What is taught in Calc BC

Test Preparation AP Test Preparation
1

<p>I was wondering what else I would need to know for the Calc BC exam. This is what I will know before the exam (took exactly from the pace guide) and was wondering what else I would need to know.</p>

<p>Preview of Calculus; Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits; Infinite Limits
Derivative and Tangent Line Problem; Basic Differentiation Rules
Rates of Change; Product and Quotient Rules
Higher Order Derivatives; Chain Rule
Chain Rule; Implicit Differentiation
Implicit Differentiation; Related Rates
Extrema on and Interval; Rolle’s Theorem and Mean Value Theorem
Increasing and Decreasing Functions; First Derivative Test
Concavity and the Second Derivative Test
Limits at Infinity; Summary of Curve Sketching
Optimization
Newton’s Method
Differentials
Antiderivatives and Indefinite Integration; Area
Area; Reimann Sums and Definite Integrals
Definite Integrals; Fundamental Theorem of Calculus
Integration by Substitution
Numerical Integration
Natural Logarithmic Function: Differentiation and Integration
Inverse Functions; Exponential Functions: Differentiation and Integration
Exponential Functions; Bases other than e
Applications; Differentiation of Inverse Trig Functions
Inverse Trigonometric Functions: Differentiation and Integration
Hyperbolic Functions
Introduction; Area between curves
Volume-Disk and Washer Method
Volume-Shell Method
Arc Length; Surface Area
Work
Center of Mass, Centroids
Fluid Pressure; Fluid Force
Techniques of Integration; Integration by Parts
Integration by Parts; Trig Integrals
Trig Integrals and Trig Substitution
Trig Substitution; Partial Fractions
Partial Fractions; Integral Tables
Indeterminate Forms and L’Hopital’s Rule; Improper Integrals
Sequences
Series and Convergence
Integral Test and p-Series
Comparisons of Series; Alternating Series
Alternating Series; Ratio and Root Tests
Taylor Polynomial and Approximations; Power Series
Power Series; Functions represented by Power Series
Taylor and Maclaurin Series
Conic Sections
Plane Curves and Parametric Equations
Calculus with Parametric Curves
Polar Coordinates and Graphs
Area and Arc Length in Polar Coordinates
Polar Equations for Conic Sections & Kepler’s Laws</p>

2

<p><a href="http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0708.pdf%5B/url%5D"&gt;http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap-cd-calc-0708.pdf&lt;/a&gt;&lt;/p>

<p>Look in there.</p>

3

<p>A brief glance at the list looks like its fairly complete... if you know everything, you have a VERY high chance of getting a 5</p>

<p>Calc BC = Calc AB + some small easy topics + infinte series</p>

<p>some small easy topics = partial fractions + improper integrals + parametrics + polars + trig substitutions + some other stuff</p>