3: Nonlinear Equations
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- 3.00: Physical Problems for Nonlinear Equations
- Examples of engineering problems that require the solution of nonlinear equations.
- 3.01: Prerequisites to Numerical Methods for Solving Nonlinear Equations
- Review of how to solve quadratic equations.
- 3.03: Bisection Methods for Solving a Nonlinear Equation
- How to use the bisection algorithm to find roots of a nonlinear equation. Discussion of the benefits and drawbacks of this method for solving nonlinear equations.
- 3.04: Newton-Raphson Method for Solving a Nonlinear Equation
- The Newton-Raphson method of solving nonlinear equations. Includes both graphical and Taylor series derivations of the equation, demonstration of its applications, and discussions of its advantages and drawbacks.