1. Solution of Linear Equations
Introduction, Cramer's Rule, Implementation in C, Gauss Elimination Method, Implementation in C, Gauss-Jordan Elimination Method, Implementation in C/C++, Gauss Seidel Iterative Method, Implementation in C/C++, Matrix Inversion by Gauss Elimination, Implementation in C, Review Questions.
2. Solution of Non-Linear Equations
Introduction, Types of Non-Linear Equation, Interval Bisection Method, Implementation in C, Secant Method, Implementation in C, Regula Falsi Method, Implementation in C, Newton-Raphson Method, Implementation in C, Review Questions.
3. Curve Fitting Methods
Introduction, Method of Least Squares, Fitting a Straight Line, Fitting a Parabola, Implementation of Least-Square Method for Curve Fitting Using C, Review Questions.
4. Solution of Differential Equations
Introduction, Types of Differential Equation, Ordinary Differential Equation, Picard's Method, Euler's Method, Euler's Modified Method, Runge-Kutta Fourth Order Method, Milne's Predictor Corrector Method, Partial Differential Equation, Laplace Equation, Parabolic Equations (Heat Equations), Hyperbolic Equations (Wave Equations), Review Questions.
5. Stochastic Processes
Introduction, Stochastic Process, Classification of a Random Processes, Description of a Random Process, Analytical Description, Joint Distribution Function, Characteristics of a Random Process, Mean of a Random Process, Autocorrelation of the Random Process, Autocovariance of the Random Process, Correlation Coefficient of the Random Process, Stationary Process, First Order Stationary Process, Second Order Stationary Process, n-order and Strict Sense Stationary, Strict Sense Stationary Process (SSS), Wide sense Stationary Process, Properties of Autocorrelation Function, Properties of Cross Correlation Function, Review Questions.
6. Stochastic Processes in Frequency Domain
Introduction, Gaussian Random Processes, White Noise, Band Limited White Noise, Narrowband Random Processes, Transmission of Random Processes Through Linear Systems, Types of System, Impulse Response, Response to an Arbitrary Input, Frequency Response, Mean and Autocorrelation of the Output, Power Spectral Density, Power Spectral Density (PSD), Cross Power Spectral Density, Review Questions.
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