AP Calculus BC Vol. 1

Table of Contents 1

Part I Quick Review 2

Chapter 1 Test For Series : Step By Step 3
Concept
Step 1 :-series and Geometric Series
Step 2 : The Alternating Series Test
Step 3 : The Test for Divergence -th term test
Step 4 : The Ratio Test
Step 5 : The Root Test
Step 6 : The Limit Comparison Test
Step 7 : The Integral Test
Step 8 : The Direct Comparison Test
Summary of the Process
Exercise
Geometric Series
series test
Improper Integral
Alternating Series Test
Direct Comparison and Limit Comparison
Integral Test
Miscellaneous

Chapter 2 Absolutely and Conditionally Convergent
Exercise

Chapter 3 Power Series (1) : Radius and Interval of Convergence
Concept
Exercise
Verifying Convergence at
Finding the Radius and the Interval of Convergence

Chapter 4 Power Series (2) : Taylor and Maclaurin Series, and the New Functions from the Old
Exercise
Basic Taylor Series and Maclaurin seires
New Functions from Old Functions

Chapter 5 Error Bound and Approximation
Concept
Error bound
Approximation and Estimation
Exercise
Alternating Series Error Bound
Lagrange Error Bound
Taylor Polynomial
Approximation

Part II Practice Exam
Chapter 6 Practice Exam Section I
Chapter 7 Practice Exam Section II : Free Response Part B