iBerry

detailed technical and historical exploration of the Apollo project to "fly humans to the moon and return them safely to earth", How the systems worked, the technical and social processes that produced them, mission operations, and historical significance: readings, related resources (Apollo Lunar Landing Audio/Video Clips)

science basis for bioengineering with particular emphasis on molecular cell biology and systems biology: Video interviews of a selection of bioengineering faculty from various School of Engineering Departments at MIT

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

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

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