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<h2>1.2 What Is Calculus and Why do we Study it?</h2>
<p> Calculus is the study of how things change. It provides a framework for modeling systems in which there is change, and a way to deduce the predictions of such models.</p>
<p><strong>I have been around for a while, and know how things change, more or less. What can calculus add to that?</strong></p>
<p>I am sure you know lots about how things change. And you have a qualitative notion of calculus. For example the concept of speed of motion is a notion straight from calculus, though it surely existed long before calculus did and you know lots about it.</p>
<p><strong>So what does calculus add for me?</strong></p>
<p>It provides a way for us to construct relatively simple quantitative models of change, and to deduce their consequences.</p>
<p><strong>To what end?</strong></p>
<p>With this you get the ability to find the effects of changing conditions on the system being investigated. By studying these, you can learn how to control the system to do make it do what you want it to do. Calculus, by giving engineers and you the ability to model and control systems gives...

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