# Calculus Notecard Checklist

You should have the following concepts organized with definitions and/or examples.

Keep in mind, the words "Show", "Verify", or "Prove" mean you must state the definition.

 Chapter 1 Chapter 2 Chapter 3 Chapter 4 Chapter 5 Chapter 6 Chapter 7 Chapter 8
 Chapter 1 Chapter 2 How to Evaluate a Limit ... 5 ways Properties of Limits Definition of a Limit at x = c Odd/Even Functions ... graphically & algebraically When Limits Fail ... 3 ways Inverse Functions ... graphically & algebraically Limits You Should Know Definition of a Vertical Asymptote End Behavior Models
 Definition of a Horizontal Asymptote Finding Horizontal Asymptotes Definition of Continuity at x = c Types of Discontinuities Intermediate Value Theorem Definition of Average Rate of Change Definition of Instantaneous Rate of Change Chapter 3 Chapter 4 Definition of a Derivative ... 3 ways Where to find Extrema Where does a derivative NOT exist Slope Fields Power Rule Product Rule Quotient Rule Velocity vs. Speed Relationships between Position, Velocity, and Acceleration Differentials Related Rates Optimization Derivative of an Inverse Function at a Point (p, q) Logarithmic Differentiation Chapter 5 Chapter 6 Integration by Parts (LIPET) ... no longer in AB Special Cases of LIPET ... no longer in AB Integral of (TRIG)^2 functions Chapter 7 Chapter 8 Total Distance implies L'Hopitals Rule Displacement implies Rate of Growth Area between curves ... dx ... dy Improper Integral Volume of a Solid with known Perpendicular Cross Sections Disc Method Washer Method Shell Method