| Chapter |
Title |
Parts covered in
course |
| 12 |
Vectors and the Geometry of Space |
all parts |
| 13 |
Vector-Valued Functions and Motion in Space |
13.1-13.3, 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" |