All sections refer to James Stewart, Calculus: Early Transcendentals, 7th Edition.
| Date | Material | Sections |
| 01/21 | Brief overview. Distance, conic sections, polar coordinates. | §10.3, 10.5, 10.6, 12.1 |
| 01/26 | Coordinate systems in R3. Vectors in R2, R3, Rn. | §12.1, 12.2, pp. 1027-1028, 1033-1034 |
| 01/28 | Dot product. | §12.3 |
| 02/02 | Cross product. | §12.4 |
| 02/04 | Equations for lines and planes. | §12.5 |
| 02/09 | More on lines and planes in space. | §12.5 |
| 02/11 | Quadric surfaces. | §12.6 |
| 02/16 | Review. | |
| 02/18 | Midterm 1. | |
| 02/23 | Parametric curves. | §10.1, 10.2, 10.3, 13.1, 13.2 |
| 02/25 | Derivatives and integrals of parametric curves. Arc length. | §13.2, 13.3 |
| 03/02 | Curvature. | §13.3 |
| 03/04 | Velocity, acceleration. | §13.4 |
| 03/09 | Review of continuity and limits in one dimension. | §2.2, 2.4, 2.5 |
| 03/11 | Continuity and limits of functions of several variables. | §14.1, 14.2 |
| Spring break 03/16 – 03/20 | ||
| 03/23 | More on limits and continuity. | §14.1, 14.2 |
| 03/25 | Partial derivatives. | §14.3 |
| 03/30 | Tangent planes and linear approximation. | §14.4, |
| 04/01 | The chain rule. | §14.5 |
| 04/06 | Review. | |
| 04/08 | Midterm 2. | |
| 04/13 | Directional derivatives. More linear approximation. Gradient. | §14.6 |
| 04/15 | Critical points and maximization. | §14.7 |
| 04/20 | More maximization: regions with boundary. | §14.7 |
| 04/22 | Lagrange multipliers. | §14.8 |
| 04/27 | More Lagrange multipliers. | §14.8 |
| 04/29 | Complex Numbers | Appendix H |
| 05/04 | Review | |