Calculus 7

<p>I'm going into AP calc BC next year and I've been told that we will continue to use the Calculus 7 by Leithold that we used in Calc A. I looked around online and found "Calculus 7 of a Single Variable" that was A LOT cheaper than the Calculus 7. I got a table of contents from the seller for the single variable book:
Table of contents:
1. Functions, Limits, and Continuity
2. The Derivative and Differentiation
3. Behavior of Functions and Their Graphs, Extreme Function Values, and Approximations
4. The Definite Integral and Integration
5. Logarithmic, Exponential, Inverse Trigonometric, and Hyperbolic Functions
6. Additional Application of the Definite Integral
7. Techniques of Integration, Indeterminate Forms, and Improper Integrals
8. Polynomial Approximations, Sequences, and Infinite Series
9. Parametric Equations, Plane Curves, and Polar Graphs
Appendix: Precalculus Topics
Supplementary Sections
Formulas From Trigonometry
Formulas From Geometry
The Greek Alphabet
Answers to Odd-Numbered Exercises
Index </p>

<p>Question is.. Does anyone know if chapter 10 "vectors and planes, lines and surfaces in space", chapter 11 "vector-valued functions", chapter 12 "differential calculus of more than one variable", chapter 13 "multiple integration", and chapter 14 "introduction to the calculus of vector fields" will be covered for the AP Calc BC exam?
and does anyone know if the contents of the two books are identical up to chapter 9?</p>

<p>thanks in advance :)</p>

<p>None of those additional topics are on BC. The material through Chapter 9 is sufficient for all the material on the exam.</p>

<p>Chapter 11 may rear its head as it did in 2006, but other than that, the rest is Calculus D. The only part of 11 you may need to know is the expression of velocity and acceleration for vector-valued functions.</p>

<p>You need to know derivatives/integrals for vectors, but on the whole it is pretty similar to parametrics (in my opinion). You should look at previous FRQ that have involved vectors.</p>