Chapter 
Title 
Parts covered in
course 
12 
Vectors and the Geometry of Space 
all parts 
13 
VectorValued Functions and Motion in Space 
13.113.3, so omit curvature, torsion and planetary motion 
14 
Partial Derivatives 
all parts except 14.8 "Lagrange Multipliers" and 14.9 "Partial Derivatives with Constrained Variables" and omit differentials 
15 
Multiple Integrals 
all parts except 15.7 "Substitutions in Multiple Integrals" 
16 
Integration in Vector Fields 
all parts 
Chapter 
Title 
Parts covered in
course 
6 
Applications of
Definite Integrals 
only 6.3 "Lengths of Plane Curves" and 6.4 "Moments and Centers of Mass" 
10 
Conic Sections and
Polar Coordinates 
only 10.1 "Conic Sections and Quadratic Equations", 10.5 "Polar Coordinates", 10.6 "Graphing in Polar Coordinates" and 10.7 "Areas and Lengths in Polar Coordinates" 
Chapter 
Title 
Parts covered in
course 
11 
Fourier Analysis 
11.1 "Fourier Series", 11.2 "Arbitrary Period, Even and Odd Functions, HalfRange Expansions"

12 
Partial Differential Equations 
12.1 "Basic Concepts of PDEs", 12.2 "Modeling: Vibrating String, Wave Equation", 12.3 "Solution by Separating Variables, Use of Fourier Series", 12.6 "Heat Equation: Solution by Fourier Series, Steady TwoDimensional Heat Problems, Dirichlet Problem" 