Date 
Section 
Topic 
8/31 
11.1 
Vectors in the Plane 
9/2 
11.2, 11.3 
Vectors in Three Dimensions, Dot Products 
9/7 
11.3, 11.4 
Dot Products (cont), Cross Products 
9/9 
11.5, 11.6 
Equations of Lines and Curves, Calculus of vectorvalued functions 
9/12 
12.2 
Graphs and level curves 
9/14 
12.3 
Limits 
9/16 
12.4 
Limits, Partial Derivatives 
9/19 
12.4, 12.7, 12.5 
Differentiability, Tangent Planes, Chain rule 
9/21 
12.6, 12.7 
Directional Derivatives, Tangent Planes, Linear Approximation 
9/23 
12.7 
Linear Approximation, Review of Graphing 
9/26 

Exam Review 
9/28 

Midterm 
9/30 
12.8 
Local Extrema 
10/3 
12.9 
Lagrange Multipliers 
10/5 
13.1, 13.2 
Double Integrals 
10/7 
13.3 
Double Integrals in Polar Coordinates 
10/10 
13.4, 13.5 
Triple Integrals, Triple integrals in cylindrical coordinates 
10/12 
13.5 
Triple integrals in spherical coordinates 
10/14 
13.6, 13.7 
Center of mass, Change of coordinates 
10/17 
13.7 
Change of coordinates 
10/19 
13.7, 14.1 
Change of coordinates, vector fields 
10/21 
14.2 (see also 11.8) 
Line integrals 
10/24 
14.2 
Line integrals of vector fields 
10/26 
14.3 
Conservative vector fields 
10/28 
14.3 
Conservative vector fields 
10/31 

Exam Review 
11/2 

Midterm 
11/4 
14.3 
Conservative vector fields 
11/7 
14.4 
Green's Theorem 
11/9 
14.4 
Green's Theorem 
We expect to cover approximately the following chapters and sections: 11.111.6, 12.112.9, 13.113.5, 13.7, 14.114.8