\section{Numerical Methods}\label{numerical-methods}

Engineering

\subsection{What is a numerical
method?}\label{what-is-a-numerical-method}

Numerical methods are techniques that transform mathematical problems
into forms that can be solved using arithmetic and logical operations.
Because digital computers excel at these computations, numerical methods
are often referred to as computer mathematics.

\subsection{Numerical Differentiation}\label{numerical-differentiation}

Forwards difference Backwards difference

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\subsection{Roots and Optimization}\label{roots-and-optimization}

Incremental Search Bisection Modified Secant Newton-Raphson

\subsection{Numerical Integration}\label{numerical-integration}

Trapezoidal

Simpson's Rule

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\subsection{Numerical Solutions of Ordinary Differential
Equations}\label{numerical-solutions-of-ordinary-differential-equations}

Euler's Method - Forward - Backwards

Runge-Kutta Method

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