iBerry

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

theory & application of atomistic computer simulations, predict properties of real materials, energy models from classical potentials, first-principles approaches, density functional theory & total-energy pseudopotential method, errors & accuracy of quantitative predictions, free energy & phase transitions, fluctuations & transport properties, coarse-graining approaches & mesoscale models, case studies from industrial applications of advanced materials to nanotechnology: readings, labs, course download

numerical methods, initial-value problems, network flows and optimization: Readings, Projects, Study Materials, Course download

holistic view of aircraft as a system, covering (basic systems engineering, cost and weight estimation, basic aircraft performance. safety and reliability, lifecycle topics, aircraft subsystems, risk analysis and management, system realization), analysis covering (key design drivers and decisions, aircraft attributes and subsystems, operational experience): readings, projects, related resources, course download

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