The following is a tentative syllabus for the course. This page will be updated irregularly. On the other hand, the weekly syllabus contained in the Homework assignments page will always be accurate.
| Lectures | Sections in Text | Brief Description |
|---|---|---|
| 12 Sep (M) | 4.1-4.5 | Review of Math 3: Riemann sums and the Fundamental Theorem of Calculus |
| 14 Sep (W) | 11.11 | Taylor polynomials |
| 16 Sep (F) | 11.11 | Remainder estimates |
| 19 Sep (M) | 11.2 | Infinite series; geometric series |
| 21 Sep (W) | 11.8 | Power series; ratio test and radius of convergence |
| 23 Sep (F) | 11.9 | Functions as power series (incl. differentiation and integration) |
| 26 Sep (M) | 11.10 | Taylor and Maclaurin series, I |
| 28 Sep (W) | 11.10 | Taylor and Maclaurin series, II |
| 30 Sep (F) | TBD | Applications |
| 3 Oct (M) | TBD | Applications |
| 5 Oct (W) | 11 | Review |
| 6 Oct (Th) | Exam 1 | |
| 7 Oct (F) | 12.1-12.2 | Coordinates in R^n as a vector space; distance forrmula; simple surfaces |
| 10 Oct (M) | 12.3 | Dot products and projections, I |
| 12 Oct (W) | 12.3 | Dot products and projections, II |
| 14 Oct (F) | 12.4 | Cross products and geometry; relation to volume/area |
| 17 Oct (M) | 12.5 | Lines in different forms; planes in vector and standard forms |
| 19 Oct (W) | 12.5 | Equation of a plane in different forms |
| 21 Oct (F) | 13.1-13.3 | Derivatives and integrals along curves, arc length |
| 24 Oct (M) | 14.1-14.2 | Limits and continuity in 2- and 3-D |
| 26 Oct (W) | 14.3 | Partial derivatives |
| 27 Oct (Th) | Exam 2 | |
| 28 Oct (F) | 14.4 | Tangent planes and normal lines |
| 31 Oct (M) | 14.5 | Chain rule |
| 2 Nov (W) | 14.6 | Gradients and directional derivatives, I |
| 4 Nov (F) | 14.6 | Gradients and directional derivatives, II |
| 7 Nov (M) | 14.7 | Extreme values, I |
| 9 Nov (W) | 14.7-14.8 | Extreme values, II; Lagrange multipliers, I |
| 11 Nov (F) | 14.8 | Lagrange multipliers, II |
| 14 Nov (M) | Wrap up | |
| 18 Nov (F) | Final Exam |