Topics: Dynamics, Rigid bodies, Radius of gyration, angular momentum, parallel axis theorem, perpendicular axis theorem, Torque, work, energy, power, rigid body

Topics: existence theorem, uniqueness theorem, Lyapunov equation

Topics: Hamilton principle, Lagrange equation, Geodesic problem, Dobis-Raymond equation, corner condition, variable end point theorem, variational integral transform, Laplace transform, Fourier Transform, Baned transform, complex variable method, Convolution theorem

Topics: Real fluid, ideal fluid, differentiation, velocity potential, stoke stream function, Bernoulli equation, Kinetic energy source, limiting streamline, image, rigid plane, kelvin theorem, flow pass circular cylinder, Joukowski hypothesis, Kutta-Joukowski theorem

Topics: Global Economy, global trade, International Economics, Factor Model, Gains from Trade, Gain from Exchange, Ricardian Framework, Heckscher-Ohlin Model, Stolper-Samuelson Theorem, Rybczynski Theorem, Specific Factors Model

Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform

Topics: Applied Statistics, Probability, collecting engineering data, sample spaces, event, counting techniques, conditional probability, Baye's theorem, Random variables, discrete random variables, probability distributions, probability mass functions, cumulative distribution functions, Discrete Uniform Distribution, binomial distribution, Hypergeometric Distribution, Poisson Distribution, probability density functions, continuous uniform distribution, Normal distribution, Erlang distributions, Weibull distribution, Lognormal distribution, joint probability distributions, covariance, correlation, probability plots, descriptive statistics, point estimation, statistical inference, multiple linear regression, multiple linear regression model, simple linear regression, analysis of variance

Topics: sets, roster form, set builder notation, set equality, null set, subsets, comparability. theorem, universal set, power set, disjoint sets, Venn-Euler diagrams, set operations, complement, comparable sets operation, principle of duality, finite sets, cardinality, inclusion-exclusion principle

Topics: Electricity, magnetism, Electromagnetic interaction, electrostatic force, electric charge, Coulomb’s law, Electric potential, potential difference, electron volt, electric dipole, dipole moment, electric flux, Gauss Theorem, capacitors, dielectrics, current electricity, electric current, Ohm’s Law, Electrical Resistance, Resistivity, Electrical Conductivity, Ohmic Conductors, Superconductors, Electric Cell, resistor combination, Electric energy, electric power, wattmeter, electrolysis

Topics: Statistics, measures of variation, bivariate data, probability, Bayes theorem, Probability distributions, random variables, binomial distribution, normal distribution, inference, regression analysis, simple linear regression analysis, Multiple Linear Regression, analysis of variance, ANOVA, nonparametric inference