| Topics | Sections in Text | Assignments |
|---|---|---|
| Convergence of seqences and series, telescoping series, geometric series,integral test, p-series | 9.1,9.2,9.3 | WebWork Set1 (due Sept. 17) |
| Comparison tests, ratio and root tests, alternating series,
absolute and conditional convergence, radius and interval of convergence of a power series |
9.3,9.4,9.5 | WebWork Set2 (due Sept. 28) |
| Algebraic operations on power series, differentiation and integration of power series,
Taylor and Maclaurin series, Taylor's formula, binomial series, series solution of differential equations |
9.5, 9.6, 9.7, 9.8, 9.9, 9.10 | WebWork Set3 (due Oct. 15) |
| Series | 9.1-9.10 | Written Assignment 1 Solutions |
| Review of vectors and analytic geometry in 3-space,
differentiation and integration of vector valued functions of one-variable, parametrized curves, tangents |
10.1, 10.2, 10.3, 10.4, 10.5, 11.1, 11.3 |
WebWork Set4 (due Oct. 26) |
| Arclength of curves, unit tangent, normal and binormal
vectors, curvature and torsion, Frenet formulas, tangent and normal accelerations |
11.3,11.4, 11.5 | WebWork Set5 (due Nov. 5) |
| Functions of several variables, limits and continuity, partial derivatives,
tangent planes and normal lines, wave and Laplace equation |
12.1, 12.2, 12.3, 12.4 | WebWork Set6 (due Nov 16) |
| Linear approximation, differentiability, chain rule, gradients and directional
derivatives, implicit functions | 12.5, 12.6, 12.7, 12.8 | WebWork Set7 (due Nov. 26) |
| Vector valued functions and curves Functions of several variables |
10.1-10.5, 11.1, 11.2-11.5 12.1-12.8 |
Written Assignment 2 Solutions |
| Critical points
and their classification, extreme values on restricted domains, method of Lagrange multipliers with one or more constraints | 13.1, 13.2 13.3 | WebWork Set8 (due Dec. 2) |