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: real analysis, sets, functions, mathematical induction, finite sets, infinite sets, real numbers, absolute value, real line, intervals, sequences, series, limit theorems, monotone sequences, Cauchy criterion, limits, limit theorems, continuous functions, uniform continuity, inverse function, monotone functions, derivative, mean value theorem, L' Hospital rule, Taylor's theorem, Riemann integral, Riemann integral functions, fundamental theorem, Darboux integral, approximate integrations, pointwise convergence, uniform convergence, exponential functions, logarithmic function, trigonometric functions, infinite series, absolute convergence, infinite integrals, convergence theorems, continuous functions, metric spaces

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: Algorithms, Insertion sort, analyzing Algorithms, designing Algorithms, growth of functions, asymptotic notation, maximum-subarray problem, Strassen’s algorithm, Probabilistic Analysis, Randomized Algorithms, hiring problem, Indicator random variables, Heapsort, heaps, heapsort algorithm, Priority queues, quicksort, Radix sort, Counting sort, Bucket sort, Data Structures, Hash Tables, has function, open addressing, Perfect hashing, Data Structures, sorting order statistics, Binary Search Trees, Red-Black Trees, Augmenting Data Structures, Dynamic Programming, Greedy Algorithms, Amortized Analysis, B-Trees, Fibonacci Heaps, van Emde Boas Trees, Graph Algorithms, Minimum Spanning Trees, Single-Source Shortest Paths, All-Pairs Shortest Path, maximum flow, Multithreaded Algorithms, Matrix Operations, linear programming, polynomials, Number-Theoretic Algorithms, String Matching, Computational Geometry, NP-Completeness, Polynomial time, Approximation Algorithms

Topics: random variables, Bernoulli trial, Binomial distribution, Poisson distribution, Geometrics, Uniform distribution, normal distribution, Bivariable, marginal distribution, condition distribution, linear regression, correlation, association of attributes

Topics: Linear Regression Model, Econometrics, Least Squares Regression, Hypothesis Tests, Model Selection, Functional Form, Difference in Differences, Structural Change, Nonlinear Regression ­Models, Semiparametric Regression ­Models, Nonparametric Regression ­Models, Endogeneity, Instrumental Variable Estimation, Generalized Regression Model, Heteroscedasticity, Regression Equations, Estimation Frameworks, Estimation Methodology, Minimum Distance Estimation, Generalized Method of ­Moments, Maximum Likelihood Estimation, Simulation-Based Estimation, Inference, Random Parameter Models, Bayesian Estimation, Cross Sections, Panel Data, Microeconometrics, Binary Outcomes, Discrete Choices, Multinomial Choices, Event Counts, Limited Dependent Variables—Truncation, Censoring, Sample ­Selection, Time Series, Macroeconometrics, Serial Correlation, Nonstationary Data

Topics: Research Methodology, Research Process, research, Research Proposal, research project, Research Activity, Research Design, Data Collection, Variables, Sample Selection, Sampling Techniques, Randomness, Randomisation, Research Questions, Questionnaire Design, Hypothesis, Hypothesis testing, Z-Statistic, Non-Parametric Tools, data presentation, data analysis, research report, business research

Topics: Biostatistics, measures of central tendency, measures of variability, probability, permutations, random variables, Bernoulli Distribution, Binomial Distribution, Geometric Distribution, Hyper-geometric Distribution, Negative Binomial Distribution, Poisson Distribution, Multinomial Distribution, Uniform Distribution, Normal Distribution, Multivariate Normal Distribution, Logistic Distribution, Chi-square Distribution, Gamma Distribution, Exponential Distribution, Beta Distribution, Dirichlet Distribution, population sample, central limit theorem, degrees of freedom, parameters estimation, point estimation, maximum likelihood estimation, interval estimation, hypothesis testing, simple linear regression, simple regression model, partitioning total variability, partial correlation, rank correlation, likelihood ratio test, robust regression, curvilinear regression, polynomial regression, segmented regression, Least Significance Difference, intraclass correlation, experimental error, randomized complete block design, Partitioning Total Variability