Civil and Environmental Engineering 2219A/B Study Guide - Midterm Guide: Solution Process, Euler Method, Truncation Error

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Def: the formulation/equation that expresses the features of a physical system in mathematical terms. Mathematical models are represented by a functional relationship b/w dependent variables, independent variables and forcing functions. One way of solving mathematical models is through numerical methods. Def: techniques of formulating mathematical problems to be solved with arithmetic and logical operators. Conservation laws provide the foundation for many model functions. Different fields of engineering use these differently, but everyone uses them. There are two ways that we format these models when solving. The slides went through illustrations models of these two kinds. Generally, we can create these mathematical models of the general form of: Dependent variable = f(independent variables, parameters, forcing functions) Parameters a characteristic that usually reflects the behavior or state of the system dimensions, such as time and space, along which the system"s behavior is being determined constants which are reflective of the system"s properties or composition. Forcing functions external influences acting upon the system.

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