iBerry

brings computational exploration to the widest possible audience, open-code resource that uses dynamic computation to illuminate concepts, free player runs all demos: Browse Latest, Random Selection, FAQs, Authoring area

mechanical behavior of structures and materials from the continuum description of properties to the atomistic and molecular mechanisms, elastic and plastic deformation, creep, and fracture of materials including crystalline and amorphous metals, ceramics, and (bio)polymers, design and processing of materials from the atomic to the macroscale to achieve desired mechanical behavior

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

• Electric and Magnetic Circuits - elementary electric charge, Coulomb's law, electric field and electrostatic potential, work, energy and capacitance, dielectrics, voltage, current, resistance, power, Ohm's law, DC series/parallel circuits, Kirchhoff's laws, capacitors and R-C transients, magnetic field and magnetic flux, forces on a charge and current carrying conductor, series magnetic circuits.
• Waves, Fields, and Optics - mechanical and electromagnetic wave phenomena, derivation of wave equations and wave velocities, energy and momentum carried by waves, wave reflection in terms of impedance mismatch, standing waves, radiation of electromagnetic waves, geometrical and physical optics.
  

essential theoretical foundations of modern physics:

principles and concepts of Special and General Relativity, origins of Quantum Mechanics, quantum structure of atoms, molecules, solids, applications to lasers and microelectronics, nuclear and particle physics and cosmology.

materials & processes from perspective of thermodynamics & kinetics, laws of thermodynamics, solution theory, equilibrium diagrams, diffusion, phase transformations, development of microstructure: lecture slides & summaries, study materials, course download

Newtonian Mechanics (single & many particles), Lagrangian (least action, Changing coordinate systems, Constraints & generalised coordinates, Noether's theorem & symmetries, Applications, Small oscillations & stability), Motion of Rigid Bodies (Kinematics, inertia tensor, Euler's equation, Free tops, Euler's angles, heavy symmetric top, motion of deformable bodies), Hamiltonian (equations, Liouville's theorem, Poincare recurrence, Poisson brackets, Canonical transformations, Action-angle variables, Adiabatic invariants, Hamilton-Jacobi theory, Relationship to quantum mechanics)

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