Topics: discrete mathematics, mathematical logic, functions, proofs, set theory, set operations, axiomatic set theory, real numbers, arithmetic, induction, recursion, summation notation, Asymptotic notation, number theory, graphs, multiplication, exponentiation, binomial coefficients, generating functions, probability theory, random variables, Markov's inequality, probability generating functions, linear algebra, abstract vector spaces, finite fields

Topics: Mathematics, quadratic equations, indices, logarithms, remainder theorem, undetermined coefficients, partial fractions, arithmetic progression, geometrical progression permutations, combinations, binomial theorem, trigonometric ratio, addition theorem, sine formula, cosine formula, tangent formula, differential calculus, differentiation, logarithmic functions, exponential functions, coordinates, coordinate geometry, parabola, ellipse, hyperbola, complex numbers, matrices

Topics: Biochemistry, amino acids, peptides, proteins, sugars, polysaccharides, glycoproteins, nucleic acids, thermodynamics, biochemical equilibria, macromolecules, lipids, membranes, cell coats, enzymes, metabolism, enzymatic activity regulation, Enzymatic addition, Enzymatic elimination, Enzymatic condensation, isomerization, coenzymes, Electron Transport, Oxidative Phosphorylation, Hydroxylation, Chemistry of Movement, Carbohydrate Metabolism Pathways, Lipid Metabolism, Polyprenyl Compounds, Isoprenoid Compounds, Aromatic Compounds metabolism, Nucleic Acid Bases, Biochemical Genetics, gene transcription, DNA Organization, DNA Replication, DNA Transposition, DNA Repair, ribosomes, Biochemical Defense Mechanisms, growth, development

Topics: Statistics, Probability, Distributions, Multivariate Distributions, statistical inference, consistency, limiting distributions, maximum likelihood methods, sufficiency, optimal test of hypotheses, nonparametric statistics, robust statistics, Bayesian statistics, conditional probability, random variables, correlation coefficient, binomial distribution, Poisson distribution, Normal distribution, Multivariate normal distribution, sampling, confidence intervals, hypothesis testing, central limit theorem, maximum likelihood estimation, sequential probability ratio test, likelihood ratio test, sample median, signed-rank Wilcoxon, Mann–Whitney–Wilcoxon Procedure, Simple Linear Model, Bayesian Procedures

Topics: Statistics, Probability, Distributions, Multivariate Distributions, statistical inference, consistency, limiting distributions, maximum likelihood methods, sufficiency, optimal test of hypotheses, nonparametric statistics, robust statistics, Bayesian statistics, conditional probability, random variables, correlation coefficient, binomial distribution, Poisson distribution, Normal distribution, Multivariate normal distribution, sampling, confidence intervals, hypothesis testing, central limit theorem, maximum likelihood estimation, sequential probability ratio test, likelihood ratio test, sample median, signed-rank Wilcoxon, Mann–Whitney–Wilcoxon Procedure, Simple Linear Model, Bayesian Procedures

Topics: problem of heat exchange, heat conduction, heat exchanger design, thermal resistance, heat transfer coefficient, heat conduction, transient heat conduction, multidimensional heat conduction, convective heat transfer, forced convection, natural convection, phase configuration, radiative heat transfer, mass transfer, convection

Topics: Random variables, sampling theory, Covariance, variance, correlation, Simple regression analysis, regression coefficients, hypothesis testing, Multiple regression analysis, Transformations of variables, Dummy variables, Heteroscedasticity, Stochastic regressors, measurement errors, Binary choice, limited dependent models, maximum likelihood estimation, Autocorrelation

Topics: Mathematical model, time response analysis, time response, test signal, impulse response, order of a system, partial fraction expansion, Response of first order system, Response of second order system, time domain specification, steady state error, static error constant, error coefficient, automatic control system, controller, time response analysis, frequency response, sinusoidal transfer function, transfer function, frequency domain, frequency response plot, Bode plot, Magnitude plot, phase plot, Nichols plot, M-circle, N-circle, Nichols chart, Bounded input Bounded output stability, root locus, Routh Hurwitz criterion, Nquist plot, open loop system, closed loop system, mechanical translational system, Laplace transform, mechanical rotational system, electrical system, analogous circuit, block diagram, signal flow graph

Topics: Chemical Engineering Processes, Material Balance, Energy Balance, temperature measurement, temperature conversion, dimensional homogeneity, dimensionless quantities, process flow sheet, process unit, process streams, mass flow rates, volumetric rates, moles, molecular weight, stream composition, mass fraction, mole fraction, concentration, pressure measurement, pressure-sensing devices, process units, degrees of freedom analysis, process flow diagram, multiunit process flow diagram, mass balance, Stoichiometric Equation, Stoichiometric Coefficients, Stoichiometric Ratio, Limiting Reactant, Excess Reactants, Combustion Reactions, Chemical Equilibrium, Multiple-Unit Process Flowcharts, Single-Phase Systems, Multiphase Systems, Ideal Gas Equation of State, liquid density, solid density, gas density, Real Gas Relationships, Compressibility Factor, Virial Equation of State, van der Waals Equation of State, Soave–Redlich–Kwong Equation of State, Kay’s Mixing Rules, phase diagram, Vapor–Liquid Equilibrium Curve, Vapor Pressure Estimation, Clapeyron Equation, Clausius–Clapeyron Equation, Cox Chart, Antoine Equation, Partial Pressure, Dalton’s Law of Partial Pressures, Gibbs’ Phase Rule, Bubble Point, Dew Point, Critical Point, Kinetic Energy, Potential Energy, energy balance, steam turbine, heaters, coolers, compressors, Mechanical Energy Balance, Enthalpy Calculations, Constant Heat Capacity, Psychrometric Chart, Heat of Reaction, Heats of Formation, Heat of Combustion, Heat of Reaction Method, Unsteady-State Material Balance, Unsteady-State Energy Balance

Topics: Mitochondria, NADH, Flavoprotein, coenzyme Q, cytochrome, iron-sulfur protein, copper protein, Q-cycle