 Created By Ms. Kondo

During Chapter 1 of this course, you studied the relationship between velocity and distance. This chapter will continue that focus, leading to new applications of calculus. In this chapter, you will be introduced to all three of the core concepts of calculus: limits, rates of change, and area under a curve. The approach statements you wrote in the last chapter will become important for the new concept of limit. Finally, instead of examining the end behavior of a function, as we did in the last chapter, we will begin to describe a function locally by considering instantaneous velocity and finding local linearizations of functions.
In this chapter, you will:
Approximate the area under a curve using Riemann sums and summation notation.
Predict function behavior with limits.
Use limits to define continuity and see how continuity provides the basis for the Intermediate Value Theorem.
Develop a method to approximate the velocity of an object at an instant.
Discuss the local linearity of wellbehaved functions.
This is a playlist intended to support students who are currently taking a Calculus course using the College Preparatory Mathematics (CPM) curriculum. With a license from CPM, students can access the ebook at: http://textbooks.cpm.org. More information on the CPM Educational Program and curriculum can be found at http://www.cpm.org