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: Cell, plasma membrane, Golgi complex, Mitochondria, Chloroplasts, vacuole, Prokaryotic cells, Eukaryotic cells, plant kingdom, virus, algae, fungi, pteridophytes, angiosperm, root system, root modification, Assimilatory roots, stem, Dichotomous Branching, leaf, flower, leaf venation, fruit, seed

Topics: Numerical Methods, mathematical modeling, MATLAB, mathematical operations, structured programming, errors, roundoff errors, truncation errors, total numerical errors, blunders, model errors, data uncertainty, roots, graphical methods, bracketing methods, bisection, roots, Simple Fixed-Point Iteration, Newton-Raphson, secant methods, Brent's method, MATLAB functions, optimization, linear systems, linear algebraic equations, matrices, Gauss elimination, Naive gauss elimination, tridiagonal systems, LU factorization, matrix inverse, system condition, error analysis, iterative methods, linear systems, nonlinear systems, Eugen values, power method, curve fitting, linear regression, random numbers, linear least-squares regression, polynomial regression, multiple linear regression, QR factorization, nonlinear regression, Fourier analysis, Continuous Fourier series, frequency domain, time domain, Fourier integral, Fourier transform, Discrete Fourier transform, power spectrum, polynomial interpolation, Newton interpolating polynomial, Lagrange interpolating polynomial, inverse interpolation, extrapolation, oscillations, splines, linear splines, quadratic splines, cubic spline, multidimensional interpolation, integration, differentiation, Numerical integration formulas, Newton-Cotes formulas, Trapezoidal rule, Simpson's rules, initial value problem, Runge-Kutta methods, adaptive Runge-Kutta methods, stiff systems, Boundary-value problems, shooting method, finite-difference methods, MATLAB function

Topics: numerical analysis, number system, interpolation, Fixed-Point Iteration, Polynomial Equations, Real Roots, Complex Roots, Müller’s Method, Triangular Factorization, Determinants, Eigenvalue Problem, Backward-Error Analysis, determinants, Unconstrained Optimization, approximation, data fitting, Orthogonal Polynomials, Fast Fourier Transforms, Piecewise-Polynomial Approximation, differentiation, integration, numerical differentiation, numerical integration, Romberg Integration, Simple Difference Equations, Boundary Value Problems

Topics: Real Numbers, Real Line, absolute value, indices, surds, Rationalization, logarithm, matices, matrix algebra, e Moivre’s theorem, complex numbers, Conjugate complex number, Argand Diagram, Roots of Complex Numbers, Roots of Unity, set theory, Binary Operations

Topics: Complex analysis, Complex Numbers, Argand Diagram, Roots of Complex Numbers, Roots of Unity

Topics: Econometrics, matrix algebra, probability, random variables, probability distributions, normal probability distribution, classical statistical inference, interval estimation, simple regression, least squares method, stochastic regressors, regression fallacy, multiple regression, heteroskedasticity, autocorrelation, Durbin-Watson test, multicollinearity, dropping variables, dummy variable, truncated variables, simultaneous equations models, diagnostic checking, model selection, specification testing, time-series analysis, vector autoregressions, unit roots, cointegration, unit root

Topics: Morphology, word, word structure, lexeme, grammatical word, morphemes, morphs, allomorphs, grammatical conditioning, lexical conditioning, suppletion, roots, affixes, stems, bases, morphological Haplology, morphological typology, productivity, lexical morphology, lexical phonology, morphology model, lexical strata, lexical rules, stratum ordering, stratum productivity, stratum conversion, strict cycle condition, templatic morphology, phonological prelude, autosegmental phonology, skeletal tier, Root morphology, pattern morphology, arabic Binyanim, prosodic morphology, non-concatenative morphology, morpheme tier hypothesis, reduplication, optimality theory, stratal optimality theory, inflectional morphology, inflection, derivation, verbal inflectional categories

Topics: head, neck, brain, head anatomy, neck anatomy, head Osteology, neck Osteology, Scalp, Temple, Face, Cervical Spinal Column, Parotid Region, Submandibular Region, Infratemporal Fossa, Temporomandibular Joint, Pterygopalatine Fossa, Thyroid and Parathyroid Glands, Trachea, Esophagus, Paravertebral Regions, Root of the Neck, nose, paranasal air sinuses, ear, orbit, eyeball, Vertebral Canal, cranial cavity, cranial nerves, brainstem, Cerebellum, Fourth Ventricle, Diencephalon, Third Ventricle, cerebrum, basal nuclei, limbic system

Topics: Plant form, plant functions, flowering plant, root stem, rhizome, bulb, sucker, leaf, phyllotaxy, Argemone mexicana, Mexican poppy, Yucca gloriosa, dagger plant, Inflorescence, flower, racemose, cymose, Racemose Inflorescence, fruit, Corymb