This is a list of suggested problems from the sections in Stewart
we will cover. Your instructor may or may not choose to use these
problems for graded assignments. These problems are provided as an
additional resource to help to prepare for exams.
| Section | Topic | Recommended Homework |
| 12.1 | Three-dimensional coordinate systems | 3, 7, 11, 13, 17, 23, 31 |
| 12.2 | Vectors | 3, 11, 15, 19, 24, 31, 37 |
| 12.3 | The dot product | 5, 7, 9, 17, 19, 23, 27, 37, 39, 43, 51, 52 |
| 12.4 | The cross product | 1, 3, 11, 15, 29, 33, 39, 45 |
| 12.5 | Equations of lines and planes | 2, 3, 4, 5, 7, 11, 12, 13, 19, 25, 27, 31, 35, 39, 45, 55, 69, 71 |
| 12.6 | Cylinders and quadric surfaces | 3, 5, 11, 21-28, 41, 43 |
| 10.1 | Curves defined by parametric equations | 1, 7, 21 |
| 13.1 | Vector functions and space curves | 7, 11, 15, 19-24, 35 |
| 13.2 | Derivatives and integrals of vector functions | 3, 5, 9, 11, 19, 25, 33, 37, 49 |
| 13.3 | Arc length (omit curvature) | 1 |
| 13.4 | Motion in space: velocity and acceleration | 3, 5, 9, 11, 15, 19, 23 |
| 14.1 | Functions of several variables | 11, 23, 25, 29, 37, 39, 55, 56 |
| 14.2 | Limits and continuity | 7, 9, 27, 33 |
| 14.3 | Partial derivatives | 3, 5, 15, 17, 19, 21, 35, 37, 41, 47, 49, 81 |
| 14.4 | Tangent planes and linear approximations | 1, 3, 5, 17, 19, 25, 29 |
| 14.5 | The chain rule | 1, 5, 11, 13, 15, 17, 21, 27, 39 |
| 14.6 | Directional derivatives and the gradient vector | 1, 5, 7, 11, 13, 21, 23, 39, 53, 59 |
| 14.7 | Maximum and minimum values | 5, 7, 11, 29, 31 |
| 14.8 | Lagrange multipliers | 3, 5, 7, 19 |
| 15.1 | Double integrals over rectangles | 1, 5, 11 |
| 15.2 | Iterated integrals | 3, 5, 7, 11, 13, 15, 21, 23, 27, 35 |
| 15.3 | Double integrals over general regions | 1, 3, 5, 7, 13, 19, 21, 23, 39, 43, 45 |
| 10.3 | Polar coordinates (omit tangents) | 1, 3, 5, 7, 9, 15, 29, 31, 39 |
| 15.4 | Double integrals in polar coordinates | 7, 11, 19, 21, 29, 31 |
| 15.5 | Applications of double integrals | 3, 5 |
| 16.1 | Vector fields | 1, 3, 5, 11-18, 21, 25 |
| 16.2 | Line integrals | 1, 3, 7, 11, 17, 19, 23 |
| 16.3 | The fundamental theorem for line integrals | 3, 5, 7, 11, 13, 21, 23 |
| 16.4 | Green's theorem | 1, 3, 9, 11, 13, 19 |