Courant Institute New York University FAS CAS GSAS

Calendar for Calculus III, Fall 2009

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Author: Matthew Leingang <leingang@courant.nyu.edu>
Date: October 02, 2009

Course topics by week

Week Dates Section Topics
1 9/8–9/10 10.1 Three-dimensional Coordinate Systems
10.2 Vectors (TR only)
2 9/14–9/17 10.2 Vectors
10.3 The Dot Product
10.4 The Cross Product
3 9/21–9/24 10.5 Equations of Lines and Planes
10.6 Cylinders and Quadric Surfaces
4 9/28–10/1 10.7 Vector functions and space curves
10.8 Arc length and Curvature
10.9 Motion in Space: Velocity and Acceleration
5 10/5–10/8 11.1 Functions of Several Variables
11.2 Limits and Continuity
11.3 Partial Derivatives
6 10/12–10/15 11.4 Tangent Planes and Linear Approximation
Midterm
7 10/19–10/22 11.5 The Chain Rule
11.6 Directional Derivatives and the Gradient Vector
8 10/26–10/29 11.7 Maximum and Minimum Values
11.8 Lagrange Multipliers
9 11/2–11/5 12.1 Double Integrals over Rectangles
12.2 Double Integrals over General Regions
12.3 Double Integrals in Polar Coordinates
10 11/9–11/12 12.5 Triple Integrals
12.6 Triple Integrals in Cylindrical Coordinates
12.7 Triple Integrals in Spherical Coordinates
11 11/16–11/19 13.1 Vector Fields
13.2 Line Integrals
13.3 The Fundamental Theorem of Line Integrals
12 11/23–11/25 13.4 Green's Theorem
13.5 Curl and Divergence
13 11/30–12/3 13.6 Parametric Surfaces and their Areas
13.7 Surface Integrals
14 12/7–12/10 13.8 Stokes's Theorem
13.9 The Divergence Theorem
15 12/14–12/15 Review

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