iBerry

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

nuclear links & downloads, reference info: nuclear reactor analysis, engineering physics (nuclear, computer systems, optics and solid state laboratories, power plant systems & operation, reactor safety design, reactor heat transport system design, reactor heat transport system simulation & analysis, Fourier transforms), introduction to statistical mechanics & thermodynamics

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, Course download

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

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: course download, readings