Preview of Calculus

The first 5 chapters present the two key ideas of calculus, show "easy" ways to calculate derivatives and integrals, and examine some of their applications. And there is more. In later chapters, new functions will be examined and ways to calculate their derivatives and integrals will be found. The approximation ideas will be extended to use "easy" functions, such as polynomials, to approximate the values of "hard" functions such as $sin(x)$ and $e^x$ . And the notions of "tangent lines" and "areas" will be extended to 3–dimensional space as "tangent planes" and "volumes".