This presentation introduces numerical methods and their applications. Numerical methods use numerical approximations to solve mathematical problems. They are used in various fields like engineering, scientific computing, weather forecasting, estimating ocean currents, modeling airplanes, solving heat equations, and crime detection. The document provides examples of how numerical methods are applied to structural analysis, hydrological forecasting, transportation modeling, integrating and solving differential equations, root finding, numerical optimization, modeling ocean circulation, simulating aircraft wings, and predicting crime patterns.