The following is a tentative schedule for the course. Please check back regularly for updates as the term progresses.
Day | Lectures | Sections in Text | Brief Description |
---|---|---|---|
1 | 11 Sep (M) | 4.1-4.5 | Review of Math 3: Riemann sums and the Fundamental Theorem of Calculus |
2 | 13 Sep (W) | 11.2 | Infinite series; geometric series |
3 | 15 Sep (F) | 11.3 | The integral test |
4 | 18 Sep (M) | 11.4, 11.6 | Comparison tests; ratio test |
5 | 20 Sep (W) | 11.6, 11.8 | Power series; ratio test and radius of convergence |
6 | 22 Sep (F) | 11.9 | Functions as power series (incl. differentiation and integration) |
7 | 25 Sep (M) | 11.10 | Taylor and Maclaurin series, I |
8 | 27 Sep (W) | 11.10 | Taylor and Maclaurin series, II |
9 | 29 Sep (F) | 11.11 | Taylor polynomials; remainder estimates |
10 | 2 Oct (M) | Review | |
11 | 4 Oct (W) | 12.1-12.2 | Coordinates in R^n as a vector space; distance forrmula; simple surfaces |
4 Oct (W) | Exam 1 | ||
12 | 6 Oct (F) | 12.3 | Dot products and projections, I |
13 | 9 Oct (M) | 12.3 | Dot products and projections, II |
14 | 11 Oct (W) | 12.4 | Cross products and geometry; relation to volume/area |
15 | 13 Oct (F) | 12.5 | Lines in different forms; planes in vector and standard forms |
16 | 16 Oct (M) | 12.5 | Equation of a plane in different forms |
17 | 18 Oct (W) | 13.1-13.3 | Derivatives and integrals along curves, arc length |
18 | 20 Oct (F) | 14.1-14.2 | Limits and continuity in 2- and 3-D |
19 | 23 Oct (M) | Review | |
20 | 25 Oct (W) | 14.3 | Partial derivatives |
25 Oct (W) | Exam 2 | ||
21 | 27 Oct (F) | 14.4 | Tangent planes and normal lines |
22 | 30 Oct (M) | 14.5 | Chain rule |
23 | 1 Nov (W) | 14.6 | Gradients and directional derivatives, I |
24 | 3 Nov (F) | 14.6 | Gradients and directional derivatives, II |
25 | 6 Nov (M) | 14.7 | Extreme values, I |
26 | 8 Nov (W) | 14.7-14.8 | Extreme values, II; Lagrange multipliers, I |
27 | 10 Nov (F) | 14.8 | Lagrange multipliers, II |
28 | 13 Nov (M) | Wrap up | |
TBA | Final Exam |