Limits, Derivatives, and Integrals


This chapter introduces calculus, one of the foremost branches of mathematics. Limits are evaluated and used to define the two major concepts in calculus, differentiation and integration. Differentiation involves finding the slope of a curve at any point and integration involves finding the area between a curve and an interval on the x-axis. Until this chapter, students have solved problems in which variables, such as speed, had an unchanging value. Calculus allows students to model problems with variables whose values vary. Working with limits, the concept of infinity, and instantaneous rates of change through the study of calculus will extend the students’ understanding and appreciation of God’s creation from a biblical worldview.

Activity List