Important Concepts to Know

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

Chapter 1	Rules for Rounding Trig Identities Transformations (Parent Functions) Odd/Even Functions ... graphically & algebraically Inverse Functions ... graphically & algebraically
Chapter 2	How to Evaluate a Limit ... 5 ways Properties of Limits Definition of a Limit at x = c When Limits Fail ... 3 ways Limits You Should Know Definition of a Horizontal Asymptote Definition of a Vertical Asymptote End Behavior End Behavior Models Slant "Oblique" 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	Definition of a Derivative ... 3 ways Definition of the existence of a derivative at x = c and at an endpoint. Where does a derivative NOT exist Slope Fields Power Rule Product Rule Quotient Rule Chain Rule Derivatives of 6 Trig Functions Relationships between Position, Velocity, and Acceleration Velocity vs. Speed Derivatives of Inverse Trig Functions Derivatives of Exponential Functions Derivatives of Logarithmic Functions Logarithmic Differentiation
Chapter 4	Where to find Extrema Mean Value Theorem Relationship of f ' to Increasing/Decreasing 1st Derivative Test for Extrema Relationship of f '' to Concavity 2nd Derivative Test for Extrema Relationship of f '' to Inflection Points Linearization Differentials Absolute vs Relative vs Percentage Change RELATED RATES OPTIMIZATION
Chapter 5	LRAM RRAM MRAM Trapezoidal Rule Riemann Sum Definition of Definite Integral Properties of Definite Integral Average Value of f(x) Relationship between Average Value of f(x) and Average Rate of Change Fundamental Theorem of Calculus Part 1 (Extended) Fundamental Theorem of Calculus Part 2 (Evaluation)
Chapter 6	Slope Fields (Revisited) Indefinite Integrals U - Substitution Integration by Parts (LIPET) Special Cases of LIPET Derivation of an exponential function Separate and Integrate Integral of TRIG functions Integral of (TRIG)^2 functions
Chapter 7	Total Distance implies Displacement implies Area between curves ... dx ... dy Volume of a Solid with known Perpendicular Cross Sections Disc Method Washer Method Shell Method
Chapter 8	L'Hopitals Rule Rate of Growth Improper Integral