All sections refer to James Stewart, Calculus: Early Transcendentals, 7th Edition.
| Date | Material | Sections |
| 01/20 | Brief overview. Distance, conic sections, polar coordinates. | §10.3, 10.5, 10.6, 12.1 |
| 01/22 | Coordinate systems in R3. Vectors in R2, R3, Rn. | §12.1, 12.2, pp. 1027-1028, 1033-1034 |
| 01/27 | Dot product. | §12.3 |
| 01/29 | Cross product. | §12.4 |
| 02/03 | Equations for lines and planes. | §12.5 |
| 02/05 | More on lines and planes in space. | §12.5 |
| 02/10 | Quadric surfaces. | §12.6 |
| 02/12 | Review. | |
| 02/17 | Midterm 1. | |
| 02/19 | Parametric curves. | §10.1, 10.2, 10.3, 13.1, 13.2 |
| 02/24 | Derivatives and integrals of parametric curves. Arc length. | §13.2, 13.3 |
| 02/26 | Curvature. | §13.3 |
| 03/03 | Velocity, acceleration. | §13.4 |
| 03/05 | Review of continuity and limits in one dimension. | §2.2, 2.4, 2.5 |
| 03/10 | Continuity and limits of functions of several variables. | §14.1, 14.2 |
| 03/12 | More on limits and continuity. | §14.1, 14.2 |
| Spring break 03/16 – 03/20 | ||
| 03/24 | Partial derivatives. | §14.3 |
| 03/26 | Tangent planes and linear approximation. | §14.4, |
| 03/31 | The chain rule. | §14.5 |
| 04/02 | Review. | |
| 04/07 | Midterm 2. | |
| 04/09 | Directional derivatives. More linear approximation. Gradient. | §14.6 |
| 04/14 | Critical points and maximization. | §14.7 |
| 04/16 | More maximization: regions with boundary. | §14.7 |
| 04/21 | Lagrange multipliers. | §14.8 |
| 04/23 | More Lagrange multipliers. | §14.8 |
| 04/28 | Complex Numbers | Appendix H |
| 04/30 | Review | |
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