Topics: mechanics, traingle of forces, couple, free body diagram, velocity, acceleration, friction, periodic motion, simple harmonic motion, periodic time, resonance, inertia, force, weight, inertia force, angular acceleration, balancing, work, energy, power, impulse, momentum, aircraft, rockets, direct stress, direct strain, shear stress, torsion, shear, shear force, bending moments, stress, strain, thermal strain, Poisson's ration, strain energy, combined bending, fluid, pressure energy, fluid in motion

Topics: Atomic Structure, Atomic Bonding, Crystal structure, Amorphous Structure, Solidification, Crystalline Imperfections, Engineering Alloys, Phase Diagrams, Polymeric Materials, ceramics, Composite Materials, corrosion, light, superconductive materials, magnetic properties, biological materials, biomaterials, smart materials, bond, cubic unit cell, diffusion, alloy, metal, stress, strain, Poisson ratio, plastic deformation, gibbs phase rule, cooling curves, copper, iron, steel, cast iron, aluminum, magnesium, titanium, nickel, thermoplastic, thermost, elastomer, rubber, glass, concrete, asphalt, wood, sandwich structures, corrosion rates, metal-matrix, ceramic-matrix, galvanic cells, microelectronics, nanoelectronics, semiconductors, light, electromagnetic spectrum, laser, luminescence, optical fibers, superconducting materials, ferromagnetic, magnetic field, ferromagnetism, tendon, ligament, articular cartilage

Topics: Number, algebra, area, volume, trignometry, graph, complex number, vector, statistics, differential calculus, integral calculus, differential equation, irregular area, Trigonometric waveforms, Cartesian co-ordinates, polar co-ordinates, compund angles, straight line graphs, De Moivre’s theorem, mean, median, mode, standard deviation, probability, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Maclaurin’s series, implicit functions, Logarithmic differentiation, Standard integration, Integration by parts, partial fraction, Numerical integration, Mean square value, root mean square value, centroid

Topics: Algebra, partial fraction, logarithm, exponential function, inequality, arithmetic progression, geometric progression, binomial series, Maclaurin's series, iterative method, binary, octal, hexadecimal, boolean algebra, logic circuits, trigonometry, circle, Trigonometric waveforms, hyperbolic functions, Trigonometric identities, Trigonometric equation, compound angles, irregular area, irregular volume, graph, complex numbers, De Moivre’s theorem, matrix, determinant, vector geometry, vector, scalar product, vector product, differentiation, calculus, integration, differential equation, parametric equations, implicit functions, Logarithmic differentiation, hyperbolic functions, Partial differentiation, Total differential, rate of change, Maxima, minima, saddle point, integral calculus, hyperbolic substitution, trignometric substitution, Integration by parts, Reduction formulae, double integrals, triple integrals, Numerical integration, Homogeneous first-order differential equation, first-order differential equation, differential calculus, Linear first-order differential equation, Numerical methods, power series, Statistics, probability, Mean, median, mode, standard deviation, binomial distribution, Poisson distribution, normal distribution, Linear correlation, Linear regression, Sampling, estimation theories, Significance testing, Chi-square test, distribution-free test, Laplace transform, Inverse Laplace transform, Heaviside function, Fourier series, periodic functions, non-periodic function, even function, odd function, half-range fourier series, harmonic analysis, Z-Transform

Topics: Strength of materials, stress, strain, Poisson's ratio, thermal expansion, shear stress, thermal stress, pressure vessels, stress concetrations, Thin-Walled Pressure Vessels, Bolted Welded Joints, Welded Joints, centroid, centroidal area, Radius of Gyration, Beam Reactions, Shear Diagrams, Moment Diagrams, Beam Deflection, beam design, Combined Stresses, Eccentric Loading, Buckling of Columns, columns, steel machine parts, Mohr's Circle

Topics: Probability, Permutations, Combinations, probability laws, conditional Probability, independence rule, Bayes rule, random variables, Chebyshev's inequality, Bernoulli distribution, Binomial Probability distribution, Negative binomial distribution, geometric distribution, Poisson distribution, hypergeometric distribution, uniform distribution, rectangular distribution, normal distribution, Joint marginal distribution, conditional distribution, Gamma distribution, Chi-square distribution

Topics: generalized linear models, Model Fitting, Exponential Family, estimation, inference, normal linear models, Binary Variables, Logistic Regression, Nominal Logistic Regression, Ordinal Logistic Regression, Poisson Regression, Log-Linear Models, Survival Analysis, Clustered data, Longitudinal Data, Bayesian Analysis, Markov Chain Monte Carlo Methods

Topics: probability models, Conditional Probability, Venn diagram, Random Variables, Discrete Distributions, Continuous Distributions, Cumulative Distribution Functions, Joint Distributions, Simulating Probability Distributions, expectation, Inequalities, Jensen’s Inequality, Sampling Distributions, Limits, Central Limit Theorem, Monte Carlo Approximations, Normal Distribution Theory, Chi-Squared Distribution, Statistical Inference, statistical model, Data Collection, Finite Populations, Simple Random Sampling, Histograms, Survey Sampling, Descriptive Statistics, Plotting Data, Likelihood Inference, Maximum Likelihood Estimation, Distribution-Free Methods, Bayesian Inference, Bayesian Computations, Optimal Inferences, Optimal Unbiased Estimation, Optimal Hypothesis Testing, quantitative response, Simple Linear Regression Model, Bayesian Simple Linear Model, Multiple Linear Regression Model, Markov Chains, Gambler’s Ruin Problem, Markov Chain Monte Carlo, Martingales, Brownian Motion, Poisson Processes

Topics: Applied mechanics, statics, mass, force, weight, couple, frameworks, friction, square-threaded screw, tribology, average speed, constant speed, velocity, free falling bodies, inertia, Variable forces, Periodic Motion, Simple harmonic motion, Car wheel balancing, Periodic time, simple pendulum, resonance, Angular acceleration, Centripetal acceleration, Centripetal force, Centrifugal force, Dynamic instability, balancing, static balance, dynamic balance, springs, energy, kinetic energy, potential energy, impulse, momentum, Impulsive forces, Inelastic collisions, aircraft, rockets, Reaction propulsion, Jet propulsion aircraft, Helicopters, Rocket propulsion, thrust, Ductile metals, metal, alloy, Shear Force, Bending Moment, Bending moment diagram, Poisson's ratio, stress, strain, Strain energy, Combined loading, Combined Bending, Direct Stress, fluid, pressure, Experimental Errors, discrepancy, error

Topics: Statistical Inquiries, data collection, sample, sampling method, Probability Sampling, Non-probability Sampling, population, measurement, parameter, variables, Descriptive Statistics, Inferential Statistics, Quantitative Data, Qualitative Data, 3.1 Frequency Distribution, Graph, box plot, 5-number summary, sigma notation, arithemetic mean, skewness, mean, median, mode, Probability, Independent Events, Mutually Exclusive Events, Contingency Tables, Probability Trees, counting permutation, Discrete Random Variables, random variable notation, binomial distribution, geometric distribution, Poisson distribution, hypothesis testing, statistical testing, linear regression, linear correlation, correlation coefficient, linear equation, regression equation, index number, research method, confidential interval, chi-square distribution, forecasting, time series