Topics: Magnetic Properties of Solids, magnetism, magnetic dipoles, Magnetic Moments, magnetic materials, Magnetic Field Vectors, Lanthanide Elements, Magnetic Materials, Metal, Alloy, Diamagnetic material, Paramagnetic material, ferromagnetism, Antiferromagnetism, Ferrimagnetism, Demagnetization hysteresis loop, magnetization hysteresis loop

Topics: engineering mechanics, resolution of forces, moments, parallel forces, couples, equilibrium of forces, center of gravity, centroid, moment of inertia, friction, static friction, limiting friction, lifting machines, support reactions, loading, concentrated load, point load, beams, loads, string, virtual work, linear motion, velocity, acceleration, relative velocity, projectiles, simple harmonic motion, laws of motion, helical springs, pendulums, elastic bodies, rotating masses, work, power, energy, hydrostatics

Topics: statics, Newtonian mechanics, force systems, force, couples, coplanar force systems, coplanar equilibrium analysis, equilibrium, Three-dimensional equilibrium, free-body diagrams, independent equilibrium equations, beams, cables, dry friction, ropes, flat belt, disk friction, rolling resistance, centroids, distributed loads, moments, Mohr's circle, virtual work, potential energy, virtual displacements

Topics: measure theory, independence, integral, moments, laws of large numbers, convergence theorem, Lp-Spaces, Radon–Nikodym Theorem, Conditional Expectations, martingale, optional sampling theorem, Martingale Convergence Theorem, Backwards Martingale, exchangeability, De Finetti's theorem, convergence of measures, Characteristic Function, Central Limit Theorem, Infinitely Divisible Distribution, markov chains, Electrical Network, Ergodic Theory, Brownian motion, iterated logarithm, large deviations, Poisson point process, Itô Integral, Stochastic Differential Equations

Topics: Probability, Random Variables, Probability Distributions, Moments, Generating Functions, Multiple Random Variables, Degenerate Distribution, Two-Point Distribution, Uniform Distribution on n Points, Sample Statistics, Random Sampling, Basic Asymptotics, Large Sample Theory, Parametric Point Estimation, Neyman–Pearson Theory, Hypotheses Testing, Confidence Estimation, General Linear Hypothesis, Nonparametric Statistical Inference

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit

Topics: probability, random variables, distribution function, expectation, moments, chebyshev inequality, Jensen inequality, univariate distribution, discrete distribution, continuous distribution, comments, joint distribution function, conditional distribution, stochastic independence, covariance, correlation, distribution of function, sampling, sampling distribution, sample mean, order statistics, parametric point estimation, point estimators, sufficiency, unbiased estimation, location invariance, scale invariance, Bayes estimator, vector of parameters, parametric interval estimation, confidence interval, test of hypothesis, loss function, Chi-square test, linear model, Nonparametric method, tolerance limit

Topics: Tension, Compression, Shear, Axially Loaded Members, torsion, Shear Forces, Bending Moments, stress analysis, strain analysis, plane stress, Deflections of Beams, Statically Indeterminate Beams, columns, materials

Topics: Tension, Compression, Shear, Axially Loaded Members, torsion, Shear Forces, Bending Moments, stress analysis, strain analysis, plane stress, Deflections of Beams, Statically Indeterminate Beams, column, materials

Topics: Applied Mechanics, force, force systems, free body diagrams, resultant force, moments, Varignon’s Theorem, centre of gravity, centroid, Moment of Inertia, friction, Screw Friction, rectilinear motion, Velocity-Time Graphs, Displacement-Time Graphs, laws of motion, impulse, D’alembert’s Principle, work, power, energy, simple machine, Weston’s Differential Pulley Block, circular motion, Centrifugal force, Centripetal Force, curvilinear motion, stress, strain, Hooke's law, tensile test, Strain Hardening, Poisson’s Ratio