Elementary mathematical and computational tools for electrical and computer engineers using MATLAB

INTRODUCTION TO MATLAB AND ITS GRAPHICS CAPABILITIES Getting Started Basic Algebraic Operations and Functions Plotting Points M-files MATLAB Simple Programming Array Operations Curve and Surface Plotting Polar Plots Animation Histograms Printing and Saving Work in MATLAB MATLAB Commands Review DIFFERENCE EQUATIONS Simple Linear Form Amortization An Iterative Geometric Construct: The Koch Curve Solution of Linear Constant Coefficients Difference Equations Convolution-Summation of First-Order System with Constant Coefficients General First Order Linear Difference Equations Nonlinear Difference Equations Fractals and Computer Art Generation of Special Functions from their Recursion Relations ELEMENTARY FUNCTIONS AND SOME OF THEIR USES Function Files Examples with Affine Functions Examples with Quadratic Functions Examples with Polynomial Functions Examples with Trigonometric Functions Examples with the Logarithmic Function Examples with the Exponential Function Examples with Hyperbolic Functions and their Inverses Commonly Used Signal Processing Functions Animation of a Moving Rectangular Pulse MATLAB Commands Review NUMERICAL DIFFERENTIATION, INTEGRATION, AND SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS Limits of Indeterminate Forms Derivative of a Function Infinite Sums Numerical Integration A Better Numerical Differentiator A Better Numerical Integrator: Simpson's Rule Numerical Solution of ODE MATLAB Commands Review ROOT SOLVING AND OPTIMIZATION METHODS Finding the Real Roots of a Function Roots of a Polynomial Optimization Methods MATLAB Commands Review COMPLEX NUMBERS Introduction The Basics Complex Conjugation and Division Polar Form of Complex Numbers Analytical Solutions of Constant Coefficients ODE Phasors Interference and Diffraction of Electromagnetic Waves Solving ac Circuits with Phasors