Topics: fluid statics, fluid dynamics, bernoulli equation, fluid kinematics, finite control volume analysis, dimensional analysis, similitude, modeling, flow over immersed bodies, viscous flow in pipes, open-channel flow, compressible flow, turbomachines

Topics: Numerical Analysis, errors, algebraic equations, transcendental equations, finite differences, interpolation, central difference interpolation formulae, inverse interpolation, numerical differentiation, numerical integration, curve fitting, Eigen values, Eigen vectors, Regression analysis

Topics: Conduction, nodal analysis, finite difference method, heat transfer

Topics: Machine Arithmetic, Real Numbers, Machine Numbers, Rounding, Condition Numbers, Approximation, Interpolation, Least Squares Approximation, Polynomial Interpolation, Spline Functions, Numerical Differentiation, Numerical Integration, Nonlinear Equations, Iteration, Convergence, Efficiency, Method of False Position, Secant Method, Newton’s Method, Fixed Point Iteration, Algebraic Equations, Systems of Nonlinear Equations, Initial Value Problems for ODE, One-Step Methods, Numerical Methods, Euler’s Method, Taylor Expansion, Runge–Kutta Method, Error Monitoring, Step Control, Stiff Problems, Multistep Methods, Adams–Bashforth Method, Adams–Moulton Method, Predictor–Corrector Method, Two-Point Boundary Value Problems for ODEs, Initial Value Technique, Finite Difference Methods, Variational 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: mathematical programming, linear programming, simplex method, dual simplex method, duality analysis, sensitivity analysis, integer programming, branch-and-round algorithm, cut algorithm, transportation algorithm, scheduling methods, nonlinear programming, single-variable optimization, multivarible optimization, network analysis, project planning, inventory models, forecasting, game theory, decision theory, dynamic programming, finite markov chains, markovian birth-death processes, queuing systems

Topics: Computation, languages, Mathematical Tools, Regular Expressions, Nondeterminism, Kleene’s Theorem, Context-Free Languages, Finite Automata, Pushdown Automata, Non-Context-Free Languages, Undecidable Problems, Decision Problems Involving Turing Machines, turing machines, computable functions, Recursively Enumerable Languages, Computational Complexity

Topics: population, stationary population model, recurrence equations, population projection, projection matrix, life tables, continous analysis, renewal equation, laplace transform, demographic variables, population time series, interpolation, graduation, finite approximation, population explosion, marriage model, probability models, life table functions, fertility functions, birth process, death process, sex ratio, population distribution, individual behavior, branching theory, population model, mathematical demography, future population, life table

Topics: Probability, distributions, Estimation, hypothesis testing, random variation, randomized block design, Latin square designs, factorial treatment structure, Linear regression, Variance homogeneity, linear relationships, Linear models, non-Linear models, analysis of proportions, experimental measurements, experimental measurements analysis, Sampling finite populations, Experimental Biology, Agricultural Statistical Methods

Topics: English Syntax, Grammaticality, Adjectives, adjective phrases, Adverbs, adverb phrases, Adverbial clause, clause, clause structure, clefts, complement clause, Non-finite clause, Preposition, prepositional phrase, Relative clause, sentence, verb, verb phrase, word classes