Perspective

• Why models?

  • Modeling is widely used in science and engineerng.

  • Through models we understand the behavior of systems.

  • We use a lot of modeling in process engineering.

• We use a lot of mathematics in modeling.

• How to learn (more) mathematics.

Models Based on Balance

• System (region or control volume)

\begin{align*} &{\bf \text{rate of } (\text{amount change})} \\ & = {\bf\text{rate of }( \text{input} - \text{output}} + {\bf \text{production} - \text{consumption} )} \end{align*}