Lectures: Back of the envelope calculations, 2013
Dimensional Analysis
 L1: Introducing dimensional analysis

Dimensional analysis, similarity, scaling, Pythagoras' theorem,
radius of curvature, choice of units, dimensional analysis, vector spaces,
homogeneous functions, slenderness ratio, fracture, buckling, elasticity,
diastolic pressure, cardiac output, giraffe, Brachiosaurus.
[pdf, Mathematica notebook]  L2: Measurements and fundamental constants

Principle of equivalence, Coulomb's law, Gaussian units, SI units, Lorentz
force, electric field, magnetic field, BiotSavart law, Maxwell's equations,
speed of light, Joule's constant, Boltzmann's constant, Planck's constant,
black body, Planck spectrum, StefanBoltzmann constant, ultraviolet
catastrophe, Compton wavelength, Bohr radius, Rydberg's constant, Thompson
scattering, protein folding, vacuum decay, Planck mass.
[pdf, Mathematica notebook]  L3: The physics of plasmas

Plasma, electrical resistance, Ohm's law, resistivity, conductivity,
ballistic transport, collisions, Rutherford scattering, plasma
parameter, space charge, screening, Debye screening length, plasma
oscillations, Langmuir waves, plasmon, Landau damping, quantum plasmas,
diffractive scattering, relativistic plasmas, plasmas in quantum field
theory.
[pdf]  L4: Similarity and incomplete similarity

Convection, Fourier's law, Boussinesq's approximation, shear viscosity,
Joule's constant, Boltzmann's constant, Prandtl number, Rayleigh
number, RayleighBenard convection, scaling, incomplete scaling,
anomalous dimension, fractal, fractal dimension, broken scale invariance,
scaling and the renormalization group, quantum field theory, ultraviolet
divergence, broken scale invariance, renormalized coupling, renormalized
mass, renomalization group equations.
[pdf]
Statistical inference
 L5: Informal problems of inference

Cards, cheating, prior knowledge, probability, inference, Monty Hall,
Rolls Royce, Martin Gardner, AIDS testing, search engine terms, tossing
a coin, angular momentum, phase space, symmetry.
[pdf]  L6: Inference and probability

Logic, syllogism, Boolean algebra, uncertain propositions, plausibility,
information and implication, common sense, consistency, fairness, equivalence,
probability, Bayesian reasoning, jumping to conclusions, Bernoulli's urn,
randomness.
[pdf]  L7: Testing hypotheses
 Sampling distribution, prior probability, posterior probability, odds, evidence, sampling without replacement, sampling with replacement, level of significance, zombie hypotheses.
 L7: Estimation of parameters
 Bernoulli urn, sampling theory, hidden symmetry, hypergeometric distribution, fitting, frequentist result, prior dependence.
Approximation methods
Copyright: Sourendu Gupta; Last modified on 11 Dec, 2018.