Topics: statistics, single-variable data, bivariate data, probability, probability distributions, discrete variables, normal probability distributions, sample variability, statistical inference, Chi-square, analysis of variance, linear correlation, regression analysis, nonparametric statistics, data collection, measurability, variability, measure of central tendency, linear correlation, linear regression, random variables, Binomial probability distribution, normal probability distributions, notation, sampling distributions, inferential statistics, Chi-square statistic, ANOVA, linear correlation analysis, linear regression analysis

Topics: Advanced engineering mathematics, numerical solution, Newton-Raphson iterative method, numerical methods, linear interpolation, graphical interpolation, Lagrange interpolation, Laplace transform, convolution theorem, periodic functions, Z transform, difference equations, Invariant linear systems, Differential equations, Fourier series, harmonics, Dirichlet conditions, Gibbs’ phenomenon, Complex Fourier series, complex spectra, Fourier’s integral theorem, Leibnitz-Maclaurin method, power series, Cauchy-Euler equi-dimensional equations, Leibnitz theorem, Bessel’s equation, Gamma functions, Bessel functions, Legendre’s equation, Legendre polynomials, Rodrigue’s formula, Sturm-Liouville systems, Orthogonality, Taylor’s series, First-order differential equations, Euler's method, Runge-Kutta method, Matrix algebra, Matrix transformation, Eigenvalues, direction fields, phase plane analysis, nonlinear systems, dynamical systems, Bifurcation, partial differentiation, Elliptic equations, Hyperbolic equations, Parabolic equations, multiple integration, Green’s theorem, integral functions, error function, elliptic functions, vector analysis, Curvilinear coordinates, complex analysis, complex mapping, Maclaurin series, optimization, linear programming, Linear inequalities

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: Project evaluation, capital investments, capital budgeting, decision making, project analysis, strategy, resource allocation, portfolio strategy, business level strategies, strategic planning capital budgeting, corporate appraisal, market surveyor, demand analysis, marketing plan, technical analysis, product mix, plant capacity, financial estimates, cost of production, profitability projections, projected cash flow statement, projected balance sheet, multi-year projections, time value of money, investment criteria, Net present value, benefit cost ratio, profitability index, payback period, project cash flows, cash flow illustrations, cost of capital, cost of debt, cost of equity, weighted average cost of capital, weighted marginal cost of capital, flotation cost, project risk analysis, sensitivity analysis, scenario analysis, break-even analysis, Hiller model, simulation analysis, decision tree analysis, managing risk, portfolio theory, capital budgeting, optimal timing, inflation, social cost benefit analysis, income distribution impact, linear programming model, integer linear programming model, goal programming model, managerial intuition, managerial judgement, reverse financial engineering, group process, capital structure, equity capital preference capital, debentures, term loans, project financing structure, financial closure, financial institutions, venture capital, private equity, infrastructure projects, public-private partnership, corporate governance, project management, project planning, project control project risk, time estimation, PERT Model, CPM Model, network cost system, project review, abandonment analysis, agency problem

Topics: ECONOMIC THEORY, CONSUMER CHOICE, One-Variable Calculus, LINEAR FUNCTIONS, NONLINEAR FUNCTIONS, COMPUTING DERIVATIVES, Calculus, DIFFERENTIABILITY, CONTINUITY, Chain Rule, Exponents, Logarithms, LINEAR SYSTEMS, Matrix, Matrices, Euclidean Spaces, VECTORS, PLANES, Linear Independence, Limits, Open Sets, Sets, Functions, DIRECTIONAL DERIVATIVES, GRADIENTS, LINEAR CONSTRAINTS, BORDERED MATRICES, Optimization, CONDITIONS, Homogeneous Functions, Homothetic Functions

Topics: Ordinary Differential Equations, linear constant coefficient equations, initial value problem, integrating factor method, linear variable coefficient equation, Bernoulli equation, separable equation, Euler Homogenous equations, exact differential equation, exponential decay, Newton's cooling law, carbon-14 dating, nonlinear equations, second order linear equations, variable coefficients, Homogenous Constant Coefficients Equations, Euler Equidimensional Equation, Nonhomogeneous Equations, power series, Laplace transform, discontinous sources, Two-Dimensional Homogeneous Systems, Two-Dimensional Phase Portraits, Autonomous Systems, Stability, Boundary Value Problems, linear algebra, matrix algebra, Eigenvalues, Eigenvectors, Diagonalizable Matrices, Matrix Exponential, exponential function

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: Engineering Thermodynamics, Work, Heat Transfer, Thermodynamic properties, temperature, Law of Thermodynamics, Non-Flow Processes, Constant volume process, Constant pressure process, Polytropic process, Adiabatic process, Isothermal process, Flow Processes, Nonsteady-flow processes, Boiler, condenser, Throttling, Reciprocating compressor, Cycle efficiency, Reversibility, irreversibility, Exergy, Gibbs function, steady-flow system, Properties of Fluids, Vapour Power Cycles, carnot cycle, rankine cyclel, reheat cycle, regenerative cycle, economiser, air preheater, steam cycles, Gas Power Cycle, gas turbine cycle, Closed-cycle gas turbine, Intercooling, reheating, Combined gas, steam cycles, Reciprocating engine cycles, Heat Pump, Refrigeration Cycles, Reversed Carnot cycle, Practical refrigeration cycles, Water refrigerator, Absorption refrigerators, Gas cycles, Hygrometry, psychrometry

Topics: Business Mathematics, SetS, Subsets, Set Operations, Set of Numbers, Functions, Annuity, Cash Flow, Sinking Fund, Mathematical Programming, Linear Programming, Definite Integral, Indefinite Integral, Transcendental functions, Integration, Trigonometric functions, Mathematical Tools, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Probability Theory

Topics: Business Mathematics, sets, subsets, set operations, number sets, functions, annuity, cash flow, sinking fund, mathematical programming, linear programming, calculus, definite integral, indefinite integral, Transcendental functions integral, Simultaneous Equations, Linear Functions, Linear Inequalities, Probability, matrix algebra, Venn-Euler diagrams, Frequentist Probability, Relative Probability, Bayesian Probability, Subjective Probability, Axiomatic Probability, Conditional Probability, Matrix Addition, scalar application, matrix multiplication, Trigonometric Function