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: real numbers, rule of algebra, limits, continuity, derivatives, differentiation formula, Taylor series, Partial derivatives, maxima, minima, Lagrange multiplier, complex numbers, ordinary differential equations, linear differential equations, operator notation, linear operators, linear dependence, Wronskians, Laplace transforms, vector analysis, vector algebra, Jacobians, Orthogonal curvilinear coordinates, Fourier series, Dirichlet conditions, orthogonal functions, Fourier integrals, Fourier transforms, Gamma function, beta function, error function, exponential integral, sine integral, cosine integral, Fresnel sine Integral, Fresnel cosine Integral, Bessel function, Legendre functions, Legendre differential equation, Hermite polynomials, Laguerre polynomial, sturm-Liouville systems, heat conduction equation, vibrating string equation, complex variables, conformal mapping, Cauchy-Riemann equations, Cauchy's theorem, Laurent's series, conformal mapping, complex inversion formula, matrices, Cramer's rule, determinants, Euler's equation, Hamilton's principle

Topics: linear programming, simplex method, duality theory, Linear Programming under Uncertainty, Algorithms for Linear Programming, Transportation and Assignment Problems, Network Optimization Models, Dynamic Programming, Integer Programming, Nonlinear Programming, Metaheuristics, Game Theory, Decision Analysis, Queueing Theory, Inventory Theory, Markov Decision Processes, Simulation

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: Econometrics, linear regression, linear regression mode, hypothesis testing, Heteroskedasticity, Autocorrelation, OLS estimator, Endogenous Regressors, Instrumental Variables, instrumental variables estimator, maximum likelihood estimation, quasi-maximum likelihood, binary choice models, Tobit models, sample selection bias, univariate time series models, multivariate time series models, panel data modelling, static linear model, vector, matrix

Topics: First Order Differential Equations, Laplace Transform, Second Order Constant Coefficient Linear Differential Equations, Linear Constant Coefficient Differential Equations, Second Order Linear Differential Equations, Discontinuous Functions, Power Series

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: 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: 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

Topics: Digital Communication, Communication Error Correction, Information Compression Error, Information Compression, Data Compression, data Coding, Huffman Coding Algorithm, Error Correction, Linear Block Codes, noise, convolutional coding, Viterbi decoding of convolutional codes, Systematic Code, Convolution Codes, Hamming Codes, Convolutional Codes, Convolutional Code Construction, Parity Equations, Shift-Register View, State-Machine View, Decoding Problem, Viterbi Decoder, Soft-Decision Decoding, Signal to Noise Ratio, linear Time-Invariant Systems, Baseband Signal, Modulation, Demodulation, Baseband Channel, Linear Time-Invariant Models, Baseband Channel Model, Signal Spectra, Discrete-Time Fourier Transform, Fourier Transform, Discrete-Time Fourier Series, Fourier Series, Channel Distortions, Binary Phase Shift Keying, Quadrature Phase Shift Keying, Quadrature Amplitude Modulation, Media Access Protocols, Shared Media Satellite communications, Satellite communications, Time Division Multiple Access, ALOHA, Carrier Sense Multiple Access, Circuit Switching, Packet Switching, Little’s Law, Network Routing, Routing, Broadcast routing, Routing Protocol, Reliable Data Transport Protocols