAB files
algebraic and computational techniques for optimization problems involving polynomial equations and inequalities with particular emphasis on the connections with semidefinite optimization, algebraic and numerical approaches to polynomial systems, complex and real cases, techniques of general applicability, convexity-based ideas, complexity results, efficient implementations, examples from several engineering areas, systems and control applications: Readings, Related Resources
introduction, mass & energy fundamentals, physical chemistry & principles, organic chemistry, microbiology & microbial growth, erosion control & stormwater management, water, waste, air pollution, global events
review of linear algebra, applications to networks, structures, and estimation, Lagrange multipliers, differential equations of equilibrium, Laplace's equation and potential flow, boundary-value problems, minimum principles and calculus of variations, Fourier series, discrete Fourier transform, convolution & applications
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