Syllabus

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