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: Econometrics, General Linear Model, Misspecification Analysis, Errors in Variables, Systems of Simultaneous Equations, Time Series Modeling, Forecasting, Accuracy, Evaluation, Discrete Choice Models, Logit Analysis, Probit Analysis, Multivariate Density, Distribution Functions

Topics: computer science, logic, sets, loops, recursion, Program Correctness, Loop invariant, Hoare’s Axiom, Discrete Probability, Randomized Algorithms, lists, graphs, Cryptography, Mathematical induction

Topics: Business Statistics, data collection, sampling methods, probability, discrete probability distribution, continous probability distributions, sampling distributions, estimation, hypothesis testing, hypothesis tests, analysis of variance, Chi-square applications, nonparametric methods, regression, simple linear regression, correlation, multiple regression, multiple correlation, model building, time series, forecasting, decision theory, total quality management

Topics: Digital Signal Processing, common filters, digital control systems, Digital-to-analog conversion, Analog-to-digital conversion, Adaptive digital systems, adaptation algorithms, median filter, artificial neural netowrks, fuzzy logic, Discrete Fourier transform, fast Fourier transform, spectral analysis, modulation, Kalman filter, data compression, source coding, Recognition techniques, channel coding, Error-correcting codes, Digital signal processors, Programming digital signal processors

Topics: digital image processing, Continuous Image Mathematical Characterization, Continuous Image Characterization, light perception, eye physiology, visual phenomena, monochrome vision model, Photometry, Colorimetry, color matching, color spaces, image sampling, image reconstruction, Monochrome Image Sampling Systems, Monochrome Image Reconstruction Systems, Color Image Sampling Systems, image measurement, Discrete Image Mathematical Characterization, Vector-Space Image Representation, Generalized Two-Dimensional Linear Operator, Image Statistical Characterization, Image Probability Density Models, Linear Operator Statistical Representation, Finite-Area Superposition, Finite-Area Convolution, Sampled Image Superposition, Sampled Image Convolution, Circulant Superposition, circulant Convolution, General Unitary Transforms, Fourier transform, cosine transform, sine transform, Hartley transform, Hadamard Transforms, Haar Transforms, Daubechies Transforms, Karhunen–Loeve Transform, wavelet transforms, Linear Processing Techniques, Transform Domain Processing, Transform Domain Superposition, Fast Fourier Transform Convolution, Fourier Transform Filtering, image improvement, Image Enhancement, Contrast Manipulation, Histogram Modification, noise cleaning, Edge Crispening, Color Image Enhancement, Multispectral Image Enhancement, image restoration, image restoration models, Continuous Image Spatial Filtering Restoration, Pseudoinverse Spatial Image Restoration, Statistical Estimation Spatial Image Restoration, Multi-Plane Image Restoration, Geometrical Image Modification, Morphological Image Processing, binary image, Edge Detection, Image Feature Extraction, Image Segmentation, shape analysis, Image Detection, image Registration, Point Processing Image Compression, image compression, video compression, Spatial Processing Image Compression

Topics: information theory, data compression, Elementary Probability, Discrete memoryless channels, channels, channel capacity, coding theory, Lossless Data Compression, data compression, Arithmetic Coding, higher-order modeling, Higher-order arithmetic coding, Gallager’s method, Knuth’s algorithm, Dictionary Methods, Transform Methods, Image Compression

Topics: Image Compression, Data Compression, Compression Performance, Source Coding Algorithms, Run-length Coding, Huffman Coding, Arithmetic Coding, Binary Arithmetic Coding, Ziv-Lempel Coding, Still Image Compression Standard, Discrete Wavelet Transform, wavelet transforms

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