1. Understanding the powers of x, sine and cosine --

2. Introduction to combinations of functions -- Arithmetic combinations of functions -- The functions tangent and secant -- Composite functions -- Trigonometric polynomials --

3. Understanding the concepts of limits and continuity -- The slope of a tangent line -- The informal definitions of limits and continuity --

4. Working with limits -- Infinite limits -- The precise definition of an infinite limit -- Limits at infinity -- The precise definitions -- The limit of a sequence --

Index.