Please note that is just a sample syllabus, actual syllabi for the various sections of the course will likely be different each semester. Different instructors may choose somewhat different material. The number of class sessions varies between fall and spring semesters, Monday-Wednesday and Tuesday-Thursday classes.
All section numbers refer to James Stewart, Calculus: Early Transcendentals, 9th Edition.
| Class | Material | Sections |
| 1 | Brief overview, coordinate systems. | §12.1, 10.3, 15.7, 15.8 |
| 2 | Vectors | §12.2 |
| 3 | Dot product. | §12.3 |
| 4 | Cross product. | §12.4 |
| 5 | Equations of lines and planes. | §12.5 |
| 6 | Parametric curves, conic sections. | §10.1, 10.5 |
| 7 | Cylinders and quadric surfaces. | §12.6 |
| 8 | Review. | |
| 9 | Midterm 1. | |
| 10 | Vector functions and space curves. | §13.1 |
| 11 | Integrals of vector functions. | §13.2 |
| 12 | Arc length and curvature. | §13.3 |
| 13 | Motion: velocity and acceleration. | §13.4 |
| 14 | Functions of several variables, continuity. | §14.1, 14.2 |
| 15 | Partial derivatives. | §14.3 |
| 16 | Tangent planes and linear approximations. | §14.4 |
| 17 | Review. | |
| 18 | Midterm 2. | |
| 19 | Chain rule. | §14.5 |
| 20 | Directional derivative, gradient. | §14.6 |
| 21 | Directional derivative, gradient. | §14.6 |
| 22 | Maximum and minimum. | §14.7 |
| 23 | Maximum and minimum. | §14.7 |
| 24 | Lagrange multipliers. | §14.8 |
| 25 | Complex numbers. | Appendix H |
| 26 | Review. |
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