Final answer:
Mathematical models are used to represent phenomena using algebraic equations and functions, and they are important for showing the effectiveness and performance of a design. Writing calculations and visualizing the model can enhance understanding, but it's also necessary to remember the limitations and simplifying assumptions inherent in mathematical modeling.
Step-by-step explanation:
The mathematical representation of a model involves the use of mathematical models, which describe a phenomenon using concepts such as equations, inequalities, functions, and distributions. When documenting the mathematical model of an operation, it's crucial to demonstrate the performance and effectiveness of the design, as well as how it fulfills the client's needs.
To ensure a thorough understanding, it is advised to write these calculations on your note pad rather than just reading about them. Additionally, it is important to periodically pause and visualize or recreate the model to solidify your comprehension.
While there are alternative ways to represent models, such as narrative or text, mathematics has the advantage of requiring precise specification and eliminating fuzzy thinking, especially when translating concepts into algebraic equations.
However, it is worth noting that mathematical models do come with limitations, such as simplifying assumptions that may not always reflect reality completely.
For the content of this book, a knowledge of basic high school algebra and the concept of what a function is will be required.