This is our plan for the course; it may change in minor ways.
| Class day | Textbook sections | Topics | 1/3 (W) | 11.1 | Math 3 review; infinite sequences |
|---|---|---|
| 1/5 (F) | 11.2 | Infinite series; geometric series |
| 1/8 (M) | 11.3 | Integral test; estimating sums |
| 1/10 (W) | 11.6 | Absolute convergence; the ratio test |
| 1/12 (F) | 11.8 | Power series and radius of convergence |
| 1/15 (M) | CANCELED: In celebration of Martin Luther King's birthday, today's class is moved to this week's X-hour. | |
| 1/16 (Tu) 1/17 (W) |
11.9 | Functions as power series (including differentiation and integration) |
| 1/17 (W) 1/18 (Th) |
11.10 | Taylor and Maclaurin series |
| 1/19 (F) | 11.10 | Taylor and Maclaurin series (continued) |
| 1/22 (M) | 11.11 | Approximating functions by Taylor polynomials (end of new material for first midterm) |
| 1/24 (W) | Midterm review | |
| 1/26 (F) | 12.1–12.2 | Coordinates in Rn as a vector space; distance formula; simple surfaces |
| 1/26 (F) | FIRST MIDTERM EXAM: 6:00–8:00 pm, Moore Hall B13 Filene Auditorium | |
| 1/29 (M) | 12.3 | Dot products and projections |
| 1/31 (W) | 12.3 | Dot products and projections (continued) |
| 2/2 (F) | 12.4 | Cross products and geometry; relation to volume and area |
| 2/5 (M) | 12.5 | Lines in different forms; planes in vector and standard forms |
| 2/7 (W) | 12.5 | Equation of a plane in different forms |
| 2/9 (F) | 13.1 | Vector functions and curves |
| 2/12 (M) | 13.2–13.3 | Derivatives and integrals along curves; arc length (end of new material for second midterm) |
| 2/14 (W) | 14.1–14.2 | Functions of several variables; limits and continuity |
| 2/16 (F) | 14.3 | Partial derivatives |
| 2/16 (F) | SECOND MIDTERM EXAM: 6:00–8:00 pm, Moore Hall B13 Filene Auditorium | |
| 2/19 (M) | 14.4 | Tangent planes and normal lines |
| 2/20 (Tu) | Last day to withdraw | |
| 2/21 (W) | 14.5 | Chain rule |
| 2/23 (F) | 14.6 | Gradients and directional derivatives |
| 2/26 (M) | 14.6 | Gradients and directional derivatives (continued) |
| 2/28 (W) | 14.7 | Extreme values |
| 3/2 (F) | 14.8 | Lagrange multipliers |
| 3/5 (M) | Wrap-up | |
| 3/9 (F) | FINAL EXAM: 3:00–6:00, Steele Hall 006 |