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Calculus AB	Calculus BC
Prepared by Earl Mitchelle & Patricia Morris

Calculus BC	04	03	02	01	00	99	98	97	96	95
Functions and Graphs
Domain and Range					X		X			X
Odd & Even
Intercepts

Calculus BC	04	03	02	01	00	99	98	97	96	95
Limits and Continuity
Finite Limits				X
Limits At Infinity Infinite Limits					X		X	X	X
Definition of Continuity

Calculus BC	04	03	02	01	00	99	98	97	96	95
Differential Calculus
Definition of the Derivative
Analyze a Function Given as a Table of Values				X
Tangent/Normal Line Equations		X		X	X	X		X	X
Derivatives of Composite Functions (Chain Rule)				X			X
Increasing & Decreasing Functions		X	X	X		X	X	X
Critical Numbers			X	X	X	X	X	X
Concavity		X	X	X		X				X
Inflection Points		X				X		X	X	X
Average Rate of Change & Instantaneous Rate of Change	X		X			X		X	X
Extreme Values			X	X		X	X	X
Higher Order Derivatives								X
Optimization Problems: Maximum & Minimum Values, Relative & Absolute			X			X			X	X
Curve Sketching using Information from a Table of Values of f(x), f'(x), f''(x), or from a Graph of f'(x)			X	X		X		X
Mean Value Theorem For Derivatives						X
Implicit Differentiation	X				X
Linear Approximation				X		X
Related Rates		X								X

Calculus BC	04	03	02	01	00	99	98	97	96	95
Integral Calculus
Area and/or Interpretation	X	X	X		X	X	X	X		X
Riemann Sums Using Left, Right, & Midpoint Evaluation Points						X
Properties of Integrals		X	X			X				X
Trapezoidal Rule				X					X
Fundamental Theorems		X	X			X	X	X		X
Mean (Average) Value	X		X	X		X	X		X
Volumes of Solids: Disks & Washers	X	X	X		X	X	X		X	X
Volumes with Known Cross-Sections		X			X			X
Rectilinear Motion: Equations for Position, Velocity, & Acceleration; Direction Of Motion; Total Distance					X
Rectilinear Motion: Analysis from a Graph				X	X
Definite Integral as an Accumulator	X	X	X		X	X	X		X
Work*									X

Calculus BC	04	03	02	01	00	99	98	97	96	95
Calculator
Draw a Graph in a Given Window							X	X	X	X
Find the Intersection Points of Two Graphs		X			X			X		X
Evaluate A Definite Integral		X	X		X	X	X	X	X
Evaluate A Derivative	X		X	X		X

Calculus BC	04	03	02	01	00	99	98	97	96	95
Methods of Integration
Integration by Parts
Integration by Partial Fractions
Improper Integrals				X					X

Calculus BC	04	03	02	01	00	99	98	97	96	95
Sequences and Series
Tests for Convergence					X		X		X
Geometric Series				X
Alternating Series & Error Approximation		X			X
p-Series
Manipulation of Power Series	X	X	X	X			X	X	X	X
Power Series: Radius of Convergence					X		X
Power Series: Interval of Convergence			X	X
Maclaurin Series		X	X				X		X
Taylor Series	X		X		X	X	X	X		X
Lagrange Error Bound	X					X
Derivatives of Vector & Parametrically Defined Functions	X	X	X	X	X	X	X	X		X
Tangent Lines to Parametrically Defined Curves	X	X		X	X
Arc Length, Including Parametrically Defined Curves								X		X
Velocity & Acceleration Vectors for Motion on a Curve	X		X		X	X	X	X
Polar Coordinate Graphs		X
Area & Polar Curves		X

Calculus BC	04	03	02	01	00	99	98	97	96	95
Differential Equations
Solving Differential Equations by Separation of Variables		X		X	X		X	X
Logistic Differential Equations	X
Slope Fields			X		X		X
Euler's Method			X	X		X	X