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2.8 Fractals and Computer Art
2.8.1 Mira’s Model
2.8.2 Hénon’s Model
2.9 Generation of Special Functions from Their Recursion
Relations*

3. Elementary Functions and Some of Their Uses
3.1 Function Files
3.2 Examples with Affine Functions
3.3 Examples with Quadratic Functions
3.4 Examples with Polynomial Functions
3.5 Examples with Trigonometric Functions
3.6 Examples with the Logarithmic Function
3.6.1 Ideal Coaxial Capacitor
3.6.2 The Decibel Scale
3.6.3 Entropy
3.7 Examples with the Exponential Function
3.8 Examples with the Hyperbolic Functions and Their
Inverses
3.8.1 Capacitance of Two Parallel Wires
3.9 Commonly Used Signal Processing Functions
3.10 Animation of a Moving Rectangular Pulse
3.11 MATLAB Commands Review

4. Numerical Differentiation, Integration, and Solutions of
Ordinary Differential Equations
4.1 Limits of Indeterminate Forms
4.2 Derivative of a Function
4.3 Infinite Sums
4.4 Numerical Integration
4.5 A Better Numerical Differentiator
4.6 A Better Numerical Integrator: Simpson’s Rule
4.7 Numerical Solutions of Ordinary Differential Equations
4.7.1 First-Order Iterator
4.7.2 Higher-Order Iterators: The Runge-Kutta
Method*
4.7.3 MATLAB ODE Solvers
4.8 MATLAB Commands Review

5. Root Solving and Optimization Methods
5.1 Finding the Real Roots of a Function
5.1.1 Graphical Method
5.1.2 Numerical Methods
5.1.3 MATLAB fsolve and fzero Built-in Functions
5.2 Roots of a Polynomial

© 2001 by CRC Press LLC