iBerry

vector calculus, Maxwell's equations, energy & momentum, magnetic monopoles. linear media, plane waves scalar and vector potentials, radiation from generalised localised source, scattering, special relativity, charge-current density four-vector, fields from static source & moving charged particle, Lagrangian & Hamiltonian for charged particle, discussion of modern fields (standard model, duality, gravity, m-theory)

mechanical vibrations & waves, coupled oscillators, electro-magnetic radiation, musical instruments, red sunsets, glories, coronae, rainbows, haloes, X-ray binaries, neutron stars, black holes, big-bang cosmology
 

Mathematica exercises, examples, exams, handouts, lecture notes (introduction, concepts from classical mechanics, Schrödinger equation, bound states of square well, infinite well, scattering from potential steps & square barriers, etc., harmonic oscillator, formalism underlying QM, the measurement process, ladder operators, time dependent wave functions, 3D Schrödinger equation)

animations which visualize certain concepts concerning acoustics and vibration: Airborne Sound Waves and Sources, Vibration and Structural Waves, Other Wave Phenomena (not acoustics, but still waves)

Transverse Waves - particle displacement is perpendicular to the direction of wave propagation. The animation shows a one-dimensional transverse plane wave propagating from left to right. The particles do not move along with the wave; they simply oscillate up and down about their individual equilibrium positions as the wave passes by. Animation courtesy of Dr. Dan Russell, Kettering University.

Quantisation of fields Euler-Lagrange equations, Tree-level diagrams, Hamiltonian perturbation theory, Path integrals, Perturbative expansion, scattering matrix, Cross sections, Decay rates, Dirac equation, Plane wave solutions, Dirac Hamiltonian Path integrals for fermions, Feynman rules for vector fields, Quantum Electrodynamics, QED Non-Abelian gauge theories, Higgs mechanism, Gauge fixing and ghosts, Standard Mode, Loop corrections and renormalisation

2D momentum, transformer, photonic devices, spectra, Newton's laws, waves, hydrogen, weight, refraction, cornering, standing waves, gravity, hydrogen, quantum theory, 2D standing waves, nucleus, electrostatics, radiation, mass & energy, magnetism, polarization, emissions, diffraction, blackbody radiation, quark, induction, photo-electric, AC generator, X-rays, decay, Lenz's law, Compton effect, relativity

instructional materials on quantum physics, each set of teaching-learning materials integrates interactive visualizations with inexpensive materials and written documents in an activity-based environment: software, publications

Remedial (Dimensional Analysis, Graphing Oscillating Fns, Trigonometry, Graphing Simple Fns, Log Paper, Logarithms, Algebra, Vectors, Unit Conversions, Significant digits), Tutorials (Torque and Rotational Motion, DC Circuits, Free-Body Diagrams, Exponential Growth & Decay, Simple Harmonic Motion), Biophysics Tutor

distance, open sets, parametric surfaces & smooth functions, smooth manifolds & scalar fields, tangent vectors & space, contravariant & covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, geodesics & local inertial frames, Riemann curvature tensor, comoving frames & proper time, stress & stress-energy tensor, basic premises of general relativity, Einstein field equations, Schwarzschild metric & event horizons, white dwarfs, neutron stars, black holes