Chapter 9: Pre-Calculus Review

Before taking calculus, you worked with special series, namely geometric and arithmetic. In this chapter, other infinite series will be introduced and defined. Although seemingly unrelated, Chapters 10 and 12 will tie infinite series to functions with which you are very familiar, such as $y = \cos(x)$.

All of the calculus you have studied so far has relied on functions in rectangular form (based on the $xy$-coordinate plane). With functions in rectangular form, you now can find the slope at any point (if it exists) and can calculate the area under the curve. However, calculus can be applied to other forms of equations as well. This chapter is devoted to introducing these other forms of equations: polar, parametric, and vector.