Daily Schedule

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