Chapter 1: Review of Needed Topics

1.1 Graphing with Coordinates in the Plane

1.2 Slope and Line Equations

1.3 Functions and Graphs

1.4 Trigonometry Review

1.5 Absolute Value

Chapter 2: Limits and Continuity

2.1 Limits

2.2 Limits at Infinity

2.3 A Trigonometric Limit

2.4 Continuous Functions

2.5 Formal Definition of Limits

Chapter 3: Derivatives

3.1 Tangent Lines and The Derivative

3.2 Rules of Differentiation

3.3 Rates of Change

3.4 Derivatives of Trigonometric Functions

3.5 The Chain Rule

3.6 Implicit Differentiation

Michele Williams, Saint Michael's College, mx_williams@smcvax.smcvt.edu, also williams@npac.syr.edu

T. J. Willis, twillis@npac.syr.edu

Ed Bogucz, bogucz@npac.syr.edu