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# Engineering - Open Courseware (OCW)

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### Numerical Methods in Engineering

Portland State University (US)

root-finding, elementary numerical linear algebra, solving systems of linear equations, curve fitting, numerical quadrature and numerical solution to ordinary differential equations

### Convex Optimization

Stanford University (US)

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

### Introduction to Linear Dynamical Systems

Stanford University (US)

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 Techniques and Semidefinite Optimization

MIT (US), OpenCourseware

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

### Symmetry, Structure, and Tensor Properties of Materials

MIT (US), OpenCourseware

derivation of symmetry theory, lattices, point groups, space groups, and their properties, use of symmetry in tensor representation of crystal properties, including anisotropy and representation surfaces, applications to piezoelectricity and elasticity: readings

### Nuclear Engineering Courses

McMaster University (CA)

nuclear Courses including complete lecture notes, worked problems, lecture recordings with screen and audio capture: Nuclear Reactor Analysis, Computer Systems, Optics and Solid State Laboratories, Nuclear Power Plant Systems and Operation, Reactor Safety Design, Reactor (Heat Transport System Design, System Simulation, Analysis, Engineering Physics, Electricity, Thermophysics and Energy, Introduction to Statistical Mechanics and Thermodynamics

### Advanced Analytic Methods in Science and Engineering

MIT (US), OpenCourseWare

comprehensive treatment of the advanced methods of applied mathematics: series solutions of linear homogeneous ODE, WKB method, asymptotic expansion of integrals, boundary layer theory, small non-linear oscillations

### Introduction to Environmental Engineering

Penn State University (US)

introduction, mass & energy fundamentals, physical chemistry & principles, organic chemistry, microbiology & microbial growth, erosion control & stormwater management, water, waste, air pollution, global events

### OER Courseware Modules

Pennsylvania State University (US)

Resources available for reuse by teachers and learners worldwide; Energy and Mineral Engineering, Geography, Geosciences, Materials Science, Meteorology, Earth and Environmental Systems, Earth and Mineral Sciences Writing

### Computational Science and Engineering

MIT OpenCourseWare (US)

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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