Topics: functions, combining functions, trigonometric functions, exponential functions, inverse functions, logarithms, limit, continuity, derivatives, differentiation rules, chain rule, implicit differentiation, inverse trigonometric functions, related rates, linearization, differentials, mean value theorem, monotonic functions, applied optimization, integrals, transcendental functions, hyperbolic functions, integration, trigonometric integrals, trigonometric substitution, numerical integration, improper integrals, infinite sequences, infinite series, integral test, comparison test, absolute convergence, power series, Taylor series, Maclurin series, parametric equations, polar coordinates, vectors, dot product, cross product, vector-valued functions, partial derivatives, saddle points, multiple integrals, vector fields, Euler equations

Topics: engineering functions, trigonometric functions, coordinate systems, discrete mathematics, sequences, series, vectors, matrix algebra, complex numbers, differentiation, integration, numerical integration, taylor polynomials, taylor series, maclaurin series, Laplace transform, z transform, Fourier series, Fourier transform, vector calculus, line integrals, multiple integrals, probability, statistics

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: Data communication, Ethernet, Routing algorithm, internet, interfacing, protocols, information codes, error correction, multiplexing, Synchronization, Modulation, Modem interconnection, data encryption, packet-switching, voice-grade circuit, data communication link

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Continuous-time signal, linear time-variant system, singularity function, Fourier series, filtering, continuous-time Fourier transform, convolution property, Multiplication property, discrete-time Fourier transform, time characterization, frequency characterization, sampling, communication system, complex exponential, sinusoidal amplitude modulation, frequency-division multiplexing, Laplace transform, Fourier transform, z-transform, linear feedback system

Topics: Engineering Mathematics, Algebra, power, logarithms, polynomials, linear equations, polynomial equations, binomials, binomial expansions, sigma notation, factorials, combinations, partial fractions, trigonometry, Trigonometric identities, Trigonometric functions, exponential functions, differentiation, Newton–Raphson iterative method, integration, complex numbers, hyperbolic functions, determinants, matrices, eigenvalues, eigenvectors, Cayley–Hamilton theorem, vector, vector representation, sequences, infinite series, curves, curve fitting, Asymptotes, Systematic curve sketching, Correlation, partial differentiation, reduction formulas, approximate integration, integration application polar coordinate systems, multiple integrals, first-order differential equations, homogenous equations, Laplace transform, probability, Conditional probability, Probability distributions, Continuous probability distributions

Topics: Statistical Inference, summarizing data, simple random sampling, population variance, normal approximation, confidence intervals, inference, Maximum Likelihood, Hypothesis Testing, Wald test, t-test, Permutation Test, Likelihood Ratio Test, Testing Mendel’s Theory, Multiple Testing, Regression Function, Regression Model, Scatter Plots, Simple Linear Regression Model, Ordinary Least Squares, Interval Estimation, Prediction, Graphic Residual Analysis

Topics: Statistical Computing, file management, data entry, Data Manipulation, sort data, Standardize data, Descriptive Statistics, Chi-square, Frequencies, Normality test, graphs icon, scatter plot, error bars, histogram, Bar Chart, Line Graph, Pie Chart, Paired-sample t-test, ANOVA, Pearson's Correlation, Spearman's Correlation, covariance, linear regression, Straight Line Fit, Curved Line Fit, Multiple Linear Regression

Topics: Research methodology, research, research methods, research process, research problem, research design, sampling design, census, sample survey, measurement, scaling techniques, scaling, scaling construction techniques, data collection, observation method, case study method, measures of central tendency, measures of dispersion, measures of asymmetry, skewness, simple regression, regression analysis, multiple correlation, regression, partial correlation, sampling, sampling distributions, central limit theorem, sampling theorem, Sandler's A-test, estimation, sample size, hypothesis, hypothesis testing, Chi-square test, Yates correction, ANOVA, analysis of variance and co-variance, ANOVA technique, analysis of Co-variance, ANOCOVA, nonparametric test, distribution free test