Math 231 - Spring 2006 - Course Outline

All section numbers refer to James Stewart's "Multivariable Calculus, Early Transcendentals", 5th edition.

Week Reading Topics

1 (1/18)       12.1
      12.2 Three-Dimensional Coordinate Systems
Vectors

2 (1/23 - 1/25)       12.3
      12.4
      12.5 The Dot Product
The Cross Product
Equations of Lines and Planes

3 (1/30 - 2/1)       12.6
      12.7
      13.1 Cylinders and Quadratic Surfaces
Cylindrical and Spherical Coordinates
Vector Functions and Space Curves

4 (2/6 - 2/8)       13.2
      13.3
      13.4 Derivatives and Integrals of Vector Functions
Arc Length and Curvature
Motion in Space: Velocity and Acceleration

5 (2/13 - 2/15)       14.1
      * Functions of Several Variables
Prelim 1, February 15

6 (2/20 - 2/22)       14.2
      14.3
      14.4
Limits and Continuity
Partial Derivatives
Tangent Planes and Linear Approximations

7 (2/27 - 3/1)       14.5
      14.6
      14.7 The Chain Rule
Directional Derivatives and the Gradient Vector
Maximum and Minimum Values

8 (3/6 - 3/8)       4.2
      4.3
      4.4
Spring Break
Spring Break

9 (3/13 - 3/15)       14.8
      15.1
      15.3 Lagrange Multipliers
Double Integrals over Rectangles
Double Integrals over General Regions

10 (3/20 - 3/22)       15.4
      * Double Integrals in Polar Coordinates
Prelim II, March 22

11 (3/27 - 3/29)       15.5
      15.6
      15.7
Applications of Double Integrals
Surface Area
Triple Integrals

12 (4/3 - 4/5)       15.8
      15.9
      16.1 Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables in Multiple Integrals
Vector Fields

13 (4/10 - 4/12)       16.2
      16.3
      16.4 Line Integrals
The Fundamental Theorem for Line Integrals
Green's Theorem

14 (4/17 - 4/19)       16.5
      * Curl and Divergence
Prelim III, April 19

15 (4/24 - 4/26)       16.7
      16.8
      16.9 Surface Integrals
Stokes' Theorem
The Divergence Theorem

16 (5/1)       * Review

Week	Reading	Topics
1 (1/18)	12.1 12.2	Three-Dimensional Coordinate Systems Vectors
2 (1/23 - 1/25)	12.3 12.4 12.5	The Dot Product The Cross Product Equations of Lines and Planes
3 (1/30 - 2/1)	12.6 12.7 13.1	Cylinders and Quadratic Surfaces Cylindrical and Spherical Coordinates Vector Functions and Space Curves
4 (2/6 - 2/8)	13.2 13.3 13.4	Derivatives and Integrals of Vector Functions Arc Length and Curvature Motion in Space: Velocity and Acceleration
5 (2/13 - 2/15)	14.1 *	Functions of Several Variables Prelim 1, February 15
6 (2/20 - 2/22)	14.2 14.3 14.4	Limits and Continuity Partial Derivatives Tangent Planes and Linear Approximations
7 (2/27 - 3/1)	14.5 14.6 14.7	The Chain Rule Directional Derivatives and the Gradient Vector Maximum and Minimum Values
8 (3/6 - 3/8)	4.2 4.3 4.4	Spring Break Spring Break
9 (3/13 - 3/15)	14.8 15.1 15.3	Lagrange Multipliers Double Integrals over Rectangles Double Integrals over General Regions
10 (3/20 - 3/22)	15.4 *	Double Integrals in Polar Coordinates Prelim II, March 22
11 (3/27 - 3/29)	15.5 15.6 15.7	Applications of Double Integrals Surface Area Triple Integrals
12 (4/3 - 4/5)	15.8 15.9 16.1	Triple Integrals in Cylindrical and Spherical Coordinates Change of Variables in Multiple Integrals Vector Fields
13 (4/10 - 4/12)	16.2 16.3 16.4	Line Integrals The Fundamental Theorem for Line Integrals Green's Theorem
14 (4/17 - 4/19)	16.5 *	Curl and Divergence Prelim III, April 19
15 (4/24 - 4/26)	16.7 16.8 16.9	Surface Integrals Stokes' Theorem The Divergence Theorem
16 (5/1)	*	Review