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: Cell growth, cell division, Growth measurement, Growth curve, Continuous culture, Growth rate, generation time, Bacterial growth, bacterial cell, bacterial growth curve, Chemostat

Topics: Tension, compression, direct stresses, Pin-jointed frames, Pin-jointed trusses, Shearing stress, joints, connections, Bending moment, shearing force, centroid, bending stress, Built-in beam, continuous beam, Energy methods, plate differential methods, matrix algebra, finite element method, Structural vibrations

Topics: Vibration, noise, Single degree of freedom systems, Multi-degree of freedom systems, Continuous systems, Mechanical Engineering vibration, nonlinear vibration, noise control

Topics: engineering principles, engineering units, momentum transfer, overall balance, momentum transfer, steady-state heat transfer, unsteady-state heat transfer, mass transfer, molecular diffusion, unsteady-state mass transfer, convective mass transfer, evaporation, unit operations, drying, continuous gas-liquid separation process, vapor-liquid separation process, liquid-liquid separation process, fluid-solid separation process, membrane separation process, mechanical-physical, transport process

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: Criminal Law, ACTUS REUS, Non-insane automatism, Causation, Omissions, continuous act theory, MENTAL ELEMENT, MENS REA, Motive, Intention, Recklessness, Transferred malice, Strict liability, Joint enterprises, Vicarious liability, PRELIMINARY OFFENCES, INCHOATE OFFENCES, Statutory conspiracy, Common law conspiracy, Jurisdiction, Attempt, HOMICIDE, theft, Property, Appropriation

Topics: Statistics, probability Distribution, Continuous Random Variables, Probability Distributions, Hypothesis, Testing Difference, SAMPLING THEORY, population, Population Parameters, Sampling Parameters, Sampling Distribution, Estimators for Mean Variance, Frequency Distribution, Chi-Square Test, T-test, F-test, Regression Analysis, Simple Linear Regression Analysis

Topics: Mathematical Modeling, Engineering Problem Solving, Programming, Software, structured programming, Modular Programming, EXCEL, MATLAB, Mathcad, Significant Figures, accuracy, precision, error, Round-Off Errors, Truncation Errors, Taylor Series, Bracketing Methods graphical method, bisection method, False-Position Method, Simple Fixed-Point Iteration, Newton-Raphson Method, secant method, Brent’s Method, multiple roots, Roots of Polynomials, Müller’s Method, Bairstow’s Method, Roots of Equations pipe friction, Gauss Elimination, Naive Gauss Elimination, complex systems, Gauss-Jordan, LU Decomposition, Matrix Inversion, Special Matrices, Gauss-Seidel, Linear Algebraic Equations, Steady-State Analysis, One-Dimensional Unconstrained Optimization, Parabolic Interpolation, Golden-Section Search, Multidimensional Unconstrained Optimization, Constrained Optimization, linear programming, Nonlinear Constrained Optimization, Least-Squares Regression, linear regression, polynomial regression, Multiple Linear Regression, Nonlinear Regression, Linear Least Squares, interpolation, Newton’s Divided-Difference Interpolating Polynomials, Lagrange Interpolating Polynomials, Inverse Interpolation, Spline Interpolation, Multidimensional Interpolation, Fourier Approximation, Curve Fitting, Sinusoidal Functions, Continuous Fourier Series, Fourier Integral, Fourier Transform, Discrete Fourier Transform, Fast Fourier Transform, power spectrum, Newton-Cotes Integration Formulas, Trapezoidal Rule, Simpson’s Rules, multiple integrals, Newton-Cotes Algorithms, Romberg Integration, Adaptive Quadrature, Gauss Quadrature, Improper Integrals, Monte Carlo Integration, Numerical Differentiation, High-Accuracy Differentiation Formulas, Richardson Extrapolation, partial derivatives, Numerical Integration, Runge-Kutta Method, Euler’s Method, Boundary-Value Problems, Eigenvalue Problems, Finite Difference, Elliptic Equations, Laplace equation, Boundary Condition, Heat-Conduction Equation, Crank-Nicolson Method, Finite-Element Method

Topics: Mathematical Economics, ONE-VARIABLE CALCULUS, MULTIVARIATE CALCULUS, COMPARATIVE STATICS.INTEGRATION, TIME, UNCERTAINTY, CONTINUOUSTIME DYNAMICS, MATRICES, ECONOMIC THEORY, OPTIMIZATION THEORY, INEQUALITY CONSTRAINTS