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.