Calendar for Calculus III, Spring 2010

Author: Matthew Leingang <leingang@courant.nyu.edu>
Date: February 02, 2010

Course topics by week

Week Dates Section Topics
1 1/18–1/21 10.1 Three-dimensional Coordinate Systems
10.2 Vectors (TR only)
2 1/25–1/24 10.2 Vectors
10.3 The Dot Product
10.4 The Cross Product
3 2/1–2/4 10.5 Equations of Lines and Planes
10.6 Cylinders and Quadric Surfaces
4 2/8–2/11 10.7 Vector functions and space curves
10.8 Arc length and Curvature
10.9 Motion in Space: Velocity and Acceleration
5 2/15–2/18 11.1 Functions of Several Variables
11.2 Limits and Continuity
11.3 Partial Derivatives (TR)
6 2/22–2/25 11.3 Partial Derivatives (MW)
11.4 Tangent Planes and Linear Approximation
11.5 The Chain Rule
7 3/1–3/4 11.6 Directional Derivatives and the Gradient Vector
Midterm
8 3/8–3/11 11.7 Maximum and Minimum Values
11.8 Lagrange Multipliers
SB 3/15–3/19 Spring Break
9 3/22–3/26 12.1 Double Integrals over Rectangles
12.2 Double Integrals over General Regions
12.3 Double Integrals in Polar Coordinates
10 3/29–4/1 12.5 Triple Integrals
12.6 Triple Integrals in Cylindrical Coordinates
12.7 Triple Integrals in Spherical Coordinates
11 4/5–4/8 13.1 Vector Fields
13.2 Line Integrals
13.3 The Fundamental Theorem of Line Integrals
12 4/12–4/15 13.4 Green's Theorem
13.5 Curl and Divergence
13 4/19–4/22 13.6 Parametric Surfaces and their Areas
13.7 Surface Integrals
14 4/26–4/29 13.8 Stokes's Theorem
13.9 The Divergence Theorem
15 5/3 Review (MW sections)

For final exam days and times by class meeting time, please see the registrar's exam page.