Topics: Signals, unit step function, unit ramp function, unit parabolic function, unit impulse function, sinusoidal signal, time shifting, signal analysis, Fourier series, wave symmetry, Fourier spectrum, Gibbs phenomenon, Continuous-time Fourier series, Fourier transform, signal transmission, convolution, time convolution, theorem, signal comparison, energy density spectrum, power density spectrum, density function, sampling, sampling theorem, Anti-Aliasing filter, data reconstruction, Laplace transforms, waveform synthesis, Z-transform, system realization, discrete-time Fourier transform

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: Statistical Inference, Applied Statistics, sampling distribution, probability distribution, Analysis of Variance, Analysis of Covariance, Multiple Regression Analysis, Estimation of multiple regressions, Partial correlation coefficient, Multiple correlation coefficient, coefficient of determination, time series, Time Series Analysis, price index

Topics: ordinary differential equations, homogenous series

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: Communication, Fourier series, Fourier transform, signal symmetry, modulation, amplitude modulation, amplitude modulation large carrier

Topics: Communication Systems Engineering, Electrical Communication System, Communication Channel, frequency domain analysis, Fourier series, Fourier transforms, Bandlimited Signals sampling, bandpass signals, analog signal transmission, modulation, amplitude modulation, Conventional Amplitude Modulation, angle modulation, radio broadcasting, television broadcasting, mobile radio systems, random processes, Gaussian Processes, White Processes, Bandlimited Processes, Bandpass Processes, Linear-Modulation Systems, information sources, source coding, source-coding theorem, Source-Coding Algorithms, Rate-Distortion Theory, quantization, Analysis-Synthesis Techniques, waveform coding, Digital Audio Transmission, Digital Audio Recording, Pulse Amplitude Modulation, Two-dimensional Signal Waveforms, Multidimensional Signal Waveforms, White Gaussian Noise, Symbol Synchronization, Bandlimited Channels, Digitally Modulated Signals, channel; capacity, channel coding, linear block code, cyclic codes, Convolutional Codes, wireless communications, Continuous Carrier-Phase Modulation, Spread-Spectrum Communication Systems, Digital Cellular Communication Systems

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: Algebra, Trigonometry, real number system, set theory, Venn diagram, sequence, series, arithmetic progression, arithmetic mean, geometric progression, partial fraction, mathematical induction, complex numbers, permutations

Topics: Organic Chemistry, homologous series, functional group, organic compounds identification, Quantitative analysis, qualitative test, freeze drying, steam distillation, Chromatography, column Chromatography, electronic theory, bonding, Lewis structures, VSEPR theory, valence bond theory, valence shell electron pair repulsion theory