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 Tools, Equation, Inequalities, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Applied Differential Calculus, Sets, Set Operations, Probability Theory, Correlation Theory, Forecasting, Time-Series Analysis, Index Numbers, Inventory Control, Decision Analysis, Network Planning, Network Analysis, Arithmetic Progression, Geometric Progression, Interest Rate, Depreciation, Present Values, Investment Analysis, Statistics, Sampling Techniques, Marketing

Topics: Economic Planning, Input-Output technique, Input-Output Analysis, Input–Output model, Social accounting matrix, General equilibrium, computable general equilibrium models, Linear Programming Technique, Cost-benefit analysis

Topics: Business Decisions, Decision Making, Mathematical Tools, Equation, Inequalities, Simultaneous Equations, Linear Functions, Linear Inequalities, Matrix Algebra, Applied Differential Calculus, Statistical Tools, Correlation Theory, Forecasting, Time-Series Analysis, Index Numbers, Inventory Control, Decision Analysis, Network Planning, network analysis, Arithmetic Progression, Geometric Progression, Interest Rate, Depreciation, Present Values, Investment Analysis

Topics: Quantitative Methods, Real Number System, Fraction, Ratio, Proportion, Percentages, Lowest Common Multiples, Factorisation, Highest Common Factors, Indices, Logarithms, Surds, Equations, Formulae, Linear Equations, Linear Simultaneous Equations, Quadratic Equations, Simultaneous Equations, Linear Equations, Quadratic Equations, Set Theory, set, Set Notations, Sets Operation, Venn Diagrams, Arithmetic Progression, Geometric Progression, Sequence, Series, Polynomial, Binomial Theorem, Partial Fractions, Binomial Expansions, Factorials, Permutation, Combination, Matrix Operations, Matrices

Topics: Economic analysis.LOGIc, SET THEORY, ALGEBRA, SOLVING EQUATIONS, FUNCTIONS OF ONE VARIABLE, PROPERTIES OF FUNCTIONS, DIFFERENTIATION, SINGLE-VARIABLE OPTIMIZATION, INTEGRATION, FINANCIAL MATHEMATICS, COMPARATIVE STATICS, MULTIVARIABLE OPTIMIZATION, CONSTRAINED OPTIMIZATION, MATRIX, VECTOR ALGEBRA, DETERMINANTS, INVERSE MATRICES, LINEAR PROGRAMMING

Topics: statistics, econometrics, Descriptive Statistics, Frequency Distributions, Measures of Central Tendency, Measures of Dispersion, Probability, Probability Distributions, Discrete Probability Distributions, Binomial Distribution, Poisson Distribution, Continuous Probability Distributions, The Normal Distribution, Statistical Inference, Estimation, Sampling, Sampling Distribution, Statistical Inference, Testing Hypothesis, Analysis of Variance, Chi-Square Test, Nonparametric Testing, Simple Regression Analysis, Two-Variable Linear Model, Ordinary Least-Squares Method, Ordinary Least-Squares Estimators, Multiple Regression Analysis, Three-Variable Linear Model, Coefficient of Multiple Determination, Partial-Correlation Coefficients, Matrix Notation, Functional Form, Regression Analysis, Dummy Variables, Distributed Lag Models, Forecasting, Binary Choice Models, Multicollinearity, Heteroscedasticity, Autocorrelation, Simultaneous-Equations Methods, Time-Series Methods, ARMA

Topics: Business Mathematics, symbolic login, matrices, determinants, vectors, complex numbers, straight lines, circle, sequence, series, limits differentiation, maximum points, minimum points, linear programming, matrix, vector addition, vector subtraction, position vectors

Topics: First Followers of Jesus, Jewish matrix, Hebrew Scriptures, Interpreting Scripture, Apostles, Evangelists, Women among Jesus’ Followers, Ignatius of Antioch, Didache, Marcion, Justin, Irenaeus of Lyon, New Testament Text, Montanism, Tertullian, Minucius Felix, Clement of Alexandria, Julius Africanus, Hippolytus and Liturgy, Origen, Cyprian of Carthage, Dionysius of Alexandria, Paul of Samosata, Mani, Plotinus, Porphyry, Diocletian, Great Persecution, Council of Nicaea, Athanasius, Marcellus, Athanasius’ Return, Constantius’ Double Council of Unity, Julian, Damasus, Siricius, Papal Authority, Synesius of Cyrene, Basil of Caesarea, Ambrose, Cappadocia, Ambrosiaster, Donatism, Monks, Ascetic Life, Messalians, Macarian Homilies, Jerome, Rufinus, Julian of Eclanum, John Chrysostom, Augustine, Christological Debate, Ancient Oriental Churches, Aftermath of the Council of Chalcedon, Pope Gregory the Great, Worship after Constantine, Pilgrims, penance

Topics: Logic, abstract thinking, Permutation, Combination, Binomial Theorem, Algebraic Expressions, matrix, determinant